Title: GenCP: Towards Generative Modeling Paradigm of Coupled physics with Application to Fluid-Structure Interaction
Primary area: applications to physical sciences (physics, chemistry, biology, etc.)
Keywords: Coupled Physics Simulation, Flow Matching, Operator Splitting, FSI

Abstract: Real-world physical systems are inherently complex, often involving the coupling of multiple physics, making their simulation both highly valuable and challenging. Many mainstream approaches face challenges when dealing with decoupled data. Besides, they also suffer from low efficiency and fidelity in strongly coupled spatio-temporal physical systems. Here we propose GenCP, a novel and elegant generative paradigm for coupled multiphysics simulation. By formulating coupled-physics modeling as a probability modeling problem, our key innovation is to integrate probability density evolution in generative modeling with iterative multiphysics coupling, thereby enabling training on decoupled data and inferring coupled physics during sampling. We also utilize operator-splitting theory in the space of probability evolution to establish error controllability guarantees for this "conditional-to-joint" sampling scheme. Then we evaluate our paradigm on a synthetic setting and two challenging fluid-structure interaction scenarios to demonstrate both principled insight and superior application performance of GenCP.

TL;DR: GenCP introduces a generative paradigm for coupled physics simulation that not only offers excellent theoretical guarantee, but also provides concrete guidance for practical implementation.