Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks

Journal of Computational Physics(2020)

引用 48|浏览5
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摘要
•Designed an MLP network to estimate artificial viscosity in Discontinuous Galerkin schemes.•The proposed technique is free of problem-dependent parameters.•Tested with scalar conservation laws and the compressible Euler equations.•It guarantees optimal convergence rates for smooth problems and accurately detects discontinuities.•Comparison with some traditional artificial viscosity models.
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关键词
Conservation laws,Discontinuous Galerkin,Artificial viscosity,Artificial neural networks
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