Premium
Finite element solutions of convective diffusion problems
Author(s) -
Barrett K. E.,
Demunshi G.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620141007
Subject(s) - polygon mesh , mathematics , finite element method , reynolds number , stream function , vorticity , nonlinear system , residual , spline (mechanical) , mathematical analysis , geometry , mechanics , algorithm , vortex , physics , turbulence , quantum mechanics , thermodynamics
Three weighted residual methods are used to analyse several linear and nonlinear model problems related to the stream function–vorticity formulation of the Navier–Stokes equations. These methods are then used to solve the driven cavity problem. The results obtained at Reynolds numbers of 100 and 400 compare very favourably with those obtained by finite difference and spline methods on meshes using at least four times as many mesh points.