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A boundary element method for steady incompressible thermoviscous flow
Author(s) -
Dargush G. F.,
Banerjee P. K.
Publication year - 1991
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620310811
Subject(s) - compressibility , boundary element method , computation , incompressible flow , domain (mathematical analysis) , boundary (topology) , flow (mathematics) , mechanics , mathematics , finite element method , current (fluid) , reynolds number , mathematical analysis , geometry , physics , algorithm , thermodynamics , turbulence
A boundary element formulation is presented for moderate Reynolds number, steady, incompressible, thermoviscous flows. The governing integral equations are written exclusively in terms of velocities and temperatures, thus eliminating the need for the computation of any gradients. Furthermore, with the introduction of reference velocities and temperatures, volume modelling can often be confined to only a small portion of the problem domain, typically near obstacles or walls. The numerical implementation includes higher order elements, adaptive integration and multiregion capability. Both the integral formulation and implementation are discussed in detail. Several examples illustrate the high level of accuracy that is obtainable with the current method.