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

摘要

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