Parallelization of an implicit algorithm for fluid flow problems

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 1997

Autores

dalmeida, fd (Autor) Outra; vasconcelos, pb (Autor) FEP

Ata de Conferência Internacional

Título: Parallel and Distributed Processing for Computational Mechanics: Systems and Tools

Páginas: 300-314

Indexação

ISI Web of Knowledge - 0 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Ciências da computação e da informação

Outras Informações

ID Authenticus: P-001-CT4

Abstract (EN): The test problem used is the steady 2-D incompressible laminar flow in a square lid-driven cavity. We will consider the linear system generated by a coupled discretization and linearization method for the Navier-Stokes equations. This method consists of a discretization of the momentum equations to obtain the velocities at the faces of a finite volume, in terms of the values of these variables at the grid points followed by the integration of the momentum and continuity equations in the finite volumes. This integration leads to equations where the values of the variables at the cell faces are to be replaced by the expressions obtained at the previous stage. The linear system to be solved at each nonlinear iteration connects values of velocities and pressure at each grid point in each equation. The coefficient matrix is large, nonsymmetric, sparse, with non-null entries on the diagonal. The characteristics of these linear systems indicate the use of nonstationary iterative methods, for instance preconditioned GMRES, for their solution. The strategy used to parallelize this method was nonoverlapping domain decomposition. The linear system to be solved at each outer iteration is then equivalent to the solution, on the interfaces separating subdomains, of the Schur complement reduced system followed by the update of the solution in the subdomains. Numerical tests will be reported showing the number of outer iterations and elapsed times of this code on a Transputer based machine, compared to the corresponding results on a cluster of workstations.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15