Stationarity preservation properties of the active flux scheme on Cartesian grids

DOI10.1007/s42967-020-00094-2zbMath1524.35378OpenAlexW3104143153MaRDI QIDQ6098319

Wasilij Barsukow

Publication date: 13 June 2023

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-020-00094-2

zbMATH Keywords

structure preservingactive fluxstationarity preserving

Mathematics Subject Classification ID

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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Cites Work

• On curl-preserving finite volume discretizations for shallow water equations
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics
• A new ADER method inspired by the active flux method
• The active flux scheme on Cartesian grids and its low Mach number limit
• Vorticity-Preserving Lax--Wendroff-Type Schemes for the System Wave Equation
• Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws
• Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system
• Stationarity preserving schemes for multi-dimensional linear systems
• Exact solution and the multidimensional Godunov scheme for the acoustic equations

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