From e13a83e01a7a32054c2b54d801e73bae420689a8 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Mon, 16 Mar 2026 19:05:59 -0400 Subject: [PATCH 01/20] fixed date --- _posts/2026-3-16-overtone.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-3-16-overtone.md b/_posts/2026-3-16-overtone.md index 28e48a7..7376676 100644 --- a/_posts/2026-3-16-overtone.md +++ b/_posts/2026-3-16-overtone.md @@ -3,7 +3,7 @@ layout: post title: "Overtone: Flexible and Cleaner Physics Emulators with Cyclic Patch Modulation" authors: Payel Mukhopadhyay, Michael McCabe, Ruben Ohana, Miles Cranmer shorttitle: "Overtone: Flexible and Cleaner Physics Emulators" -date: 2026-01-15 11:00 +date: 2026-03-16 smallimage: overtone/modulator-diagram-02.png image: overtone/modulator-diagram-02.png blurb: Overtone introduces compute-flexible tokenization for transformer-based PDE surrogates, enabling a single model to trade speed for accuracy at inference time while also reducing long-rollout patch artifacts through cyclic patch modulation. From 0896bc18c3696161a94f0c5dd8fb5a0659059945 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 18:32:17 -0400 Subject: [PATCH 02/20] walrus rti blog stuff --- _posts/2026-5-20-walrus-rti.md | 137 +++++++++++++++++++++++++++++++++ 1 file changed, 137 insertions(+) create mode 100644 _posts/2026-5-20-walrus-rti.md diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md new file mode 100644 index 0000000..f0e793d --- /dev/null +++ b/_posts/2026-5-20-walrus-rti.md @@ -0,0 +1,137 @@ +--- +layout: post +title: "Emergent Transfer of a Physics Foundation Model: From Simulation to Laboratory Turbulence" +authors: Payel Mukhopadhyay, Stefan Nixon, Romain Watteaux, Alberto Bietti, Kyunghyun Cho, Cristiana Diaconu, Irina Espejo Morales, David Fouhey, Siavash Golkar, Tom Hehir, Shirley Ho, Jake Kovalic, Géraud Krawezik, François Lanusse, Tanya Marwah, Michael McCabe, Rudy Morel, Mariel Pettee, Helen Qu, Jeff Shen, Hadi Sotoudeh, Stuart Dalziel, Miles Cranmer +shorttitle: "A Physics Foundation Model Bridges Simulation and Laboratory Turbulence" +date: 2026-05-21 +smallimage: walrus-rti/rti-alpha-comparison.png +image: walrus-rti/rti-alpha-comparison.png +blurb: Can a physics foundation model finetuned only on idealized simulation transfer to real laboratory experiments it was never trained on? We test this on Rayleigh-Taylor instability, where simulation and experiment have disagreed on the mixing growth rate for decades, and show that Walrus crosses the divide zero-shot, entering the experimentally observed growth band and shedding independent light on a longstanding debate. +shortblurb: A physics foundation model finetuned on idealized simulations transfers zero-shot to laboratory turbulence, crossing a decades-old sim-experiment gap in the mixing growth rate. +splashimage: /images/blog/walrus-rti/rti-summary.png +link: https://arxiv.org/abs/TBD +permalink: /blog/walrus-rti/ +--- + +Foundation models are increasingly being applied to the physical sciences, but whether they can be usefully deployed on real laboratory experiments remains an open question. We test this on **Rayleigh-Taylor instability (RTI)**, one of the most enduring challenges in fluid dynamics. RTI drives some of the most consequential mixing processes in the Universe, from inertial confinement fusion to supernova explosions to ocean mixing. Standard ML models struggle with it, and despite more than a century of work it carries a stubborn, unresolved discrepancy between simulation and experiment: the late-time mixing growth rate coefficient α measured in most laboratory experiments sits near 0.06-0.07, roughly three times the value from idealized direct numerical simulations which give an α between 0.02-0.03. The origin of this gap is still debated. That makes RTI a stringent test for a question that matters well beyond RTI itself: can foundation models finetuned on idealized simulations can generalise to sparse, complex and noisy settings of laboratory data where they were never trained on? The sim-experiment gap in α is a precise, quantitative measure of whether that generalisation has succeeded. + +We finetune **Walrus**, a foundation model pretrained on a broad corpus of continuum dynamics simulations, on just one to three **direct numerical simulation (DNS)** realizations of RTI, with no physics-informed loss. The finetuned model recovers canonical RTI diagnostics over full autoregressive rollouts. Applied zero-shot to initial conditions from real sliding-barrier laboratory experiments, with no experimental training data at any stage, its predicted late-time growth rate rises into the experimentally observed band. The result provides independent, data-driven evidence on a decades-long unresolved debate in the RTI community. + +

+ Overview figure: (A) finetuning Walrus on DNS and evaluating on held-out simulations, (B) zero-shot transfer to sliding-barrier laboratory experiments, (C) zero-shot transfer to stably stratified RTI +
+ (A) Walrus finetuned on a small number of 3D RTI DNS realizations, evaluated on independent held-out simulations. (B) Zero-shot transfer to sliding-barrier experiments: Walrus enters the experimentally observed late-time growth band without any experimental training data. (C) Zero-shot transfer to stratified RTI: finetuned only on unstratified DNS, Walrus responds correctly to stable background stratification. +

+ +--- + +## Why RTI is the right test case +
+ +Place a heavy fluid above a light one in a gravitational field, and a quiet interface erupts. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. Idealized DNS usually begins from clean, short-wavelength perturbations and settles near α ≈ 0.02-0.03, while many laboratory experiments carry apparatus-driven, large-scale initial structure and reach α ≈ 0.06-0.07. This makes RTI a sharp test of whether a foundation model has learned more than the DNS regime it was finetuned on. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames, then the input initial frames alone have moved it across the sim-to-real divide. + +--- + +## Emulation: learning RTI physics from very little data +
+

+ Comparison of DNS and Walrus rollout showing RTI bubble morphology and mixing layer development +
+ Four representative times comparing DNS (top) and Walrus (bottom) on a held-out test realization. The model tracks mixed-layer growth and preserves dominant plume structures through the nonlinear and turbulent stages. +

+ +Walrus is pretrained on a broad corpus of continuum dynamics simulations with RTI explicitly excluded, so RTI physics must be learned entirely through finetuning. We finetune on between one and three 3D DNS realizations, with no physics-informed loss. Whatever physical structure appears in the rollouts emerges from the data alone. + +

+ Mixing layer height h(t) and growth rate coefficient alpha(t) comparing DNS and Walrus rollout +
+ Mixing-layer height h(t) (left) and growth rate coefficient α(t) (right) on a held-out test realization. Walrus tracks the DNS closely through the full rollout, settling near α ≈ 0.02 in the self-similar regime. +

