Conditions for \(L^2\)-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations

DOI10.1134/S0965542519030151zbMath1461.76354OpenAlexW2932368505MaRDI QIDQ2314224

T. A. Lomonosov, Alexander Zlotnik

Publication date: 19 July 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519030151

zbMATH Keywords

numerical stabilityexplicit two-level schemelinearized Lax-Wendroff schemequasi-gasdynamic equation system

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15)

Related Items (11)

\(L^2\)-dissipativity criteria for linearized explicit finite difference schemes for regularization of one-dimensional gas dynamics equations ⋮ An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations ⋮ On Enlarged Sufficient Conditions for $$L^2$$-Dissipativity of Linearized Explicit Schemes with Regularization for 1D Gas Dynamics Systems of Equations ⋮ A regularized isothermal phase-field model of two-phase solid-fluid mixture and its spatial dissipative discretization equations ⋮ On \(L^2\)-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations ⋮ Dissipative spatial discretization of a phase field model of multiphase multicomponent isothermal fluid flow ⋮ On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions ⋮ VERIFICATION OF AN ENTROPY DISSIPATIVE QGD-SCHEME ⋮ $L^2$-диссипативность разностных схем для регуляризованных $\mathrm{1D}$ баротропных уравнений движения газа при малых числах Маха ⋮ On \(L^2\)-dissipativity of a linearized scheme on staggered meshes with a regularization for 1D barotropic gas dynamics equations ⋮ AN ENERGY DISSIPATIVE SPATIAL DISCRETIZATION FOR THE REGULARIZED COMPRESSIBLE NAVIER-STOKES-CAHN-HILLIARD SYSTEM OF EQUATIONS

Uses Software

• QHDFoam

Cites Work

• Analysis of a regularized model for the isothermal two-component mixture with the diffuse interface
• On conditions for \(L^2\)-dissipativity of linearized explicit QGD finite-difference schemes for one-dimensional gas dynamics equations
• On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations
• Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations
• On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force
• On a Conservative Finite-Difference Method for 1D Shallow Water Flows Based on Regularized Equations
• Energy equalities and estimates for barotropic quasi-gasdynamic and quasi-hydrodynamic systems of equations
• Regularized shallow water equations and an efficient method for numerical simulation of shallow water flows
• 10.1007/s11470-008-3008-9
• Quasi-Gas Dynamic Equations
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