On the efficiency and quality of numerical solutions in CFD problems using the Interface Strip Preconditioner for domain decomposition methods

PAZ RODRIGO; NIGRO NORBERTO; STORTI MARIO

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (ONLINE)

JOHN WILEY

Año: 2006 vol. 52 p. 89 - 118

1097-0363

In this paper, the efficiency and the quality of the solutions obtained with a new parallelizable preconditioner for Domain Decomposition Methods (DDM) by means of Finite Element discretization of partial differential equations arising in the context of CFD problems is studied. Converged solutions are compared with the analytical solution or measured data for problems that have been considered as ‘benchmarks’ in the computational fluid dynamic literature. For this purpose, the study of the solution obtained via parallelized iterative methods that have been extensively used (e.g. Conjugate Gradients (CG), GMRes global iteration and its variants, ‘overlapping’ and ‘non-overlapping domain decomposition additive Schwarz schemes) in CFD computations and those obtained with the Interface Strip (IS) preconditioner for the Schur Complement method is carried out. The idea is to present the new solver as an alternative to obtain more accurate and faster solutions in the context of monolithic and non-monolithic CFD schemes. For this purpose, confined internal flows and external viscous compressible/incompressible flow around (complex-shape) bodies are considered.