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

DOI10.1134/S0965542522110148OpenAlexW4310689681MaRDI QIDQ2101413

Publication date: 6 December 2022

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

Full work available at URL: https://doi.org/10.1134/s0965542522110148

zbMATH Keywords

linearized Cauchy problem explicit two-level finite difference scheme quasi-hydrodynamic regularization spectral von Neumann condition

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

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Regularized shallow water equations for numerical simulation of flows with a moving shoreline
Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues
Method of adaptive artificial viscosity for solving the Navier-Stokes equations
Analysis of a regularized model for the isothermal two-component mixture with the diffuse interface
On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations
Von Neumann stability analysis of first-order accurate discretization schemes for one-dimensional (1D) and two-dimensional (2D) fluid flow equations
Numerical study of two models for viscous compressible fluid flows
$L^2$-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
A finite volume scheme for the Euler system inspired by the two velocities approach
Conditions for $L^2$-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations
Entropy-viscosity method for the single material Euler equations in Lagrangian frame
Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations
Quasi-Gas Dynamic Equations
On Stability of Staggered Schemes
$L^2$-диссипативность разностных схем для регуляризованных $\mathrm{1D}$ баротропных уравнений движения газа при малых числах Маха
AN ENERGY DISSIPATIVE SPATIAL DISCRETIZATION FOR THE REGULARIZED COMPRESSIBLE NAVIER-STOKES-CAHN-HILLIARD SYSTEM OF EQUATIONS
Kinetic schemes and quasi-gas-dynamic system of equations
Stability analysis of segregated solution methods for compressible flow

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