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A boundary element formulation for natural convection problems
Author(s) -
Kitagawa Koichi,
Wrobel Luiz C.,
Brebbia Carlos A.,
Tanaka Masataka
Publication year - 1988
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.1650080203
Subject(s) - buoyancy , natural convection , finite element method , boundary value problem , convection , navier–stokes equations , mathematics , penalty method , boundary element method , mechanics , convection–diffusion equation , body force , boundary (topology) , mathematical analysis , classical mechanics , physics , mathematical optimization , thermodynamics , compressibility
This paper presents a boundary element formulation employing a penalty function technique for two‐dimensional steady thermal convection problems. By regarding the convective and buoyancy force terms in Navier‐Stokes equations as body forces, the standard elastostatics analysis can be extended to solve the Navier‐Stokes equations. In a similar manner, the standard potential analysis is extended to solve the energy transport equation. Finally, some numerical results are included, for typical natural convection problems, in order to demonstrate the efficiency of the present method.