An unfactored implicit scheme with multigrid acceleration for the solution of the Navier-Stokes equations

DOI10.1016/0045-7930(87)90013-2zbMath0622.76073OpenAlexW2023991998MaRDI QIDQ1091206

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0045-7930(87)90013-2

zbMATH Keywords

convergencesteady state solutioncompressible fluidhigh resolution schemeimplicit difference schemeiterative inversionartificial dissipation termsdiagonal dominant solution matrixflux-vector splittingindirect multigrid conceptmulti-dimensional Navier-Stokes equationssupersonic steady- state flowstime step restrictionupwind-biased differences

Mathematics Subject Classification ID

Transonic flows (76H05) General aerodynamics and subsonic flows (76G25) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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A multigrid scheme for the implicit solution of the compressible flow equations, Fluid mechanics research at the Institute of Aerodynamics, RWTH Aachen University: from 1912 through 2012, Implicit and multigrid procedures for steady-state computations with upwind algorithms, Implicit solutions of three-dimensional viscous hypersonic flows, The engineering of multiblock/multigrid software for Navier--Stokes flows on structured meshes, Multigrid technique applied to the compressible Euler equations, Second-order formulation of a multigrid method for steady Euler equations through defect-correction

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