The Numerical Solution of the Fluid Dynamical Equations in Curvilinear Coordinates.
Technical rept. Oct 72-Jun 73,
AIR FORCE WEAPONS LAB KIRTLAND AFB N MEX
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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 MacCormacks 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
- Theoretical Mathematics
- Fluid Mechanics