Premium
Boundary layer refinements in convective diffusion problems
Author(s) -
Kanarachos A.
Publication year - 1982
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.1620180203
Subject(s) - galerkin method , mathematics , stability (learning theory) , boundary (topology) , finite element method , convection , diffusion , boundary layer , convective boundary layer , mathematical analysis , argument (complex analysis) , mechanics , physics , computer science , chemistry , thermodynamics , planetary boundary layer , biochemistry , machine learning
Abstract The paper outlines a numerical procedure for the finite element solution of convective diffusion problems with significant convective terms using conventional (not upwinded) Galerkin methods in connection with ‘boundary‐layer type’ elements. The underlying argument in the sequel is that the poor stability properties of conventional Galerkin methods are caused by the insufficient approximation of eigensolutions. These are located at some sections of the boundary and are only present within a generally very thin layer. Consequently, the identification of these layers and the satisfactory approximation of the eigensolutions are necessary and totally sufficient for a satisfactory solution. In the following we intend to present this procedure, its theoretical background and selected numerical results.