Stabilized flux-based flow/thermal finite element representations with applications to convectively cooled structures

Wai S. Poon, Kumar K. Tamma

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Stabilized flux-based finite element representations for steady two-dimensional incompressible flow/thermal problems with emphasis on subsequently applying such techniques to convectively cooled structures are described in this article. First, the discretized equations are derived from a mixed formulation using both primary and flux variables in conjunction with the Streamline-Upwind-Petrov-Galerkin and Pressure-Stabilizing-Petrov-Galerkin features that are used to stabilize the solutions. The constitutive equations are then introduced into the discretized representations and the equations are finally solved for the primary variables. Equal-order linear quadrilateral interpolation functions are used for the velocities, pressure, and temperature. Numerical results are presented for a variety of situations, and finally emphasis is placed on applications to convectively cooled structures that are subjected to intense localized heating.

Original languageEnglish (US)
Pages (from-to)245-263
Number of pages19
JournalJournal of Thermal Stresses
Volume25
Issue number3
DOIs
StatePublished - Mar 2002

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