Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity

DOI10.1051/m2an/2021016OpenAlexW3154201290MaRDI QIDQ5154015

Stéphane Dellacherie, Jonathan Jung, Pascal Omnes

Publication date: 1 October 2021

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

Full work available at URL: https://doi.org/10.1051/m2an/2021016

zbMATH Keywords

finite volume schemesEuler equationsnumerical diffusionporositylow Mach limit

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (3)

Steady low Mach number flows: identification of the spurious mode and filtering method ⋮ Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes ⋮ On the Convergence of the Godunov Scheme with a Centered Discretization of the Pressure Gradient

Uses Software

• Gmsh

Cites Work

• Unnamed Item
• Unnamed Item
• A Godunov-type scheme for the isentropic model of a fluid flow in a nozzle with variable cross-section
• Development of Roe-type scheme for all-speed flows based on preconditioning method
• On the behavior of upwind schemes in the low Mach number limit. IV: P0 approximation on triangular and tetrahedral cells
• A Roe-type scheme with low Mach number preconditioning for a two-phase compressible flow model with pressure relaxation
• A low-Mach number fix for Roe's approximate Riemann solver
• Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number
• Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump
• An all-speed Roe-type scheme and its asymptotic analysis of low Mach number behaviour
• The influence of cell geometry on the Godunov scheme applied to the linear wave equation
• The influence of cell geometry on the accuracy of upwind schemes in the low Mach number regime
• First- and second-order finite volume methods for the one-dimensional nonconservative Euler system
• Introduction to modeling of transport phenomena in porous media
• A projection method for low speed flows
• Fast singular limits of hyperbolic PDEs
• A sequel to a rough Godunov scheme: Application to real gases
• A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics
• Low Mach number preconditioning techniques for roe-type and HLLC-type methods for a two-phase compressible flow model
• Some approximate Godunov schemes to compute shallow-water equations with topography.
• Definition and weak stability of nonconservative products
• On the behaviour of upwind schemes in the low Mach number limit
• An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
• A low Mach correction able to deal with low Mach acoustics
• The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
• On the dissipation mechanism of upwind-schemes in the low Mach number regime: a comparison between Roe and HLL
• Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number
• Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system
• A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Direct Discretization of Planar Div-Curl Problems
• Analysis and Convergence of the MAC Scheme. I. The Linear Problem
• A Mach-sensitive splitting approach for Euler-like systems
• A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms
• A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations
• An All-Regime Lagrange-Projection Like Scheme for the Gas Dynamics Equations on Unstructured Meshes
• Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section
• Numerical scheme to complete a compressible gas flow in variable porosity media

This page was built for publication: Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity