INVESTIGADORES
STORTI Mario Alberto
artículos
Título:
On the efficiency and quality of numerical solutions in CFD problems using the Interface Strip Preconditioner for domain decomposition
Autor/es:
RODRIGO R. PAZ; NORBERTO M. NIGRO; MARIO A. STORTI
Revista:
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Editorial:
John Wiley and sons
Referencias:
Año: 2006 vol. 52 p. 89 - 118
ISSN:
0029-5981
Resumen:
In this paper, some pathologies found for simple tests solved by means of preconditioned full iterative schemes are presented. According to these results (Sections 4 and 5), the accuracy deterioration observed should be considered as a warning for the final application given to these solutions. Even though it is well known that full iterative solvers are not the best selection for comparison, they were chosen because they are widely used by the computational fluid dynamic (CFD) community for a diversity of complex fluid dynamics applications. FEM simulated solutions are compared with analytical solutions or measured data for problems that have been considered as benchmarks in the CFD 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 additive Schwarz domain decomposition schemes) in CFD computations and those obtained with the new interface strip preconditioner (J. Comput. Meth. Sci. Engng 2003; Int. J. Numer. Meth. Engng 2005; 62(13):1873-1894) 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 schemes applied to a internal/external viscous compressible/incompressible flows around bodies of complex shapes. Therefore, the target of this work is to show how the reliability of CFD codes is affected by the solver selection and why domain decomposition methods should be viewed not only as a more efficient strategy, but also to guarantee the solution quality.