Inverse Design for Fluid-Structure Interactions using Graph Network Simulators
Kelsey R. Allen, Tatiana Lopez-Guevara, Kimberly L. Stachenfeld, Alvaro Sanchez-Gonzalez, Peter W. Battaglia, Jessica B. Hamrick, Tobias Pfaff
Abstract
Designing physical artifacts that serve a purpose—such as tools and other functional structures—is central to engineering as well as everyday human behavior. Though automating design using machine learning has tremendous promise, existing methods are often limited by the task-dependent distributions they were exposed to during training. Here we showcase a task-agnostic approach to inverse design, by combining general-purpose graph network simulators with gradient-based design optimization. This constitutes a simple, fast, and reusable approach that solves high-dimensional problems with complex physical dynamics, including designing surfaces and tools to manipulate fluid flows and optimizing the shape of an airfoil to minimize drag. This framework produces high-quality designs by propagating gradients through trajectories of hundreds of steps, even when using models that were pre-trained for single-step predictions on data substantially different from the design tasks. In our fluid manipulation tasks, the resulting designs outperformed those found by sampling-based optimization techniques. In airfoil design, they matched the quality of those obtained with a specialized solver. Our results suggest that despite some remaining challenges, machine learning-based simulators are maturing to the point where they can support general-purpose design optimization across a variety of fluid-structure interaction domains.
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Cited by top-tier papers9
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Builds on8
- Learning to Simulate Complex Physics with Graph NetworksAlvaro Sanchez-Gonzalez, Jonathan Godwin, Tobias Pfaff, Rex Ying et al.ICML 2020 · 1,439 citations
- Learning Mesh-Based Simulation with Graph NetworksTobias Pfaff, Meire Fortunato, Alvaro Sanchez-Gonzalez, Peter W. BattagliaICLR 2021 · 1,175 citations
- Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow PredictionFilipe de Avila Belbute-Peres, Thomas D. Economon, J. Zico KolterICML 2020 · 271 citations
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