+ +

+ Kinetic energy spectra comparing DNS and Walrus rollout +
+ Kinetic energy spectra in the self-similar regime. Walrus matches the DNS shape and amplitude across the inertial range. +

+ +On held-out test realizations, the finetuned model recovers the canonical diagnostics simultaneously. Bubble morphology and mixed-layer growth track the DNS through the onset of turbulence. The kinetic energy spectrum matches across the inertial range. The global energy budget is reproduced over the full rollout. Conventional surrogate models typically diverge within a handful of autoregressive steps, so sustaining all three over long rollouts is a genuine test of whether the model has encoded physical structure rather than memorized specific trajectories. + +Finetuning on a single DNS realization already gets close; adding a second or third tightens agreement only incrementally. The broad fluid prior means only a few examples are needed to specialize. + +--- + +## Sim-to-real: zero-shot transfer to the laboratory +
+ +

+ Sliding-barrier experimental apparatus at the GK Batchelor Laboratory +
+ The sliding-barrier apparatus at the GK Batchelor Laboratory, Cambridge. Two fluid layers of differing density are separated by a polycarbonate barrier. At release, the interface is seeded with large-scale perturbation structure driven by barrier motion, structural vibration, and molecular diffusion. +

+ +The sim-experiment gap in α has a leading candidate explanation: initial conditions. DNS uses idealized short-wavelength perturbations at the interface. Laboratory flows carry large-scale structure set by the barrier release, driven by apparatus motion, vibration, and molecular diffusion, which is notoriously difficult to parametrize numerically. The two initial interfaces look nothing alike. + +

+ Initial conditions comparison: DNS interface versus experimental interface +
+ Initial concentration fields for a DNS realization (left) and a sliding-barrier experimental sample (right). The DNS interface carries short-wavelength perturbations; the experimental interface carries large-scale structure set by the barrier release. This difference is the leading candidate explanation for the factor-of-three gap in α. +

+ +We finetune Walrus on 2D slices from a single DNS realization, then apply it directly to initial conditions from six sliding-barrier laboratory experiments with no experimental training data at any stage. + +

+ Late-time growth rate coefficient alpha on held-out laboratory experiments: zero-shot (left) and experimentally finetuned (right) +
+ Growth rate coefficient α(t) on held-out laboratory experiments. Left: zero-shot, no experimental training data. Right: after light finetuning on two experimental samples. In both cases Walrus enters the experimentally observed late-time growth band. +

+ +The DNS-specialized model, given experimental initial frames, rises into the experimentally observed self-similar band at late times. The same model given DNS frames settles near α ≈ 0.02. The only difference between the two rollouts is the input. + +What this reveals about the learned representation matters more than the number itself. Self-similar RTI growth is governed by h(t) ∼ α At g t², and α depends on how the flow was seeded. The model was trained exclusively on DNS with short-wavelength initial conditions and low α. Given experimental frames carrying large-scale initial structure, it produces a higher late-time α, in the physically correct direction. The model has encoded the dependence of self-similar growth on initial condition structure, general enough to carry from the DNS-like regime to the laboratory. + +That this happens from experimental initial frames alone supports the view that initial conditions drive a substantial part of the sim-experiment discrepancy in α. It is independent, data-driven evidence on a debate that has resisted resolution through simulation alone. + +The shift is robust across different amounts of input context. With just two experimental samples, a lightweight finetuning stage further improves agreement through the early transient, while the late-time α already reached zero-shot is preserved. + +--- + +## Zero-shot transfer to new physics: stable stratification +
+

+ Horizontally averaged concentration profiles for stratified DNS reference and Walrus zero-shot rollout +
+ Mean concentration profiles for the stratified DNS reference (b) and the corresponding zero-shot Walrus rollout (c), finetuned only on unstratified RTI. Stable stratification confines mixing near the midplane; Walrus captures this without ever seeing stratified flows during training. +

+ +The experimental result crosses the simulation-to-real divide. But sim-to-real transfer alone does not tell us whether the model has learned RTI as a broader buoyancy-driven phenomenon, or only the unstratified dynamics it saw during finetuning. To ask that question, we need to change the physics in a controlled way: keep the problem in the RTI family, but alter how buoyancy acts on the mixing layer. + +We test this by applying the DNS-finetuned model to **stably stratified RTI**, a regime where a stable background density gradient acts as a restoring force, suppressing vertical spreading and confining the mixing layer near the midplane. This regime was entirely absent from finetuning. + +In unstratified RTI, buoyancy drives the mixing layer to spread indefinitely. In stably stratified RTI, it arrests that spreading. A model that had only pattern-matched unstratified DNS trajectories would keep spreading. Walrus confines the mixing layer, matching the qualitative behavior of the stratified DNS reference over rollouts extending well beyond the training horizon. The discrepancy is one of degree rather than kind: the model predicts slightly stronger spreading at late times, but the physical response to stratification is correct. + +The learned representation carries something about how buoyancy governs mixing, not unstratified RTI as a specific flow pattern, but the underlying physics that makes RTI respond differently when the buoyancy balance changes. + +--- + +## What this means +
+ +RTI is a worst case. It is chaotic and multiscale, standard ML architectures fail on it, and it carries a well-quantified simulation-experiment discrepancy that has persisted for decades. A foundation model finetuned on a handful of idealized simulations transfers zero-shot to real laboratory data, sheds independent light on that debate, and responds correctly to a physical regime it was never shown. + +Prior attempts to close the sim-experiment gap for RTI each required a bespoke numerical setup tailored to the specific experimental apparatus. Here, only a few experimental samples and a lightweight finetuning stage suffice. + +The question of how the model achieves this transfer remains open. Until we understand that, its inferences remain, in a useful sense, a fiction. Traditional simulations and the Navier-Stokes equations are themselves fictions: approximations of true physics, just as experimental measurements are only approximate representations of the underlying flow. The question is whether foundation models offer new, useful fictions despite relying on imperfect training data. Our results suggest they do. + +--- + +### Open source resources +
+Materials: +* **Paper:** [Emergent Transfer of a Physics Foundation Model: From Simulation to Laboratory Turbulence](https://arxiv.org/abs/TBD) + +*-- Payel Mukhopadhyay, Stefan Nixon, Romain Watteaux, Alberto Bietti, Kyunghyun Cho, Cristiana Diaconu, Irina Espejo Morales, David Fouhey, Siavash Golkar, Tom Hehir, Shirley Ho, Jake Kovalic, Géraud Krawezik, François Lanusse, Tanya Marwah, Michael McCabe, Rudy Morel, Mariel Pettee, Helen Qu, Jeff Shen, Hadi Sotoudeh, Stuart Dalziel, Miles Cranmer* + +--- +**Acknowledgements** + +We would like to acknowledge the support of Schmidt Sciences and the Simons Foundation. This work was supported in part by the AI2050 program at Schmidt Sciences (Grant G-25-70028). Dr. Mukhopadhyay thanks the Infosys-Cambridge AI centre for support. Additionally, computations were run at facilities supported by the Scientific Computing Core at the Flatiron Institute. The Flatiron Institute is a division of the Simons Foundation. The authors thank Lucy Reading-Ikkanda for assistance with figures. Miles Cranmer is grateful for support from the Schmidt Sciences AI2050 Early Career Fellowship and the Isaac Newton Trust. S.S. Nixon and R. Watteaux thank the CEA's Centre de Calcul Recherche et Technologie for facilitating DNS computations. S. S. Nixon gratefully acknowledges CEA for funding his PhD research and thanks the technical staff at the G. K. Batchelor Laboratory (DAMTP, University of Cambridge) for their invaluable assistance in completing the experiments. \ No newline at end of file From 63852ab7fcad60f8c9b57b9eeeb5f6f04624a2dd Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 18:37:26 -0400 Subject: [PATCH 03/20] Add Walrus RTI blog post --- .../blog/walrus-rti/rti-alpha-comparison.png | Bin 0 -> 170670 bytes images/blog/walrus-rti/rti-exp-plots.png | Bin 0 -> 244207 bytes images/blog/walrus-rti/rti-exp-setup.png | Bin 0 -> 177307 bytes .../walrus-rti/rti-initial-conditions.png | Bin 0 -> 74691 bytes .../walrus-rti/rti-morphology-comparison.png | Bin 0 -> 453034 bytes images/blog/walrus-rti/rti-spectra-alpha.png | Bin 0 -> 166599 bytes .../walrus-rti/rti-stratified-profiles.png | Bin 0 -> 323907 bytes images/blog/walrus-rti/rti-summary.png | Bin 0 -> 2455491 bytes 8 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 images/blog/walrus-rti/rti-alpha-comparison.png create mode 100644 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With just two exp --- -## Zero-shot transfer to new physics: stable stratification +## Zero-shot transfer to new physical regime: stable stratification

