Accession Number : ADA136985

Title :   Adaptive Grid Generation for Numerical Solution of Partial Differential Equations.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Brown,K G

PDF Url : ADA136985

Report Date : Dec 1983

Pagination or Media Count : 77

Abstract : A new approach for the generation of flow-adaptive grids for numerical solution of fluid dynamics problems is presented. However, the method is applicable to the numerical evaluation of any partial differential equation. The dynamic coupling of the grid with the flow solution is accomplished through a grid-optimization technique. The optimization is based on the minimization of the finite difference truncation error in the transformed plane. The method is tested on the one-dimensional Burgers' equation which is representative of typical fluid dynamics problems. Burgers' equation is solved with an optimized SOR (Successive Over Relaxation) method using upwind difference for the convective term. Results are presented for various Reynolds numbers and are compared to results from a similar adaptive grid method and to results for a static grid. They show the ability of the method to concentrate grid points high in gradient regions where large truncation errors occur. (Author)

Descriptors :   *Grids, *Numerical analysis, *Partial differential equations, *Nonlinear differential equations, *Fluid dynamics, Truncation, Errors, Reynolds number, Finite difference theory, Aerodynamic characteristics, Computer program documentation, Theses

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE