Weak local residuals as smoothness indicators for the shallow water equations

DOI10.1016/J.AML.2013.12.007zbMath1311.35228OpenAlexW1993641051MaRDI QIDQ2345342

Stephen G. Roberts, Sudi Mungkasi, Zhenquan Li

Publication date: 19 May 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.12.007

zbMATH Keywords

conservation lawsfinite volume methodshallow water equationssmoothness indicatorshock detectorweak local residual

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Application of 2D Adaptive Mesh Refinement Method to Estimation of the Center of Vortices for Flow over a Wall-Mounted Plate ⋮ Adaptive semi-discrete formulation of BSQI-WENO scheme for the modified Burgers' equation

Cites Work

• A smoothness indicator for adaptive algorithms for hyperbolic systems
• Local error analysis for approximate solutions of hyperbolic conservation laws
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