Accession Number : ADA300313

Title :   Proof of Crossplane Symmetry for a Conical Navier-Stokes Solver.

Descriptive Note : Technical rept.,

Corporate Author : CINCINNATI UNIV OH DEPT OF AEROSPACE ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s) : Orkwis, Paul D. ; Sengupta, Raja

PDF Url : ADA300313

Report Date : SEP 1995

Pagination or Media Count : 132

Abstract : A formal proof is given for the symmetry of a conical Navier-Stokes solver that has been employed in the computation of vortex asymmetries. The conical Navier-Stokes equations are presented as developed from the generalized coordinate three-dimensional Navier-Stokes equation approach. The solver is then discussed in detail. The proof is first sketched to clarify what must be shown to demonstrate symmetry. The details of the implicit and explicit side symmetry relations are then presented using in part the MACSYMA symbolic manipulation expert system. (AN)

Descriptors :   *VORTICES, *COMPUTATIONAL FLUID DYNAMICS, *NAVIER STOKES EQUATIONS, COMPUTER PROGRAM DOCUMENTATION, MATHEMATICAL MODELS, ALGORITHMS, SOFTWARE ENGINEERING, MATRICES(MATHEMATICS), THREE DIMENSIONAL, SYMMETRY, EXPERT SYSTEMS, NUMERICAL METHODS AND PROCEDURES, SUBROUTINES, INVISCID FLOW, VISCOUS FLOW, CONICAL BODIES, SYMBOLIC PROGRAMMING.

Subject Categories : Fluid Mechanics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE