Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension

DOI10.1515/jnma-2017-0010zbMath1407.65108OpenAlexW2791888879MaRDI QIDQ1631404

Radim Hošek, Bangwei She

Publication date: 6 December 2018

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2017-0010

zbMATH Keywords

consistencyfinite difference methodenergy stabilitypositivity preservingcompressible Navier-Stokes

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (9)

On numerical approximations to fluid-structure interactions involving compressible fluids ⋮ On Convergence of Numerical Solutions for the Compressible MHD System with Exactly Divergence-Free Magnetic Field ⋮ Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method ⋮ Improved error estimates for the finite volume and the MAC schemes for the compressible Navier-Stokes system ⋮ Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations ⋮ Numerical analysis of a model of two phase compressible fluid flow ⋮ Convergence of a finite volume scheme for the compressible Navier–Stokes system ⋮ Construction of weak solutions to compressible Navier-Stokes equations with general inflow/outflow boundary conditions via a numerical approximation ⋮ Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier-Stokes system

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