Accession Number : AD0766697

Title :   The Numerical Solution of the Fluid Dynamical Equations in Curvilinear Coordinates.

Descriptive Note : Technical rept. Oct 72-Jun 73,

Corporate Author : AIR FORCE WEAPONS LAB KIRTLAND AFB N MEX

Personal Author(s) : Eiseman,Peter R.

Report Date : AUG 1973

Pagination or Media Count : 89

Abstract : DIFFICULTIES, ONE MUST TRANSFORM THE GOVERNING EQUATIONS OF MOTION INTO A COORDINATE SYSTEM WHERE THE BOUNDARIES ARE SIMPLE. Among the most useful transformations are those which are constructed from analytic functions and from simple homotopies. In essence, the simplified boundaries are obtained at the expense of having a slightly more complicated system of equations. This slight complication offers very little resistance to a numerical solution. A numerical method is then developed to efficiently solve the transformed equations. The numerical scheme is a hybrid of the methods of Lax-Wendroff and MacCormack which is adapted to accommodate source terms. In particular, this time-dependent procedure has two steps which follow the non-centered pattern of MacCormack's method where the fluxes are adjusted in such a way that second derivatives are handled in the well-centered manner characteristic of the Lax-Wendroff method. (Author)

Descriptors :   (*FLUID FLOW, EQUATIONS OF MOTION), (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), TENSOR ANALYSIS, COMPLEX VARIABLES, ANALYTIC FUNCTIONS, ALGEBRAIC TOPOLOGY, MAGNETOHYDRODYNAMICS, NUMERICAL ANALYSIS, VECTOR ANALYSIS

Subject Categories : Theoretical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE