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Learning to Simulate Complex Physics with Graph Networks

Learning to Simulate Complex Physics with Graph NetworksAlvaro Sanchez-Gonzalez* 1 Jonathan Godwin* 1 Tobias Pfaff* 1 Rex Ying* 1 2 Jure Leskovec2 Peter W. Battaglia1 AbstractHere we present a machine Learning frameworkand model implementation that can learn tosimulate a wide variety of challenging physi-cal domains, involving fluids, rigid solids, anddeformable materials interacting with one an-other. Our framework which we term GraphNetwork-based Simulators (GNS) representsthe state of a physical system with particles, ex-pressed as nodes in a Graph , and computes dy-namics via learned message-passing.

computed on the basis of particles’ interactions within their local neighborhoods. One popular particle-based method for simulating fluids is “smoothed particle hydrodynamics” (SPH) (Monaghan,1992), which evaluates pressure and vis-cosity forces around each particle, and updates particles’ velocities and positions accordingly.

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