A Segregated Finite Element Approach To The Solution Of The Navier-Stokes Equations For Incompressible Flow (1998)
BibTeX
@MISC{Toit98asegregated,
author = {C. G. du Toit},
title = {A Segregated Finite Element Approach To The Solution Of The Navier-Stokes Equations For Incompressible Flow},
year = {1998}
}
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Abstract
A segregated finite element algorithm for the solution of the SUPG formulation of the incompressible steady-state Navier-Stokes equations for non-isothermal flow is presented in this paper. The method features equal order interpolation for all the flow variables. The SIMPLER and SIMPLEST algorithms are employed and the sets of nonsymmetric linear equations are solved by means of the preconditioned conjugate gradient squared solver, whilst the preconditioned conjugate gradient solver is used to solve the sets of symmetric linear equations. The e#ect of the value of the Euclidian norm to test for the convergence of the solution is investigated. It is shown that the Euclidian norm is grid dependent. Also the effect of applying the SUPG weighting functions to all the terms in the momentum and energy equations is compared with the effect of applying the functions to the convective terms only. Three cases are investigated, i.e. the flow in a square cavity, the flow between parallel plates an...
Keyphrases
segregated finite element approach navier-stokes equation incompressible flow euclidian norm non-isothermal flow preconditioned conjugate gradient solver equal order interpolation square cavity flow variable nonsymmetric linear equation symmetric linear equation convective term simplest algorithm supg formulation incompressible steady-state navier-stokes equation energy equation parallel plate preconditioned conjugate gradient segregated finite element algorithm grid dependent
