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MULTIDIMENSIONAL UPWIND RESIDUAL DISTRIBUTION SCHEMES FOR THE CONVECTION–DIFFUSION EQUATION
Author(s) -
PAILLÈRE H.,
BOXHO J.,
DEGREZ G.,
DECONINCK H.
Publication year - 1996
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19961115)23:9<923::aid-fld463>3.0.co;2-9
Subject(s) - upwind scheme , convection–diffusion equation , stencil , discretization , mathematics , convection , residual , galerkin method , term (time) , finite element method , mathematical analysis , mechanics , physics , thermodynamics , algorithm , computational science , quantum mechanics
Multidimensional residual distribution schemes for the convection–diffusion equation are described. Compact upwind cell vertex schemes are used for the discretization of the convective term. For the diffusive term, two approaches are compared: the classical finite element Galerkin formulation, which preserves the compactness of the stencil used for the convective part, and various residual‐based approaches in which the diffusive term, evaluated after a reconstruction step, is upwinded along with the convective term.