Accession Number : ADA113013

Title :   Numerical Algorithm for Rapid Integration of Turbulence-Model Equations on Elliptic Regions.

Descriptive Note : Final scientific rept. 1 Mar 78-31 Dec 81,


Personal Author(s) : Wilcox,David C

PDF Url : ADA113013

Report Date : Feb 1982

Pagination or Media Count : 33

Abstract : A numerical algorithm suitable for rapid numerical solution of advanced turbulence-model equations on elliptic regions has been devised. The algorithm is particularly useful for obtaining accurate solutions when (a) one of the dependent variables is singular approaching a solid boundary, and (b) the number of mesh points available to resolve the flowfield is small. The new algorithm is used in conjunction with the MacCormack semi-implicit scheme for solving the time-averaged Navier-Stokes equations to obtain solutions for a laminar Mach 2 boundary layer and for a turbulent Mach 3 boundary layer. In both cases, numerical accuracy is shown to be excellent for meshes having less than 20 points normal to the surfaces. As a corollary result of this study we have shown that, using the new algorithm and the MacCormack scheme, time-averaged Navier-Stokes solutions are now feasible using a microcomputer. (Author)

Descriptors :   *Turbulent flow, *Mathematical models, *Numerical methods and procedures, Algorithms, Computer applications, Microprocessors, Navier Stokes equations, Flow fields, Boundary value problems, Viscous flow, Mach number, Turbulent boundary layer, Axial flow turbines

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE