Stabilized formulations for incompressible flows with thermal coupling

Tayfun E. Tezduyar*, Srinivas Ramakrishnan, Sunil Sathe

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

52 Citations (Scopus)


We present applications of the stabilized finite element formulations developed for incompressible flows with thermal coupling to 2D and 3D test problems. The stabilized formulations are based on the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/ Petrov-Galerkin stabilizations and are supplemented with discontinuity capturing (DC), including the discontinuity-capturing directional dissipation. The stabilization and DC parameters associated with these formulations are also presented. The coupled fluid mechanics and temperature equations are solved with a direct coupling technique. The test problems computed include 2D and 3D natural convection, as well as a simplified 3D model of air circulation in a small data center.

Original languageEnglish
Pages (from-to)1189-1209
Number of pages21
JournalInternational Journal for Numerical Methods in Fluids
Issue number9
Publication statusPublished - 2008 Jul 30
Externally publishedYes


  • Discontinuity capturing
  • Finite elements
  • Incompressible flow
  • SUPG/PSPG formulations
  • Thermal coupling

ASJC Scopus subject areas

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


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