Iterative methods for stationary solutions to the steady-state compressible Navier-Stokes equations

DOI10.1016/0045-7930(92)90010-SzbMath0763.76054OpenAlexW2085039597MaRDI QIDQ1206467

Bjorn Sjogreen

Publication date: 1 April 1993

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(92)90010-s

zbMATH Keywords

convergenceNewton's methoddouble ellipseOsher's scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20)

Cites Work

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• Newton's method applied to finite-difference approximations for the steady-state compressible Navier-Stokes equations
• On Godunov-type methods near low densities
• High resolution schemes for hyperbolic conservation laws
• Implicit total variation diminishing (TVD) schemes for steady-state calculations
• Defect correction and multigrid for an efficient and accurate computation of airfoil flows
• A new multigrid approach to convection problems
• Numerical Experiments with the Osher Upwind Scheme for the Euler Equations
• A Note on the Use of Symmetric Line Gauss–Seidel for the Steady Upwind Differenced Euler Equations
• Upwind discretization of the steady Navier-Stokes equations
• Convergence of Generalized MUSCL Schemes
• Multigrid Solution of Monotone Second-Order Discretizations of Hyperbolic Conservation Laws

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