
Accession Number : AD0766697
Title : The Numerical Solution of the Fluid Dynamical Equations in Curvilinear Coordinates.
Descriptive Note : Technical rept. Oct 72Jun 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 LaxWendroff and MacCormack which is adapted to accommodate source terms. In particular, this timedependent procedure has two steps which follow the noncentered pattern of MacCormack's method where the fluxes are adjusted in such a way that second derivatives are handled in the wellcentered manner characteristic of the LaxWendroff 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