WENO3-NN: A maximum-order three-point data-driven weighted essentially non-oscillatory scheme

Deniz A. Bezgin,Steffen J. Schmidt,Nikolaus A. Adams

Journal of Computational Physics（2022）

引用 3|浏览2

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摘要

•A low-dissipation data-driven third-order WENO scheme (WENO3-NN) is proposed.•Additional loss on the reconstruction weights yields maximum-order convergence.•The network smoothness measure facilitates interpretation and generalization.•Very good performance on canonical test cases, including strong shock interactions.•Error magnitudes and wavenumber resolution comparable to or better than WENO5-JS.

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关键词

WENO,WENO-JS,WENO-Z,Neural network,Machine learning,Euler equations

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