Accurately Solving Rod Dynamics with Graph Learning

Han Shao, Tassilo Kugelstadt, Torsten Hädrich, Wojciech Palubicki, Jan Bender, Sören Pirk, Dominik L. Michels
Advances in Neural Information Processing Systems (NeurIPS 2021)

Iterative solvers are widely used to accurately simulate physical systems. These solvers require initial guesses to generate a sequence of improving approximate solutions. In this contribution, we introduce a novel method to accelerate iterative solvers for rod dynamics with graph networks (GNs) by predicting the initial guesses to reduce the number of iterations. Unlike existing methods that aim to learn physical systems in an end-to-end manner, our approach guarantees long-term stability and therefore leads to more accurate solutions. Furthermore, our method improves the run time performance of traditional iterative solvers for rod dynamics. To explore our method we make use of position-based dynamics (PBD) as a common solver for physical systems and evaluate it by simulating the dynamics of elastic rods. Our approach is able to generalize across different initial conditions, discretizations, and realistic material properties. We demonstrate that it also performs well when taking discontinuous effects into account such as collisions between individual rods. Finally, to illustrate the scalability of our approach, we simulate complex 3D tree models composed of over a thousand individual branch segments swaying in wind fields.

» Show BibTeX

title={Accurately Solving Rod Dynamics with Graph Learning},
author={Han Shao and Tassilo Kugelstadt and Torsten H\"{a}drich and Wojciech Pa\l{}ubicki and Jan Bender and S\"{o}ren Pirk and Dominik L. Michels},
booktitle={Advances in Neural Information Processing Systems (NeurIPS)},

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