Asymptotic induced numerical method for the convection-diffusion-reaction equation. Final report

Technical Report · Sat Oct 01 00:00:00 EDT 1988

OSTI ID:6789873

Scroggs, J S; Sorensen, D C

A parallel algorithm for the efficient solution of a time dependent reaction convection diffusion equation with small parameter on the diffusion term is presented. The method is based on a domain decomposition that is dictated by singular perturbation analysis. The analysis is used to determine regions where certain reduced equations may be solved in place of the full equation. Parallelism is evident at two levels. Domain decomposition provides parallelism at the highest level, and within each domain there is ample opportunity to exploit parallelism. Run time results demonstrate the viability of the method.

• Research Organization: National Aeronautics and Space Administration, Hampton, VA (USA). Langley Research Center
• OSTI ID: 6789873
• Report Number(s): N-89-12027; NASA-CR-181730; ICASE-88-60; NAS-1.26:181730
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ALGORITHMS
CONVECTION
DIFFERENTIAL EQUATIONS
DIFFUSION
DOCUMENT TYPES
ENERGY TRANSFER
EQUATIONS
HEAT TRANSFER
KINETICS
MASS TRANSFER
MATHEMATICAL LOGIC
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PROGRESS REPORT
REACTION KINETICS
SHOCK WAVES