Accelerating Eulerian Fluid Simulation With Convolutional Networks

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Jonathan Tompson, Kristofer Schlachter, Pablo Sprechmann, Ken Perlin ;
Proceedings of the 34th International Conference on Machine Learning, PMLR 70:3424-3433, 2017.

Abstract

Efficient simulation of the Navier-Stokes equations for fluid flow is a long standing problem in applied mathematics, for which state-of-the-art methods require large compute resources. In this work, we propose a data-driven approach that leverages the approximation power of deep-learning with the precision of standard solvers to obtain fast and highly realistic simulations. Our method solves the incompressible Euler equations using the standard operator splitting method, in which a large sparse linear system with many free parameters must be solved. We use a Convolutional Network with a highly tailored architecture, trained using a novel unsupervised learning framework to solve the linear system. We present real-time 2D and 3D simulations that outperform recently proposed data-driven methods; the obtained results are realistic and show good generalization properties.

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