The vector and scalar potential method for the numerical solution of two- and three-dimensional Navier-Stokes equations

A method is presented for the numerical finite-difference solution of the equations of motion for laminar, incompressible steady-state flow in both two and three dimensions. The complete Navier-Stokes equations are transformed and expressed in terms of vorticity, scalar, and vector potentials. The t...

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Bibliographic Details
Published inJournal of computational physics Vol. 24; no. 4; pp. 398 - 415
Main Authors Aregbesola, Y.A.S., Burley, D.M.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.08.1977
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Summary:A method is presented for the numerical finite-difference solution of the equations of motion for laminar, incompressible steady-state flow in both two and three dimensions. The complete Navier-Stokes equations are transformed and expressed in terms of vorticity, scalar, and vector potentials. The transformed equations are solved iteratively. The method is evaluated by solving the Navier-Stokes equations in a plane groove region. Numerical solutions of three-dimensional flows in a square duct and in a rectangular cavity formed in one wall of a square duct are presented. The results obtained are compared with the experimental results and other calculations.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(77)90030-4