DOMAIN DECOMPOSITION METHODS APPLIED TO A SYSTEM OF CONVECTION-DIFFUSION-REACTION EQUATIONS

Obtaining efficient and robust solutions to realistic fluid flow probl ems with chemical reactions is a challenging computational task. This is due to the potential wide disparity in lime and space scales and th e severe nonlinearities. However, there is significant industrial appl ication for such a capability in areas such as energy production, prop ulsion, and materials processing. These applications are often charact erized by regions of low Mach number flow. This study investigates New ton-Krylov algorithms with domain-based preconditioning for the soluti on of these types of problems. Domain-based preconditioners may offer improvements in robustness and parallelism over more standard ILU type preconditioners. Results are presented comparing additive and multipl icative Schwarz preconditioners to more standard global ILU preconditi oners on a low Mach number combustion problem.