Finite element procedures for time‐dependent convection–diffusion–reaction systems

T. E. Tezduyar*, Y. J. Park, H. A. Deans

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1013-1033
Number of pages21
JournalInternational Journal for Numerical Methods in Fluids
Issue number10
Publication statusPublished - 1987 Oct
Externally publishedYes


  • Convection‐Diffusion‐Reaction Finite Elements Petrov‐Galerkin

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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