Accession Number : ADA116177

Title :   Finite Difference Methods for the Stokes and Navier-Stokes Equations.

Descriptive Note : Technical summary rept.,


Personal Author(s) : Strikwerda,John C

PDF Url : ADA116177

Report Date : Apr 1982

Pagination or Media Count : 19

Abstract : This paper presents a new finite difference scheme for the Stokes equations and incompressible Navier-Stokes equations for low Reynold's number. The scheme uses the primitive variable formulation of the equations and is applicable with non-uniform grids and non-rectangular geometries. Several other methods of solving the Navier-Stokes equations are also examined in this paper and some of their strengths and weaknesses are described. Computational results using the new scheme are presented for the Stokes equations for a region with curved boundaries and for a disc with polar coordinates. The results show the method to be second-order accurate. (Author)

Descriptors :   *Navier stokes equations, *Numerical analysis, *Finite difference theory, Curved profiles, Incompressibility, Reynolds number, Grids, Computations, Boundaries, Orthogonality, Accuracy

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE