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arXiv · 2105.09506

Physics-informed neural networks (PINNs) for fluid mechanics: A review

Shengze Cai·Zhiping Mao·Zhicheng Wang·Minglang Yin·George Em Karniadakis
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Abstract

Despite the significant progress over the last 50 years in simulating flow problems using numerical discretization of the Navier-Stokes equations (NSE), we still cannot incorporate seamlessly noisy data into existing algorithms, mesh-generation is complex, and we cannot tackle high-dimensional problems governed by parametrized NSE. Moreover, solving inverse flow problems is often prohibitively expensive and requires complex and expensive formulations and new computer codes. Here, we review flow physics-informed learning, integrating seamlessly data and mathematical models, and implementing them using physics-informed neural networks (PINNs). We demonstrate the effectiveness of PINNs for inverse problems related to three-dimensional wake flows, supersonic flows, and biomedical flows.

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Shengze Cai, Zhiping Mao, Zhicheng Wang, Minglang Yin, George Em Karniadakis. 2021-05-20. Physics-informed neural networks (PINNs) for fluid mechanics: A review. https://arxiv.org/abs/2105.09506

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