A Finite-Difference Scheme for the Navier–Stokes Equations of One-Dimensional, Isentropic, Compressible Flow

DOI10.1137/0728004zbMath0727.76094OpenAlexW2092074507MaRDI QIDQ3351067

Roger E. Zarnowski, David Hoff

Publication date: 1991

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0728004

zbMATH Keywords

Navier-Stokes equationsa priori estimatesdiscontinuous solutionsfinite difference approximationtruncation errorstability resultcorrect entropy productionerror bound analysisone-dimensional isentropic compressible flow

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

Continuous dependence in \(L^ 2\) for discontinuous solutions of the viscous \(p\)-system ⋮ Convergence and error-bound analysis for mixed problems in compressible flow ⋮ A convergent FEM-DG method for the compressible Navier-Stokes equations ⋮ On C^j-closeness between the solution flow and its numerical approximation ⋮ Convergent finite differences for 1D viscous isentropic flow in Eulerian coordinates ⋮ Convergence of a mixed method for a semi-stationary compressible Stokes system ⋮ Existence, uniqueness, and computation of solutions for mixed problems in compressible fluid flow ⋮ A convergent finite element method for the compressible magnetohydrodynamics system ⋮ A Robust Conservative Mixed Finite Element Method for Isentropic Compressible Flow on Pipe Networks

This page was built for publication: A Finite-Difference Scheme for the Navier–Stokes Equations of One-Dimensional, Isentropic, Compressible Flow