Finite Element Technique for Solving the Stream Function Form of a Linearized Navier-Stokes Equations Using Argyris Element

2004/06/03 by Fairag, F., Almulla, N.
#65N30 #76M10 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/0406070

Abstract

The numerical implementation of finite element discretization method for the stream function formulation of a linearized Navier-Stokes equations is considered. Algorithm 1 is applied using Argyris element. Three global orderings of nodes are selected and registered in order to conclude the best banded structure of matrix and a fluid flow calculation is considered to test a problem which has a known solution. Visualization of global node orderings, matrix sparsity patterns and stream function contours are displayed showing the main features of the flow.

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