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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Vydané v:Computers & fluids Ročník 30; číslo 7; s. 853 - 874
Hlavní autori: Thomas, James L., Diskin, Boris, Brandt, Achi
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Ltd 01.09.2001
Predmet:
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
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Abstract 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.
AbstractList 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.
Author Diskin, Boris
Thomas, James L.
Brandt, Achi
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10.1016/0021-9991(92)90049-5
10.2514/6.1978-10
10.2514/6.1999-3334
10.2514/3.60901
10.1007/BFb0069930
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Issue 7
Keywords Distributive relaxation
Textbook multigrid efficiency
Incompressible Navier–Stokes equations
Defect-correction iteration
Language English
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SubjectTerms Defect-correction iteration
Distributive relaxation
Incompressible Navier–Stokes equations
Textbook multigrid efficiency
Title Textbook multigrid efficiency for the incompressible Navier–Stokes equations: high Reynolds number wakes and boundary layers
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