On \(L^2\)-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations

DOI10.1134/S1064562420030229OpenAlexW3084584711MaRDI QIDQ2243742

T. A. Lomonosov, Alexander Zlotnik

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562420030229

zbMATH Keywords

stabilityquasi-gasdynamic system of equationsexplicit two-level finite-difference schemebarotropic gas dynamics equations

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (6)

\(L^2\)-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations ⋮ An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations ⋮ A regularized isothermal phase-field model of two-phase solid-fluid mixture and its spatial dissipative discretization 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 ⋮ $L^2$-диссипативность разностных схем для регуляризованных $\mathrm{1D}$ баротропных уравнений движения газа при малых числах Маха

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
• On \(L^2\)-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations
• Conditions for \(L^2\)-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations
• On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force
• 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
• Unnamed Item
• Unnamed Item

This page was built for publication: On \(L^2\)-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations