Convergent finite differences for 1D viscous isentropic flow in Eulerian coordinates

DOI10.3934/dcdss.2014.7.993zbMath1304.35494arXiv1303.2902OpenAlexW2964040716MaRDI QIDQ478885

Trygve K. Karper

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2902

zbMATH Keywords

convergenceweak convergencefinite elementscompactnessfinite volumecompensated compactnessideal gasdiscontinuous Galerkincompressible Navier-Stokesupwindisentropic

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension ⋮ On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks ⋮ Mathematical justification of a compressible bi-fluid system with different pressure laws: a semi-discrete approach and numerical illustrations ⋮ A Robust Conservative Mixed Finite Element Method for Isentropic Compressible Flow on Pipe Networks

Cites Work

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• A convergent FEM-DG method for the compressible Navier-Stokes equations
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• A convergent mixed method for the Stokes approximation of viscous compressible flow
• A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow
• Convergence of a mixed method for a semi-stationary compressible Stokes system
• Convergence of the MAC Scheme for the Compressible Stokes Equations
• A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case
• One-Dimensional Compressible Flow with Temperature Dependent Transport Coefficients
• A Finite-Difference Scheme for the Navier–Stokes Equations of One-Dimensional, Isentropic, Compressible Flow
• An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model
• A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case
• Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data
• A Convergent Finite-Difference Scheme for the Navier–Stokes Equations of One-Dimensional, Nonisentropic, Compressible Flow
• Global solutions of the compressible navier-stokes equations with larger discontinuous initial data

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