Block-iterative finite element computations for incompressible flow problems

Authors:
T. E. Tezduyar;R. Glowinski;J. Liou;T. Nguyen;S. Poole
Affiliations:
Univ. of Minnesota, Minneapolis, MN;Univ. of Houston, Houston, TX;Univ. of Minnesota, Minneapolis, MN;IBM Corporation, Houston, TX;IBM Corporation, Houstin, TX
Venue:
ICS '88 Proceedings of the 2nd international conference on Supercomputing
Year:
1988

Citing 2
Cited 0

Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization: Applications to transient convection-diffusion problems

Computer Methods in Applied Mechanics and Engineering
Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations

Computer Methods in Applied Mechanics and Engineering

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Abstract

A block-iterative finite element procedure is presented for two-dimensional fluid dynamics computations on multiply-connected domains based on the vorticity - stream function formulation of the incompressible Navier-Stokes equations. The difficulty associated with the convection term in the vorticity transport equation is addressed by using a streamline-upwind/Petrov-Galerkin scheme.Element-by-element preconditioned iteration techniques with high degree of vectorization and high computational speed are employed to solve the linear equation system for each block. Performance evaluations show the potential of these techniques to be used for large-scale computations.