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Finite element procedures for time‐dependent convection–diffusion–reaction systems
Author(s) -
Tezduyar T. E.,
Park Y. J.,
Deans H. A.
Publication year - 1987
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/fld.1650071003
Subject(s) - spurious relationship , finite element method , convection , mechanics , convection–diffusion equation , mathematics , galerkin method , diffusion , petrov–galerkin method , physics , thermodynamics , statistics
New finite element procedures based on the streamline‐upwind/Petrov‐Galerkin formulations are developed for time‐dependent convection‐diffusion‐reaction equations. These procedures minimize spurious oscillations for convection‐dominated and reaction‐dominated problems. The results obtained for representative numerical examples are accurate with minimal oscillations. As a special application problem, the single‐well chemical tracer test (a procedure for measuring oil remaining in a depleted field) is simulated numerically. The results show the importance of temperature effects on the interpreted value of residual oil saturation from such tests.