Positivity-preserving well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations

DOI10.1007/s10915-021-01578-wzbMath1500.65078OpenAlexW3197442426MaRDI QIDQ2051066

Yan Xu, Weijie Zhang, Yinhua Xia

Publication date: 1 September 2021

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

Full work available at URL: https://doi.org/10.1007/s10915-021-01578-w

zbMATH Keywords

shallow water equationswell-balanced schemepositivity preservationgeometric conservation lawarbitrary Lagrangian-Eulerian discontinuous Galerkin methodstill and moving water equilibria

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (8)

A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes ⋮ Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields ⋮ High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields ⋮ Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations ⋮ Hybridizable discontinuous Galerkin reduced order model for the variable coefficient advection equation ⋮ Moving water equilibria preserving discontinuous Galerkin method for the shallow water equations ⋮ Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations ⋮ Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations

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