    Horizontally averaged concentration profiles for stratified DNS reference and Walrus zero-shot rollout From c6edc3c28b351e0ec6fa97838bbb9ecac0a5662a Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 18:42:53 -0400 Subject: [PATCH 05/20] tweak blog post --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index be85df0..b08e833 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -13,7 +13,7 @@ link: https://arxiv.org/abs/TBD permalink: /blog/walrus-rti/ --- -Foundation models are increasingly being applied to the physical sciences, but whether they can be usefully deployed on real laboratory experiments remains an open question. We test this on **Rayleigh-Taylor instability (RTI)**, one of the most enduring challenges in fluid dynamics. RTI drives some of the most consequential mixing processes in the Universe, from inertial confinement fusion to supernova explosions to ocean mixing. Standard ML models struggle with it, and despite more than a century of work it carries a stubborn, unresolved discrepancy between simulation and experiment: the late-time mixing growth rate coefficient α measured in most laboratory experiments sits near 0.06-0.07, roughly three times the value from idealized direct numerical simulations which give an α between 0.02-0.03. The origin of this gap is still debated. That makes RTI a stringent test for a question that matters well beyond RTI itself: can foundation models finetuned on idealized simulations can generalise to sparse, complex and noisy settings of laboratory data where they were never trained on? The sim-experiment gap in α is a precise, quantitative measure of whether that generalisation has succeeded. +Foundation models are increasingly being applied to the physical sciences, but whether they can be usefully deployed on real laboratory experiments remains an open question. We test this on **Rayleigh-Taylor instability (RTI)**, one of the most enduring challenges in fluid dynamics. RTI drives some of the most consequential mixing processes in the Universe, from inertial confinement fusion to supernova explosions to ocean mixing. Standard ML models struggle with it, and despite more than a century of work it carries a stubborn, unresolved discrepancy between simulation and experiment: the late-time mixing growth rate coefficient α measured in most laboratory experiments sits near 0.06-0.07, roughly three times the value from idealized direct numerical simulations which give an α between 0.02-0.03. The origin of this gap is still debated. That makes RTI a stringent test for a question that matters well beyond RTI itself: can foundation models finetuned on idealized simulations generalise to sparse, complex and noisy settings of laboratory data where they were never trained on? The sim-experiment gap in α is a precise, quantitative measure of whether that generalisation has succeeded. We finetune **Walrus**, a foundation model pretrained on a broad corpus of continuum dynamics simulations, on just one to three **direct numerical simulation (DNS)** realizations of RTI, with no physics-informed loss. The finetuned model recovers canonical RTI diagnostics over full autoregressive rollouts. Applied zero-shot to initial conditions from real sliding-barrier laboratory experiments, with no experimental training data at any stage, its predicted late-time growth rate rises into the experimentally observed band. The result provides independent, data-driven evidence on a decades-long unresolved debate in the RTI community. From 55d73cf56fa78cd06d949c18a8dc6d89a30cdcde Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 18:45:39 -0400 Subject: [PATCH 06/20] tweak blog post --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index b08e833..09f80ff 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -28,7 +28,7 @@ We finetune **Walrus**, a foundation model pretrained on a broad corpus of conti ## Why RTI is the right test case
    -Place a heavy fluid above a light one in a gravitational field, and a quiet interface erupts. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. Idealized DNS usually begins from clean, short-wavelength perturbations and settles near α ≈ 0.02-0.03, while many laboratory experiments carry apparatus-driven, large-scale initial structure and reach α ≈ 0.06-0.07. This makes RTI a sharp test of whether a foundation model has learned more than the DNS regime it was finetuned on. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames, then the input initial frames alone have moved it across the sim-to-real divide. +Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. Idealized DNS usually begins from clean, short-wavelength perturbations and settles near α ≈ 0.02-0.03, while laboratory experiments carry apparatus-driven, large-scale initial structure and reach α ≈ 0.06-0.07. This makes RTI a sharp test of whether a foundation model has learned more than the DNS regime it was finetuned on. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero-shot, then the input initial frames alone have moved it across the sim-to-real divide. --- From 42e23806e5c3579269d525f4e4826da9a5c3a7b1 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 18:52:33 -0400 Subject: [PATCH 07/20] tweak blog post --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 09f80ff..a9849be 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -28,7 +28,7 @@ We finetune **Walrus**, a foundation model pretrained on a broad corpus of conti ## Why RTI is the right test case
    -Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. Idealized DNS usually begins from clean, short-wavelength perturbations and settles near α ≈ 0.02-0.03, while laboratory experiments carry apparatus-driven, large-scale initial structure and reach α ≈ 0.06-0.07. This makes RTI a sharp test of whether a foundation model has learned more than the DNS regime it was finetuned on. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero-shot, then the input initial frames alone have moved it across the sim-to-real divide. +Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. In the late-time, approximately self-similar regime, the bulk mixing width follows `h(t) ∼ α A_t g t²`, where `A_t` is the Atwood number, `g` is the acceleration, and `α` is the dimensionless growth coefficient that measures how fast the layer grows. This late-time regime is the comparison that matters: idealized DNS usually settles near `α ≈ 0.02-0.03`, while most laboratory experiments reach `α ≈ 0.06-0.07`. Because the model is finetuned only on idealized DNS, it has only seen the low-α regime during training. Entering the higher experimental α band from experimental input frames is therefore the nontrivial test. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero shot, then the input initial frames alone have moved it across the sim-to-real divide. That is the central transfer test in the paper. --- From 033cba3fa40330de94015efbff92b25586fdea8f Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 18:57:57 -0400 Subject: [PATCH 08/20] tweak blog post --- _posts/2026-5-20-walrus-rti.md | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index a9849be..197a882 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -80,9 +80,9 @@ The sim-experiment gap in α has a leading candidate explanation: initial condit We finetune Walrus on 2D slices from a single DNS realization, then apply it directly to initial conditions from six sliding-barrier laboratory experiments with no experimental training data at any stage.

