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Stabilized formulations for incompressible flows with thermal coupling
Author(s) -
Tezduyar Tayfun E.,
Ramakrishnan Srinivas,
Sathe Sunil
Publication year - 2008
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.1743
Subject(s) - discontinuity (linguistics) , mechanics , compressibility , coupling (piping) , finite element method , discontinuous galerkin method , galerkin method , thermal , compressible flow , physics , classical mechanics , mathematics , mathematical analysis , thermodynamics , engineering , mechanical engineering
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. Copyright © 2008 John Wiley & Sons, Ltd.