Stabilized formulations for incompressible flows with thermal coupling

Tayfun E. Tezduyar, Srinivas Ramakrishnan, Sunil Sathe

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

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
Volume57
Issue number9
DOIs
Publication statusPublished - 2008 Jul 30
Externally publishedYes

Fingerprint

Incompressible flow
Incompressible Flow
Discontinuity
Petrov-Galerkin
Stabilization
Test Problems
Formulation
Fluid mechanics
Natural convection
Stabilized Finite Elements
Data Center
Fluid Mechanics
Natural Convection
Streamlines
3D Model
Dissipation
Air
Temperature
Hot Temperature

Keywords

  • 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

Cite this

Stabilized formulations for incompressible flows with thermal coupling. / Tezduyar, Tayfun E.; Ramakrishnan, Srinivas; Sathe, Sunil.

In: International Journal for Numerical Methods in Fluids, Vol. 57, No. 9, 30.07.2008, p. 1189-1209.

Research output: Contribution to journalArticle

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