Deep Surrogate for Direct Time Fluid Dynamics
- URL: http://arxiv.org/abs/2112.10296v1
- Date: Thu, 16 Dec 2021 10:08:20 GMT
- Title: Deep Surrogate for Direct Time Fluid Dynamics
- Authors: Lucas Meyer (UGA, LIG, EDF R&D, Grenoble INP, DATAMOVE ), Louen
Pottier (ENS Paris Saclay, EDF R&D), Alejandro Ribes (EDF R&D), Bruno Raffin
(Grenoble INP, LIG, DATAMOVE, UGA)
- Abstract summary: Graph Neural Networks (GNN) can address the specificity of the irregular meshes commonly used in CFD simulations.
We present our ongoing work to design a novel direct time GNN architecture for irregular meshes.
- Score: 44.62475518267084
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The ubiquity of fluids in the physical world explains the need to accurately
simulate their dynamics for many scientific and engineering applications.
Traditionally, well established but resource intensive CFD solvers provide such
simulations. The recent years have seen a surge of deep learning surrogate
models substituting these solvers to alleviate the simulation process. Some
approaches to build data-driven surrogates mimic the solver iterative process.
They infer the next state of the fluid given its previous one. Others directly
infer the state from time input. Approaches also differ in their management of
the spatial information. Graph Neural Networks (GNN) can address the
specificity of the irregular meshes commonly used in CFD simulations. In this
article, we present our ongoing work to design a novel direct time GNN
architecture for irregular meshes. It consists of a succession of graphs of
increasing size connected by spline convolutions. We test our architecture on
the Von K{\'a}rm{\'a}n's vortex street benchmark. It achieves small
generalization errors while mitigating error accumulation along the trajectory.
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