High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

DOI10.4208/cicp.OA-2021-0126zbMath1482.65191OpenAlexW4214831152MaRDI QIDQ5065193

Yinhua Xia, Yulong Xing, Yan Xu, Weijie Zhang

Publication date: 18 March 2022

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2021-0126

zbMATH Keywords

Euler equationsdiscontinuous Galerkin methodsgravitational fieldtriangular meshpositivity-preservingwell-balanced

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields ⋮ On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation ⋮ High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field ⋮ A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

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