On conditions for \(L^2\)-dissipativity of linearized explicit QGD finite-difference schemes for one-dimensional gas dynamics equations

DOI10.1134/S1064562418060200zbMath1408.76396OpenAlexW2899570342MaRDI QIDQ1709855

T. A. Lomonosov, Alexander Zlotnik

Publication date: 15 January 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562418060200

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15)

Related Items (10)

\(L^2\)-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations ⋮ \(L^2\)-dissipativity criteria for linearized explicit finite difference schemes for regularization of one-dimensional gas dynamics equations ⋮ Regularized equations for dynamics of the heterogeneous binary mixtures of the Noble-Abel stiffened-gases and their application ⋮ On Enlarged Sufficient Conditions for $$L^2$$-Dissipativity of Linearized Explicit Schemes with Regularization for 1D Gas Dynamics Systems of 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 ⋮ On \(L^2\)-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations ⋮ VERIFICATION OF AN ENTROPY DISSIPATIVE QGD-SCHEME ⋮ Conditions for \(L^2\)-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations ⋮ Conditions for \(L^2\)-dissipativity of an explicit symmetric finite-difference scheme for linearized 2D and 3D gas dynamics equations with a regularization ⋮ AN ENERGY DISSIPATIVE SPATIAL DISCRETIZATION FOR THE REGULARIZED COMPRESSIBLE NAVIER-STOKES-CAHN-HILLIARD SYSTEM OF EQUATIONS

Uses Software

• QHDFoam

Cites Work

• Quasi-gasdynamic system of equations with general equations of state
• On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations
• Spatial discretization of the one-dimensional quasi-gasdynamic system of equations and the entropy balance equation
• Quasi-Gas Dynamic Equations
• QHDFoam
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