Petrov-Galerkin finite element approach to coupled heat and fluid flow

A Finite Element method for thermally coupled flow problems is presented. To this effect the penalty approach is applied to the incompressible Navier-Stokes equation. The Finite Element equations are established using a weak formulation of the conservation equations in conjunction with a streamline-...

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Bibliographic Details
Published inComputer methods in applied mechanics and engineering Vol. 94; no. 2; pp. 181 - 200
Main Authors Argyris, John, Laxander, Armin, Szimmat, Jochen
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 1992
Elsevier
Subjects
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Turbulent flows, convection, and heat transfer
Finite element method
Heat exchanger
Rayleigh Bénard instability
Numerical simulation
Flow field
Convection
Heat transfer
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Summary:A Finite Element method for thermally coupled flow problems is presented. To this effect the penalty approach is applied to the incompressible Navier-Stokes equation. The Finite Element equations are established using a weak formulation of the conservation equations in conjunction with a streamline-upwind/Petrov-Galerkin formulation for the convective terms appearing in the Navier-Stokes equation and in the energy equation. The applicability of the numerical algorithms is demonstrated on various examples which refer to typical heat convection problems. In addition to the treatment of thermally coupled flow problems, the concurrent computation of heat exchange processes in solid structures with adjacent flow fields and thermal radiation interchange is established.
ISSN:0045-7825
1879-2138
DOI:10.1016/0045-7825(92)90146-B