Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations

DOI10.1051/m2an/2017055zbMath1405.35149OpenAlexW2741229501MaRDI QIDQ4561147

Trung Tan Nguyen, Raphaèle Herbin, Jean-Claude Latché

Publication date: 10 December 2018

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2017055

zbMATH Keywords

Euler equationsanalysisshallow waterstaggered gridfinite volumescompressible flowsisentropic barotropic

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Euler equations (35Q31)

Related Items

A MUSCL-type segregated -- explicit staggered scheme for the Euler equations, Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes, A finite volume flux coordinate independent approach, A semi-implicit finite volume scheme for dissipative measure-valued solutions to the barotropic Euler system, Study of a Numerical Scheme with Transport-Acoustic Operator Splitting on a Staggered Mesh, A combination of residual distribution and the active flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations, A Second Order Consistent MAC Scheme for the Shallow Water Equations on Non Uniform Grids, MUSCL Discretization for the Fluid Flow Convection Operator on Staggered Meshes, A Second Order Numerical Scheme for Large-Eddy Simulation of Compressible Flows, Consistent internal energy based schemes for the compressible Euler equations, Low Mach number limit of some staggered schemes for compressible barotropic flows, Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations

Uses Software

• AUSM
• HE-E1GODF
• CALIF3S

Cites Work

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