    - Late-time growth rate coefficient alpha on held-out laboratory experiments: zero-shot (left) and experimentally finetuned (right) + Zero-shot transfer from idealized DNS to laboratory RTI. Left: the DNS-specialized Walrus model tracks held-out 2D DNS slices and settles into the low-α DNS regime near α ≈ 0.02. Right: the same model, with the same weights, is initialized from sliding-barrier experimental frames instead. Without any experimental training data, its rollout enters the late-time experimentally observed growth band, showing that the input experimental initial conditions are sufficient to move the model across the simulation-to-laboratory gap.
    - Growth rate coefficient α(t) on held-out laboratory experiments. Left: zero-shot, no experimental training data. Right: after light finetuning on two experimental samples. In both cases Walrus enters the experimentally observed late-time growth band. +

    The DNS-specialized model, given experimental initial frames, rises into the experimentally observed self-similar band at late times. The same model given DNS frames settles near α ≈ 0.02. The only difference between the two rollouts is the input. @@ -91,6 +91,12 @@ What this reveals about the learned representation matters more than the number That this happens from experimental initial frames alone supports the view that initial conditions drive a substantial part of the sim-experiment discrepancy in α. It is independent, data-driven evidence on a debate that has resisted resolution through simulation alone. +

    + Late-time growth rate coefficient alpha on held-out laboratory experiments: zero-shot (left) and experimentally finetuned (right) +
    + Growth rate coefficient α(t) on held-out laboratory experiments. Left: zero-shot, no experimental training data. Right: after light finetuning on two experimental samples. In both cases Walrus enters the experimentally observed late-time growth band. +

    + The shift is robust across different amounts of input context. With just two experimental samples, a lightweight finetuning stage further improves agreement through the early transient, while the late-time α already reached zero-shot is preserved. --- From d5770341b4d656c9360a39005c46d332ab6368f7 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 18:59:41 -0400 Subject: [PATCH 09/20] tweak blog post --- _posts/2026-5-20-walrus-rti.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 197a882..7c9d4e7 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -80,9 +80,9 @@ The sim-experiment gap in α has a leading candidate explanation: initial condit We finetune Walrus on 2D slices from a single DNS realization, then apply it directly to initial conditions from six sliding-barrier laboratory experiments with no experimental training data at any stage.

    - Zero-shot transfer from idealized DNS to laboratory RTI. Left: the DNS-specialized Walrus model tracks held-out 2D DNS slices and settles into the low-α DNS regime near α ≈ 0.02. Right: the same model, with the same weights, is initialized from sliding-barrier experimental frames instead. Without any experimental training data, its rollout enters the late-time experimentally observed growth band, showing that the input experimental initial conditions are sufficient to move the model across the simulation-to-laboratory gap. + Growth coefficient alpha for DNS validation and zero-shot transfer from DNS-specialized Walrus to laboratory RTI
    - + Zero-shot transfer from idealized DNS to laboratory RTI. Left: the DNS-specialized Walrus model tracks held-out 2D DNS slices and settles into the low-α DNS regime near α ≈ 0.02. Right: the same model, with the same weights, is initialized from sliding-barrier experimental frames instead. Without any experimental training data, its rollout enters the late-time experimentally observed growth band, showing that the input experimental initial conditions are sufficient to move the model across the simulation-to-laboratory gap.

    The DNS-specialized model, given experimental initial frames, rises into the experimentally observed self-similar band at late times. The same model given DNS frames settles near α ≈ 0.02. The only difference between the two rollouts is the input. 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zLDnI~*in&wtPUD~?-toHh&jU`4>h_`I|kva0rX-ZC=);h1k`n9A}+ruFTV~Li>TYSg?LE=i=JRu6b<8x0T%Uz zEGRulelgaJ?*!~8r1>l5{?8v6!MY1_a&m7wQ}pBhq8XGWm}WX9V>He`2f`8Ud7!JQ z2Lo?S5eJa}0DkOa55d5pZon5X~a zqZi2tKaa1s{kG Date: Sun, 31 May 2026 19:05:46 -0400 Subject: [PATCH 11/20] add a comment on transient --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 7c9d4e7..089365c 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -85,7 +85,7 @@ We finetune Walrus on 2D slices from a single DNS realization, then apply it dir Zero-shot transfer from idealized DNS to laboratory RTI. Left: the DNS-specialized Walrus model tracks held-out 2D DNS slices and settles into the low-α DNS regime near α ≈ 0.02. Right: the same model, with the same weights, is initialized from sliding-barrier experimental frames instead. Without any experimental training data, its rollout enters the late-time experimentally observed growth band, showing that the input experimental initial conditions are sufficient to move the model across the simulation-to-laboratory gap.

