$L^2$-диссипативность разностных схем для регуляризованных $\mathrm{1D}$ баротропных уравнений движения газа при малых числах Маха

DOI10.20948/mm-2021-05-02zbMath1468.76047OpenAlexW3157331861MaRDI QIDQ4994739

T. A. Lomonosov, Alexander Zlotnik

Publication date: 22 June 2021

Published in: Математическое моделирование (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mm4284

zbMATH Keywords

Cauchy problemstability criterionstaggered meshNavier-Stokes-Cahn-Hilliard equationsnon-staggered meshdissipative explicit finite difference scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

On \(L^2\)-dissipativity of a linearized scheme on staggered meshes with a regularization for 1D barotropic gas dynamics equations

Uses Software

• QHDFoam

Cites Work

• Unnamed Item
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• On \(L^2\)-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations
• Conditions for \(L^2\)-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations
• Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations
• 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
• AN ENERGY DISSIPATIVE SPATIAL DISCRETIZATION FOR THE REGULARIZED COMPRESSIBLE NAVIER-STOKES-CAHN-HILLIARD SYSTEM OF EQUATIONS

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