A difference scheme with well-controlled dissipation for solving the Kapila model equations
type: Item
instance of: scholarly article
title: A difference scheme with well-controlled dissipation for solving the Kapila model equations
author: R. R. Polekhina
author: E. B. Savenkov
published in: Differential Equations
publication date: 2024-11-20T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76T17
zbMATH DE Number: 7946578
zbMATH Keywords: two-phase compressible flow
zbMATH Keywords: first-order nonconservative hyperbolic system
zbMATH Keywords: regularizing dissipative operator
zbMATH Keywords: discontinuous solution
zbMATH Keywords: Rankine-Hugoniot condition
zbMATH Keywords: traveling wave solution
MaRDI profile type: Publication
cites work: Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
cites work: Definition and weak stability of nonconservative products
cites work: Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models
cites work: Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
cites work: Numerical model of multiphase flows based on sub-cell resolution of fluid interfaces
cites work: In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems -- second-order extension
cites work: The modified equation approach to the stability and accuracy analysis of finite-difference methods
cites work: Q4749136
cites work: Q3766760
cites work: Schemes with Well-Controlled Dissipation. Hyperbolic Systems in Nonconservative Form
cites work: Some problems in the theory of quasilinear equations
cites work: Stable viscosity matrices for systems of conservation laws
cites work: On the numerical solution of nonconservative hyperbolic systems of equations
cites work: The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
cites work: A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
DOI: 10.1134/S0012266124070085
description: scientific article; zbMATH DE number 7946578