    -The DNS-specialized model, given experimental initial frames, rises into the experimentally observed self-similar band at late times. The same model given DNS frames settles near α ≈ 0.02. The only difference between the two rollouts is the input. +The DNS-specialized model, given experimental initial frames, rises into the experimentally observed self-similar band at late times. We do not expect it to reproduce the early sliding-barrier transient, which is absent from the idealized DNS used for finetuning. The meaningful comparison is the late-time regime where `α` is defined: the same model given DNS frames settles near α ≈ 0.02, while the model given experimental frames enters the higher experimental growth band. The only difference between the two rollouts is the input. What this reveals about the learned representation matters more than the number itself. Self-similar RTI growth is governed by h(t) ∼ α At g t², and α depends on how the flow was seeded. The model was trained exclusively on DNS with short-wavelength initial conditions and low α. Given experimental frames carrying large-scale initial structure, it produces a higher late-time α, in the physically correct direction. The model has encoded the dependence of self-similar growth on initial condition structure, general enough to carry from the DNS-like regime to the laboratory. From fac85d961c1b9c5735c90dedd23508144e8e725d Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 19:09:35 -0400 Subject: [PATCH 12/20] tweak math symbols in the write-up --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 089365c..cac8954 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -28,7 +28,7 @@ We finetune **Walrus**, a foundation model pretrained on a broad corpus of conti ## Why RTI is the right test case
    -Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. In the late-time, approximately self-similar regime, the bulk mixing width follows `h(t) ∼ α A_t g t²`, where `A_t` is the Atwood number, `g` is the acceleration, and `α` is the dimensionless growth coefficient that measures how fast the layer grows. This late-time regime is the comparison that matters: idealized DNS usually settles near `α ≈ 0.02-0.03`, while most laboratory experiments reach `α ≈ 0.06-0.07`. Because the model is finetuned only on idealized DNS, it has only seen the low-α regime during training. Entering the higher experimental α band from experimental input frames is therefore the nontrivial test. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero shot, then the input initial frames alone have moved it across the sim-to-real divide. That is the central transfer test in the paper. +Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. In the late-time, approximately self-similar regime, the bulk mixing width follows h(t) ∼ α At g t², where At is the Atwood number, g is the acceleration, and α is the dimensionless growth coefficient that measures how fast the layer grows. This late-time regime is the comparison that matters: idealized DNS usually settles near α ≈ 0.02-0.03, while most laboratory experiments reach α ≈ 0.06-0.07. Because the model is finetuned only on idealized DNS, it has only seen the low-α regime during training. Entering the higher experimental α band from experimental input frames is therefore the nontrivial test. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero shot, then the input initial frames alone have moved it across the sim-to-real divide. That is the central transfer test in the paper. --- From 997b36be0a4ea02612ad3858cd97f89393ae759a Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Sun, 31 May 2026 19:14:32 -0400 Subject: [PATCH 13/20] final blog polish --- _posts/2026-5-20-walrus-rti.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index cac8954..3a74ca3 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -13,9 +13,9 @@ link: https://arxiv.org/abs/TBD permalink: /blog/walrus-rti/ --- -Foundation models are increasingly being applied to the physical sciences, but whether they can be usefully deployed on real laboratory experiments remains an open question. We test this on **Rayleigh-Taylor instability (RTI)**, one of the most enduring challenges in fluid dynamics. RTI drives some of the most consequential mixing processes in the Universe, from inertial confinement fusion to supernova explosions to ocean mixing. Standard ML models struggle with it, and despite more than a century of work it carries a stubborn, unresolved discrepancy between simulation and experiment: the late-time mixing growth rate coefficient α measured in most laboratory experiments sits near 0.06-0.07, roughly three times the value from idealized direct numerical simulations which give an α between 0.02-0.03. The origin of this gap is still debated. That makes RTI a stringent test for a question that matters well beyond RTI itself: can foundation models finetuned on idealized simulations generalise to sparse, complex and noisy settings of laboratory data where they were never trained on? The sim-experiment gap in α is a precise, quantitative measure of whether that generalisation has succeeded. +Foundation models are increasingly being applied to the physical sciences, but whether they can be usefully deployed on real laboratory experiments remains an open question. We test this on **Rayleigh-Taylor instability (RTI)**, one of the most enduring challenges in fluid dynamics. RTI drives some of the most consequential mixing processes in the Universe, from inertial confinement fusion to supernova explosions to ocean mixing. Standard ML models struggle with it, and despite more than a century of work it carries a stubborn, unresolved discrepancy between simulation and experiment: the late-time mixing growth rate coefficient α measured in most laboratory experiments sits near 0.06-0.07, roughly three times the value from idealized direct numerical simulations which give an α between 0.02-0.03. The origin of this gap is still debated. That makes RTI a stringent test for a question that matters well beyond RTI itself: can foundation models finetuned on idealized simulations generalise to sparse, complex, and noisy laboratory data they were never trained on? The sim-experiment gap in α is a sharp quantitative test of whether that generalisation has succeeded. -We finetune **Walrus**, a foundation model pretrained on a broad corpus of continuum dynamics simulations, on just one to three **direct numerical simulation (DNS)** realizations of RTI, with no physics-informed loss. The finetuned model recovers canonical RTI diagnostics over full autoregressive rollouts. Applied zero-shot to initial conditions from real sliding-barrier laboratory experiments, with no experimental training data at any stage, its predicted late-time growth rate rises into the experimentally observed band. The result provides independent, data-driven evidence on a decades-long unresolved debate in the RTI community. +We finetune **Walrus**, a foundation model pretrained on a broad corpus of continuum dynamics simulations, on just one to three **direct numerical simulation (DNS)** realizations of RTI, with no physics-informed loss. The finetuned model recovers canonical RTI diagnostics over full autoregressive rollouts. Applied zero-shot to initial conditions from real sliding-barrier laboratory experiments, with no experimental training data at any stage, its predicted late-time growth rate coefficient rises into the experimentally observed band. The result provides independent, data-driven evidence on a decades-long unresolved debate in the RTI community.

    Overview figure: (A) finetuning Walrus on DNS and evaluating on held-out simulations, (B) zero-shot transfer to sliding-barrier laboratory experiments, (C) zero-shot transfer to stably stratified RTI @@ -28,7 +28,7 @@ We finetune **Walrus**, a foundation model pretrained on a broad corpus of conti ## Why RTI is the right test case
    -Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. In the late-time, approximately self-similar regime, the bulk mixing width follows h(t) ∼ α At g t², where At is the Atwood number, g is the acceleration, and α is the dimensionless growth coefficient that measures how fast the layer grows. This late-time regime is the comparison that matters: idealized DNS usually settles near α ≈ 0.02-0.03, while most laboratory experiments reach α ≈ 0.06-0.07. Because the model is finetuned only on idealized DNS, it has only seen the low-α regime during training. Entering the higher experimental α band from experimental input frames is therefore the nontrivial test. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero shot, then the input initial frames alone have moved it across the sim-to-real divide. That is the central transfer test in the paper. +Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. In the late-time, approximately self-similar regime, the bulk mixing width follows h(t) ∼ α At g t², where At is the Atwood number, g is the acceleration, and α is the dimensionless growth rate coefficient that measures how fast the layer grows. This late-time regime is the comparison that matters: idealized DNS usually settles near α ≈ 0.02-0.03, while most laboratory experiments reach α ≈ 0.06-0.07. Because the model is finetuned only on idealized DNS, it has only seen the low-α regime during training. Entering the higher experimental α band from experimental input frames is therefore the nontrivial test. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero shot, then the input initial frames alone have moved it across the sim-to-real divide. This is the central transfer test in the paper. --- @@ -80,7 +80,7 @@ The sim-experiment gap in α has a leading candidate explanation: initial condit We finetune Walrus on 2D slices from a single DNS realization, then apply it directly to initial conditions from six sliding-barrier laboratory experiments with no experimental training data at any stage.

    - Growth coefficient alpha for DNS validation and zero-shot transfer from DNS-specialized Walrus to laboratory RTI + Growth rate coefficient alpha for DNS validation and zero-shot transfer from DNS-specialized Walrus to laboratory RTI
    Zero-shot transfer from idealized DNS to laboratory RTI. Left: the DNS-specialized Walrus model tracks held-out 2D DNS slices and settles into the low-α DNS regime near α ≈ 0.02. Right: the same model, with the same weights, is initialized from sliding-barrier experimental frames instead. Without any experimental training data, its rollout enters the late-time experimentally observed growth band, showing that the input experimental initial conditions are sufficient to move the model across the simulation-to-laboratory gap.

    From ed4518e6071d89fbd43aef2b9061b064b9b4b9f1 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Mon, 1 Jun 2026 14:51:21 -0400 Subject: [PATCH 14/20] final blog polish --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 3a74ca3..2af2138 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -28,7 +28,7 @@ We finetune **Walrus**, a foundation model pretrained on a broad corpus of conti ## Why RTI is the right test case
    -Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers plunge, bubbles rise, and small perturbations grow into chaotic, multiscale mixing. RTI is hard for machine learning because this chaos does not just make individual trajectories difficult to predict; it exposes a deeper simulation-to-laboratory gap. In the late-time, approximately self-similar regime, the bulk mixing width follows h(t) ∼ α At g t², where At is the Atwood number, g is the acceleration, and α is the dimensionless growth rate coefficient that measures how fast the layer grows. This late-time regime is the comparison that matters: idealized DNS usually settles near α ≈ 0.02-0.03, while most laboratory experiments reach α ≈ 0.06-0.07. Because the model is finetuned only on idealized DNS, it has only seen the low-α regime during training. Entering the higher experimental α band from experimental input frames is therefore the nontrivial test. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero shot, then the input initial frames alone have moved it across the sim-to-real divide. This is the central transfer test in the paper. +Place a heavy fluid above a light one in a gravitational field, and the interface erupts into complexity. Fingers grow, spikes plunge, bubbles rise, and small perturbations at the density interface grow into chaotic, multiscale mixing. Standard machine learning models struggle to model RTI, and this system has a deep simulation-to-laboratory gap. In the late-time, approximately self-similar regime, the bulk mixing width follows h(t) ∼ α At g t², where At is the Atwood number, g is the acceleration, and α is the dimensionless growth rate coefficient that measures how fast the mixing layer grows. This late-time regime is the comparison that matters: idealized DNS usually settles near α ≈ 0.02-0.03, while most laboratory experiments reach α ≈ 0.06-0.07. Because the model is finetuned only on idealized DNS, it has only seen the low-α regime during training. Entering the higher experimental α band from experimental input frames at zero-shot is therefore a nontrivial test of whether the sim-to-real transfer has succeeded. If the same DNS-specialized model gives DNS-like growth from DNS frames but enters the experimental growth band from experimental frames at zero shot, then the input initial frames alone have moved it across the sim-to-real divide. This is one of the central transfer tests of our study. --- From 18152f02f74a975b7e057a90a6617302c1a831a6 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Mon, 1 Jun 2026 14:55:41 -0400 Subject: [PATCH 15/20] final blog polishes --- _posts/2026-5-20-walrus-rti.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 2af2138..4329114 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -3,7 +3,7 @@ layout: post title: "Emergent Transfer of a Physics Foundation Model: From Simulation to Laboratory Turbulence" authors: Payel Mukhopadhyay, Stefan Nixon, Romain Watteaux, Alberto Bietti, Kyunghyun Cho, Cristiana Diaconu, Irina Espejo Morales, David Fouhey, Siavash Golkar, Tom Hehir, Shirley Ho, Jake Kovalic, Géraud Krawezik, François Lanusse, Tanya Marwah, Michael McCabe, Rudy Morel, Mariel Pettee, Helen Qu, Jeff Shen, Hadi Sotoudeh, Stuart Dalziel, Miles Cranmer shorttitle: "A Physics Foundation Model Bridges Simulation and Laboratory Turbulence" -date: 2026-05-21 +date: 2026-06-02 smallimage: walrus-rti/rti-alpha-comparison.png image: walrus-rti/rti-alpha-comparison.png blurb: Can a physics foundation model finetuned only on idealized simulation transfer to real laboratory experiments it was never trained on? We test this on Rayleigh-Taylor instability, where simulation and experiment have disagreed on the mixing growth rate for decades, and show that Walrus crosses the divide zero-shot, entering the experimentally observed growth band and shedding independent light on a longstanding debate. @@ -13,7 +13,7 @@ link: https://arxiv.org/abs/TBD permalink: /blog/walrus-rti/ --- -Foundation models are increasingly being applied to the physical sciences, but whether they can be usefully deployed on real laboratory experiments remains an open question. We test this on **Rayleigh-Taylor instability (RTI)**, one of the most enduring challenges in fluid dynamics. RTI drives some of the most consequential mixing processes in the Universe, from inertial confinement fusion to supernova explosions to ocean mixing. Standard ML models struggle with it, and despite more than a century of work it carries a stubborn, unresolved discrepancy between simulation and experiment: the late-time mixing growth rate coefficient α measured in most laboratory experiments sits near 0.06-0.07, roughly three times the value from idealized direct numerical simulations which give an α between 0.02-0.03. The origin of this gap is still debated. That makes RTI a stringent test for a question that matters well beyond RTI itself: can foundation models finetuned on idealized simulations generalise to sparse, complex, and noisy laboratory data they were never trained on? The sim-experiment gap in α is a sharp quantitative test of whether that generalisation has succeeded. +Foundation models are increasingly being applied to the physical sciences, but whether they can be usefully deployed on real laboratory experiments remains an open question. We test this on **Rayleigh-Taylor instability (RTI)**, one of the most enduring challenges in fluid dynamics. RTI drives some of the most consequential mixing processes in the Universe, from inertial confinement fusion to supernova explosions to ocean mixing. Standard ML models struggle with it, and despite more than a century of theoretical, numerical and experimental work, it carries a stubborn, unresolved discrepancy between simulation and experiment: the late-time mixing growth rate coefficient α measured in most laboratory experiments sits near 0.06-0.07, roughly three times the value from idealized direct numerical simulations which give an α between 0.02-0.03. The origin of this gap is still debated. That makes RTI a stringent test for a question that matters well beyond RTI itself: can foundation models finetuned on idealized simulations generalise to sparse, complex, and noisy laboratory data they were never trained on? The sim-experiment gap in α is a sharp quantitative test of whether that generalisation has succeeded. We finetune **Walrus**, a foundation model pretrained on a broad corpus of continuum dynamics simulations, on just one to three **direct numerical simulation (DNS)** realizations of RTI, with no physics-informed loss. The finetuned model recovers canonical RTI diagnostics over full autoregressive rollouts. Applied zero-shot to initial conditions from real sliding-barrier laboratory experiments, with no experimental training data at any stage, its predicted late-time growth rate coefficient rises into the experimentally observed band. The result provides independent, data-driven evidence on a decades-long unresolved debate in the RTI community. From b828f2d83de9f42687c173888604bbf80c93fcbe Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Mon, 1 Jun 2026 15:01:14 -0400 Subject: [PATCH 16/20] final blog polishes - word tweaks --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 4329114..c643296 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -54,7 +54,7 @@ Walrus is pretrained on a broad corpus of continuum dynamics simulations with RT Kinetic energy spectra in the self-similar regime. Walrus matches the DNS shape and amplitude across the inertial range.

