Finite Element Technique for Solving the Stream Function Form of a Linearized Navier-Stokes Equations Using Argyris Element
Numerical Analysis
2025-10-20 v1 Numerical Analysis
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.
Cite
@article{arxiv.math/0406070,
title = {Finite Element Technique for Solving the Stream Function Form of a Linearized Navier-Stokes Equations Using Argyris Element},
author = {F. Fairag and N. Almulla},
journal= {arXiv preprint arXiv:math/0406070},
year = {2025}
}
Comments
13 pages, 9 figures