SciELO - Scientific Electronic Library Online

vol.34 issue1Numerical prediction of bed-load and surface deformation on a granular bed sheared by a turbulent boundary-layerLaser beam welding tempered 300M ultrahigh mechanical strength steel author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand




Related links


Journal of the Brazilian Society of Mechanical Sciences and Engineering

Print version ISSN 1678-5878


DAN, Markcilei Lima; LOEFFLER NETO, Carlos Friedrich  and  MANSUR, Webe João. A transformation of variables technique applicable to the boundary element method to simulate a special class of diffusive-advective potential problems. J. Braz. Soc. Mech. Sci. & Eng. [online]. 2012, vol.34, n.1, pp.9-17. ISSN 1678-5878.

This paper describes a novel Boundary Element Technique developed for application to one-dimensional and a class of two-dimensional diffusive-advective potential problems. It is based on transformation of variable procedure to establish an integral equation inverse sentence, dealing only with boundary variables, using a fundamental solution associated with a diffusive problem. To apply the technique described here, the original differential equation is rewritten and flow potential functions are employed to contract terms which appear in the original equation, giving as a result an equivalent equation expressed in terms of the derivative of the product of two functions. This new form of the governing equation, together with the proposed transformation of variables is quite convenient for the application of the boundary element methodology: a very simple discretization procedure arises; the resulting algorithms require low CPU time and the numerical results are quite accurate.

Keywords : Boundary Element Method; potential problems; diffusive-advective equation; fluid flow modeling.

        · text in English     · English ( pdf epdf )


Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License