Adaptive Grid Generation for Numerical Solution of Partial Differential Equations.

reportActive / Technical Report | Accession Number: ADA136985 | Open PDF

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

Author(s):
Brown, K. G.
Author Organization(s):
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
Descriptive Note:
Master's thesis,
Pagination:
0077

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AFIT/GAE/AA/83D-3
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_1_Force Support; JCA_1.3_Human Capital Management; JCA_5.3.3_Develop Strategy; JCA_5.3.4_Develop Courses of Action; JCA_5.3.5_Analyze Courses of Action; JCA_1.3.2_Personnel Management; JCA_1.2_Force Preparation; JCA_1.2.3_Educating; JCA_4.6_Engineering
Modernization Areas:
Quantum Science and Computing
Communities of Interest:
Air Platforms
Descriptor(s):
*Grids, *Numerical analysis, *Partial differential equations, *Nonlinear differential equations, *Fluid dynamics, Truncation, Errors, Reynolds number, Finite difference theory, Aerodynamic characteristics, Computer program documentation, Theses
Field(s)/Group(s):
Numerical Mathematics, Fluid Mechanics
Keyword(s):
Burgers equation, SOR(Successive Over Relaxation Method)
Report Date:
1983 Dec 01