Boundary treatments for implicit solutions to Euler and Navier-Stokes equations

DOI10.1016/0021-9991(82)90052-3zbMath0532.76022OpenAlexW2155048546MaRDI QIDQ789269

W. T. jun. Thompkins, R. H. Bush

Publication date: 1982

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90052-3

zbMATH Keywords

arbitrary initial conditionsdisparity in stability bounds between explicit or implicit extrapolation procedurestime stepstwo-dimensional Euler and Navier-Stokes simulations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99) Incompressible inviscid fluids (76Bxx)

Related Items

Calculation of external-internal flow fields for mixed-compression inlets, Improving the convergence rate to steady state of parabolic ADI methods, Preconditioning techniques for the Newton-Krylov solution of compressible flows, Stability of two-dimensional hyperbolic initial boundary value problems for explicit and implicit schemes, Development and Study of Newton-Krylov-Schwarz Algorithms, Implicit boundary equations for conservative Navier-Stokes equations, An optimum time step length for convergence to steady-state solution in compressible-flow calculations

Cites Work

• Stability of two-dimensional hyperbolic initial boundary value problems for explicit and implicit schemes
• Three-dimensional supersonic flow of a viscous or inviscid gas
• A Numerical Method for Solving the Equations of Compressible Viscous Flow
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
• Systems of Difference Equations with General Homogeneous Boundary Conditions
• Stability of Difference Approximations of Dissipative Type for Mixed Initial-Boundary Value Problems.
• Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I