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Journal of the Brazilian Society of Mechanical Sciences and Engineering

versão impressa ISSN 1678-5878versão On-line ISSN 1806-3691

Resumo

CAMACHO, R. G. R.  e  BARBOSA, J. R.. The boundary element method applied to incompressible viscous fluid flow. J. Braz. Soc. Mech. Sci. & Eng. [online]. 2005, vol.27, n.4, pp.456-462. ISSN 1678-5878.  http://dx.doi.org/10.1590/S1678-58782005000400015.

An Integral equation formulation for steady flow of a viscous fluid is presented based on the boundary element method. The continuity, Navier-Stokes and energy equations are used for calculation of the flow field. The governing differential equations, in terms of primitive variables, are derived using velocity-pressure-temperature. The calculation of fundamental solutions and solutions tensor is showed. Applications to simple flow cases, such as the driven cavity, step, deep cavity and channel of multiple obstacles are presented. Convergence difficulties are indicated, which have limited the applications to flows of low Reynolds numbers.

Palavras-chave : Boundary elements; fundamental solution; integral equations.

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