Upwind relaxation algorithms for the Navier-Stokes equations

DOI10.2514/3.9659zbMath0616.76086OpenAlexW2065090661MaRDI QIDQ4725973

Robert W. Walters, James L. Thomas

Publication date: 1987

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.9659

zbMATH Keywords

convectionflat platecompressible Navier-Stokes equationssteady-state solutionsdiffusion equationssecond-order accuratesecond-order central differencingheat flux termsline Gauss-Seidel relaxation approachshock- induced separationthird-order flux splittingupwind relaxation algorithms

Mathematics Subject Classification ID

Related Items (16)

Discrete aerodynamic sensitivity analysis on decomposed computational domains ⋮ On the solution of the compressible Navier--Stokes equations using improved flux vector splitting methods ⋮ Solution-limited time stepping to enhance reliability in CFD applications ⋮ A novel implicit difference algorithm of primitive variable flow equations with higher-order extra terms ⋮ Flux-split algorithms for flows with non-equilibrium chemistry and vibrational relaxation ⋮ Accuracy assessment of upwind algorithms for steady-state computations ⋮ Implicit and multigrid procedures for steady-state computations with upwind algorithms ⋮ Upwind relaxation methods for the Navier-Stokes equations using inner iterations ⋮ An improved upwind finite volume relaxation method for high speed viscous flows ⋮ Efficient solution of two-dimensional steady separated flows ⋮ A practical approach to algebraic grid adaption ⋮ An overview and generalization of implicit Navier-Stokes algorithms and approximate factoriza\-tion. ⋮ Stability and convergence analysis of implicit upwind schemes ⋮ Large stencil viscous flux linearization for the simulation of 3D compressible turbulent flows with backward-Euler schemes ⋮ Numerical solutions of compressible two-phase moist-air flow with shocks ⋮ Hydrodynamic modeling of short-channel devices using an upwind flux vector splitting scheme.

This page was built for publication: Upwind relaxation algorithms for the Navier-Stokes equations