Accession Number : ADA299715

Title :   Local Preconditioning of the Euler Equations and its Numerical Applications.

Descriptive Note : Final technical rept. 15 Apr 94-14 Apr 95,

Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF AEROSPACE ENGINEERING

Personal Author(s) : Ver Leer, Bram ; Roe, Philip L.

PDF Url : ADA299715

Report Date : 29 JUN 1995

Pagination or Media Count : 31

Abstract : The stagnation-point instability has been remedied by two measures: (1) The sensitivity of the Van Leer preconditioner to the flow angle for low Mach number was reduced at the cost of raising the characteristic condition number from 1 to 2. (2) One matric element was bounded away from zero so as to prevent certain eigen vectors to become parallel in the limit of vanishing Mach number. Navier-Stokes preconditioners were studied at low cell Reynolds number, as was preconditioning in the presence of a one-equation turbulence model. The results over the entire 3-year contract period are reviewed. (AN)

Descriptors :   *COMPUTATIONAL FLUID DYNAMICS, *COMPRESSIBLE FLOW, *EULER EQUATIONS, MATHEMATICAL MODELS, ALGORITHMS, OPTIMIZATION, TIME DEPENDENCE, MATRICES(MATHEMATICS), GRIDS, DAMPING, EIGENVECTORS, TURBULENCE, CONVERGENCE, MACH NUMBER, NUMERICAL METHODS AND PROCEDURES, NAVIER STOKES EQUATIONS, INVISCID FLOW, VISCOUS FLOW, INSTABILITY, REYNOLDS NUMBER, STAGNATION POINT.

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE