Parallel iterative computational methods for 3D finite element flow simulations. (English) Zbl 0952.76036

Kalro, Vinay; Tezduyar, Tayfun

Comput. Assist. Mech. Eng. Sci. 5, No. 2, 173-183 (1998).

Summary: We discuss sparse matrix computational method and their parallel implementations for evaluating matrix-vector products in iterative solutions of coupled nonlinear equations encountered in finite elements flow simulations. Based on sparse computation schemes, we introduce globally-defined preconditioners by mixing clustered element-by-element preconditioning concept with incomplete factorization methods. These preconditioners are implemented on a CRAY T3D parallel supercomputer. In addition, the sparse schemes discussed here are applied to three-dimensional simulation of incompressible flow past a circular cylinder.

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
65F50	Computational methods for sparse matrices
65Y05	Parallel numerical computation
65H10	Numerical computation of solutions to systems of equations

Keywords:

incompressible flow past circular cylinder; sparse matrix computational method; matrix-vector products; iterative solutions; globally-defined preconditioners; incomplete factorization methods; CRAY T3D parallel supercomputer