    -On held-out test realizations, the finetuned model recovers the canonical diagnostics simultaneously. Bubble morphology and mixed-layer growth track the DNS through the onset of turbulence. The kinetic energy spectrum matches across the inertial range. The global energy budget is reproduced over the full rollout. Conventional surrogate models typically diverge within a handful of autoregressive steps, so sustaining all three over long rollouts is a genuine test of whether the model has encoded physical structure rather than memorized specific trajectories. +On held-out test realizations, the finetuned model recovers the canonical diagnostics simultaneously. Bubble morphology and mixed-layer growth track the DNS through the onset of turbulence. The kinetic energy spectrum matches across the inertial range. The global energy budget is reproduced over the full rollout. Conventional surrogate models typically diverge within a handful of autoregressive steps, so sustaining all three over long rollouts is a stringent test of whether the model has encoded physical structure rather than memorized specific trajectories. Finetuning on a single DNS realization already gets close; adding a second or third tightens agreement only incrementally. The broad fluid prior means only a few examples are needed to specialize. From b831daef5ad9f2a740b5139ad0690ae077e4b831 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Mon, 1 Jun 2026 15:03:02 -0400 Subject: [PATCH 17/20] final blog polishes - word tweaks --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index c643296..566c765 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -77,7 +77,7 @@ The sim-experiment gap in α has a leading candidate explanation: initial condit Initial concentration fields for a DNS realization (left) and a sliding-barrier experimental sample (right). The DNS interface carries short-wavelength perturbations; the experimental interface carries large-scale structure set by the barrier release. This difference is the leading candidate explanation for the factor-of-three gap in α.

    -We finetune Walrus on 2D slices from a single DNS realization, then apply it directly to initial conditions from six sliding-barrier laboratory experiments with no experimental training data at any stage. +We finetune Walrus on 2D slices from a single DNS realization, then apply it directly to initial conditions from six sliding-barrier laboratory experimental samples with no experimental training data at any stage. This is a highly data-limited zero-shot transfer setup.

    Growth rate coefficient alpha for DNS validation and zero-shot transfer from DNS-specialized Walrus to laboratory RTI From 75695e66bb461e90c20cf2e1a75f04a65f55a117 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Mon, 1 Jun 2026 15:04:11 -0400 Subject: [PATCH 18/20] final blog polishes - word tweaks --- _posts/2026-5-20-walrus-rti.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 566c765..e8d47d4 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -82,7 +82,7 @@ We finetune Walrus on 2D slices from a single DNS realization, then apply it dir

    Growth rate coefficient alpha for DNS validation and zero-shot transfer from DNS-specialized Walrus to laboratory RTI
    - Zero-shot transfer from idealized DNS to laboratory RTI. Left: the DNS-specialized Walrus model tracks held-out 2D DNS slices and settles into the low-α DNS regime near α ≈ 0.02. Right: the same model, with the same weights, is initialized from sliding-barrier experimental frames instead. Without any experimental training data, its rollout enters the late-time experimentally observed growth band, showing that the input experimental initial conditions are sufficient to move the model across the simulation-to-laboratory gap. + Zero-shot transfer from idealized DNS to laboratory RTI. Left: the DNS-specialized Walrus model tracks held-out 2D DNS slices and settles into the low-α DNS regime near α ≈ 0.02. Right: the same model, with the same weights, is initialized from sliding-barrier experimental frames instead. Without any experimental training data, its rollout enters the late-time experimentally observed growth band, showing that the input experimental initial conditions are sufficient to move the model across the simulation-to-laboratory gap in the late-time regime.

    The DNS-specialized model, given experimental initial frames, rises into the experimentally observed self-similar band at late times. We do not expect it to reproduce the early sliding-barrier transient, which is absent from the idealized DNS used for finetuning. The meaningful comparison is the late-time regime where `α` is defined: the same model given DNS frames settles near α ≈ 0.02, while the model given experimental frames enters the higher experimental growth band. The only difference between the two rollouts is the input. From df4dba0a1b584766ab13dece59088e11a0940b01 Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Mon, 1 Jun 2026 15:43:52 -0400 Subject: [PATCH 19/20] final blog polishes - stratified physics description tweak --- _posts/2026-5-20-walrus-rti.md | 16 +++++++++------- 1 file changed, 9 insertions(+), 7 deletions(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index e8d47d4..281f871 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -101,21 +101,23 @@ The shift is robust across different amounts of input context. With just two exp --- -## Zero-shot transfer to new physical regime: stable stratification +## Zero-shot transfer to a new physical regime: stable stratification

    - Horizontally averaged concentration profiles for stratified DNS reference and Walrus zero-shot rollout + Stable stratification confines mixing near the midplane in both the DNS reference and the zero-shot Walrus rollout
    - Mean concentration profiles for the stratified DNS reference (b) and the corresponding zero-shot Walrus rollout (c), finetuned only on unstratified RTI. Stable stratification confines mixing near the midplane; Walrus captures this without ever seeing stratified flows during training. + (a) Initial mean concentration profiles for the unstratified and stratified cases. (b) Mean concentration profiles from the stratified DNS reference. (c) Corresponding zero-shot Walrus rollout after finetuning only on unstratified RTI. (d) Very long zero-shot rollout out to t = 200. Stable stratification confines mixing near the midplane, and Walrus captures that response without ever seeing stratified flow during training.

