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

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.


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