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Finite element solution of the Navier-Stokes equations for incompressible flow using a segregated algorithm

✍ Scribed by C.G. du Toit

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
924 KB
Volume
151
Category
Article
ISSN
0045-7825

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✦ Synopsis

A segregated finite element algorithm for the solution of the SUPG formulation of the incompressible steady-state Navier-Stokes equations is investigated in this paper. The method features equal order interpolation for all the flow variables. The SIMPLEST algorithm is employed which results in symmetric coefficient matrices for the momentum equations. The same iterative linear equation solver can therefore be employed for the solution of the momentum and pressure equations. The effect of applying the SUPG weighting functions only to the convective terms is compared with the effect of applying the functions to all the terms in the momentum equations. The effect of using an iterative linear equation solver as opposed to a direct linear equation solver is also discussed.

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A three-field finite element scheme for the explicit iterative solution of the stationary incompressible Navier-Stokes equations is studied. In linearized form the scheme is associated with a generalized time-dependent Stokes system discretized in time. The resulting system of equations allows for a

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The potential for using a network of workstations for solving the incompressible Navier-Stokes equations using a finite element formulation is investigated. A programming paradigm suitable for a heterogeneous distributed workstation cnvironrnent is developed and compared to the traditional paradigm