A novel fully implicit finite volume method applied to the lid-driven cavity problem-Part I: High Reynolds number flow calculations

A novel implicit cell‐vertex finite volume method is described for the solution of the Navier–Stokes equations at high Reynolds numbers. The key idea is the elimination of the pressure term from the momentum equation by multiplying the momentum equation with the unit normal vector to a control volum...

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Bibliographic Details
Published in:International journal for numerical methods in fluids Vol. 42; no. 1; pp. 57 - 77
Main Authors: Sahin, Mehmet, Owens, Robert G.
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 10.05.2003
Wiley
Subjects:
Computational methods in fluid dynamics
direct solver
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
high Reynolds numbers
implicit finite volume methods
Laminar flows
Laminar flows in cavities
lid-driven cavity flow
Physics
Large Reynolds number
Streamlines
Computational fluid dynamics
Digital simulation
Vorticity
Velocity distribution
Unsteady flow
Incompressible fluid
Cavity flow
Mesh generation
Finite volume methods
Moving wall
ISSN:0271-2091, 1097-0363
Online Access:Get full text
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Summary:A novel implicit cell‐vertex finite volume method is described for the solution of the Navier–Stokes equations at high Reynolds numbers. The key idea is the elimination of the pressure term from the momentum equation by multiplying the momentum equation with the unit normal vector to a control volume boundary and integrating thereafter around this boundary. The resulting equations are expressed solely in terms of the velocity components. Thus any difficulties with pressure or vorticity boundary conditions are circumvented and the number of primary variables that need to be determined equals the number of space dimensions. The method is applied to both the steady and unsteady two‐dimensional lid‐driven cavity problem at Reynolds numbers up to 10000. Results are compared with those in the literature and show excellent agreement. Copyright © 2003 John Wiley & Sons, Ltd.
Bibliography:Swiss National Science Foundation - No. 21-61865.00
ark:/67375/WNG-8XR9ZB2C-D
istex:9C59792226314A971C081F16F8D60C8A68C0F794
ArticleID:FLD442
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.442