Enhanced robustness of the hybrid compact-WENO finite difference scheme for hyperbolic conservation laws with multi-resolution analysis and Tukey's boxplot method

DOI10.1007/s10915-017-0465-0zbMath1381.65065OpenAlexW2617066709MaRDI QIDQ1691393

Xiao Wen, Zhen Gao, Wai-Sun Don

Publication date: 16 January 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0465-0

zbMATH Keywords

numerical examplefinite difference schemeshallow water equationsEuler equationshyperbolic conservation lawshybridmulti-resolutioncompact WENO-Zoutlier-detectionshock detection algorithmTukey's boxplot

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (12)

Construction of discontinuity detectors using convolutional neural networks ⋮ Hybrid Compact-WENO Finite Difference Scheme with Radial Basis Function Based Shock Detection Method for Hyperbolic Conservation Laws ⋮ An essential seventh-order weighted compact adaptive scheme for hyperbolic conservation laws ⋮ Seventh and ninth orders characteristic-wise alternative WENO finite difference schemes for hyperbolic conservation laws ⋮ Troubled-cell indication using K-means clustering with unified parameters ⋮ An edge detector based on artificial neural network with application to hybrid compact-WENO finite difference scheme ⋮ An artificial neural network as a troubled-cell indicator ⋮ Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme ⋮ High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws ⋮ A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods ⋮ A New Troubled-Cell Indicator for Discontinuous Galerkin Methods Using K-Means Clustering ⋮ Three Indication Variables and Their Performance for the Troubled-Cell Indicator using K-Means Clustering

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