    -The experimental result crosses the simulation-to-real divide. But sim-to-real transfer alone does not tell us whether the model has learned RTI as a broader buoyancy-driven phenomenon, or only the unstratified dynamics it saw during finetuning. To ask that question, we need to change the physics in a controlled way: keep the problem in the RTI family, but alter how buoyancy acts on the mixing layer. +The laboratory result asks whether the model can cross the sim-to-real divide. The stratified case asks something different. It asks whether the model has learned only the unstratified RTI dynamics it saw during finetuning, or whether it has learned something more general about buoyancy-driven mixing. -We test this by applying the DNS-finetuned model to **stably stratified RTI**, a regime where a stable background density gradient acts as a restoring force, suppressing vertical spreading and confining the mixing layer near the midplane. This regime was entirely absent from finetuning. +To test that, we change the physics while staying within the RTI family. We apply the DNS-finetuned model to **stably stratified RTI**, where a stable background density gradient acts as a restoring force and suppresses vertical spreading of the mixing layer. This regime was completely absent from finetuning. -In unstratified RTI, buoyancy drives the mixing layer to spread indefinitely. In stably stratified RTI, it arrests that spreading. A model that had only pattern-matched unstratified DNS trajectories would keep spreading. Walrus confines the mixing layer, matching the qualitative behavior of the stratified DNS reference over rollouts extending well beyond the training horizon. The discrepancy is one of degree rather than kind: the model predicts slightly stronger spreading at late times, but the physical response to stratification is correct. +That change is enough to separate the two possibilities. In the unstratified case, the mixing layer keeps spreading. In the stratified case, the partially mixed region remains confined near the midplane. A model that had only learned to continue unstratified RTI rollouts would keep opening up the layer. Walrus does not. In zero shot, it moves into the correct qualitative regime: the mean concentration profiles stay confined, in clear agreement with the stratified DNS reference. -The learned representation carries something about how buoyancy governs mixing, not unstratified RTI as a specific flow pattern, but the underlying physics that makes RTI respond differently when the buoyancy balance changes. +Panel (d) pushes the same test much further. The model never saw stratified flow during training, and it never saw times this late during finetuning, yet the rollout continues into the expected decelerating, confined regime rather than drifting back toward unstratified growth. + +The mismatch is in degree, not in kind. At late times Walrus spreads the layer somewhat more than the DNS reference, but it still responds to stratification in the right physical direction. For a model finetuned only on unstratified RTI, that is a strong sign that the learned representation is carrying something more general than one familiar rollout pattern. It has to encode something about how buoyancy governs mixing, and how that mixing changes when the buoyancy balance itself is altered. --- From 3337bc49ea0c461ac0ac3dcee8ccc40c485a2a3f Mon Sep 17 00:00:00 2001 From: Payel Mukhopadhyay Date: Tue, 2 Jun 2026 07:05:24 -0400 Subject: [PATCH 20/20] add paths to released resources to blog --- _posts/2026-5-20-walrus-rti.md | 11 +++++++---- 1 file changed, 7 insertions(+), 4 deletions(-) diff --git a/_posts/2026-5-20-walrus-rti.md b/_posts/2026-5-20-walrus-rti.md index 281f871..40e6add 100644 --- a/_posts/2026-5-20-walrus-rti.md +++ b/_posts/2026-5-20-walrus-rti.md @@ -1,6 +1,6 @@ --- layout: post -title: "Emergent Transfer of a Physics Foundation Model: From Simulation to Laboratory Turbulence" +title: "Emergent Transfer of a Physics Foundation Model from Simulation to Laboratory Turbulence" authors: Payel Mukhopadhyay, Stefan Nixon, Romain Watteaux, Alberto Bietti, Kyunghyun Cho, Cristiana Diaconu, Irina Espejo Morales, David Fouhey, Siavash Golkar, Tom Hehir, Shirley Ho, Jake Kovalic, Géraud Krawezik, François Lanusse, Tanya Marwah, Michael McCabe, Rudy Morel, Mariel Pettee, Helen Qu, Jeff Shen, Hadi Sotoudeh, Stuart Dalziel, Miles Cranmer shorttitle: "A Physics Foundation Model Bridges Simulation and Laboratory Turbulence" date: 2026-06-02 @@ -9,7 +9,7 @@ image: walrus-rti/rti-alpha-comparison.png blurb: Can a physics foundation model finetuned only on idealized simulation transfer to real laboratory experiments it was never trained on? We test this on Rayleigh-Taylor instability, where simulation and experiment have disagreed on the mixing growth rate for decades, and show that Walrus crosses the divide zero-shot, entering the experimentally observed growth band and shedding independent light on a longstanding debate. shortblurb: A physics foundation model finetuned on idealized simulations transfers zero-shot to laboratory turbulence, crossing a decades-old sim-experiment gap in the mixing growth rate. splashimage: /images/blog/walrus-rti/rti-summary.png -link: https://arxiv.org/abs/TBD +link: https://arxiv.org/abs/2606.01470 permalink: /blog/walrus-rti/ --- @@ -134,8 +134,11 @@ The question of how the model achieves this transfer remains open. Until we unde ### Open source resources
    -Materials: -* **Paper:** [Emergent Transfer of a Physics Foundation Model: From Simulation to Laboratory Turbulence](https://arxiv.org/abs/TBD) +Materials:
    +* **Paper:** [Emergent Transfer of a Physics Foundation Model: From Simulation to Laboratory Turbulence](https://arxiv.org/abs/2606.01470)
    +* **Code:** https://github.com/payelmuk150/walrus_rti/
    +* **Data:** https://huggingface.co/datasets/pmukhop/rti-dataset-boussinesq
    +* **Model Checkpoints:** https://huggingface.co/pmukhop/rti-walrus-model
    *-- Payel Mukhopadhyay, Stefan Nixon, Romain Watteaux, Alberto Bietti, Kyunghyun Cho, Cristiana Diaconu, Irina Espejo Morales, David Fouhey, Siavash Golkar, Tom Hehir, Shirley Ho, Jake Kovalic, Géraud Krawezik, François Lanusse, Tanya Marwah, Michael McCabe, Rudy Morel, Mariel Pettee, Helen Qu, Jeff Shen, Hadi Sotoudeh, Stuart Dalziel, Miles Cranmer*

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