Textbook multigrid efficiency for the incompressible Navier–Stokes equations: high Reynolds number wakes and boundary layers

Textbook multigrid efficiencies for high Reynolds number simulations based on the incompressible Navier–Stokes equations are attained for a model problem of flow past a finite flat plate. Elements of the full approximation scheme multigrid algorithm, including distributed relaxation, defect correcti...

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Bibliographic Details
Published in:	Computers & fluids Vol. 30; no. 7; pp. 853 - 874
Main Authors:	Thomas, James L., Diskin, Boris, Brandt, Achi
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.09.2001
Subjects:	Defect-correction iteration Distributive relaxation Incompressible Navier–Stokes equations Textbook multigrid efficiency Distributive relaxation Textbook multigrid efficiency Incompressible Navier–Stokes equations Defect-correction iteration
ISSN:	0045-7930, 1879-0747
Online Access:	Get full text
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Summary:	Textbook multigrid efficiencies for high Reynolds number simulations based on the incompressible Navier–Stokes equations are attained for a model problem of flow past a finite flat plate. Elements of the full approximation scheme multigrid algorithm, including distributed relaxation, defect correction, and boundary treatment, are presented for the three main physical aspects encountered: entering flow, wake flow, and boundary layer flow. Textbook efficiencies, i.e., reduction of algebraic errors below discretization errors in one full multigrid cycle, are attained for second order accurate simulations at a laminar Reynolds number of 10,000.
ISSN:	0045-7930 1879-0747
DOI:	10.1016/S0045-7930(01)00032-9