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A Petrov–Galerkin/modified operator formulation for convection–diffusion problems
Author(s) -
de Sampaio P. A. B.
Publication year - 1990
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.1620300208
Subject(s) - petrov–galerkin method , mathematics , galerkin method , polygon mesh , operator (biology) , convection–diffusion equation , differential operator , diffusion , mathematical analysis , convection , steady state (chemistry) , finite element method , mechanics , physics , geometry , biochemistry , chemistry , repressor , gene , transcription factor , thermodynamics
A new Petrov–Galerkin method to deal with convection–diffusion problems is presented. The formulation is derived from the concept of using a modifying function to make the differential operator self‐adjoint. The so‐called ‘optimal upwind’ parameter (α) arises naturally from the process of approximating the modifying function. Transient and steady‐state examples on uniform and non‐uniform meshes are shown.