A linear low effort stabilization method for the Euler equations using discontinuous Galerkin methods

DOI10.1002/FLD.5243MaRDI QIDQ6574157

Stefan Vater, Michel Bänsch, Jörn Behrens

Publication date: 18 July 2024

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

zbMATH Keywords

stabilizationEuler equationsdiscontinuous Galerkin methodgeneral approach

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields
• Well balanced finite volume methods for nearly hydrostatic flows
• Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
• Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity
• The deal.II library, version 9.2
• A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases
• Strong stability-preserving high-order time discretization methods
• An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases
• Discontinuous Galerkin Method

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