%0 Journal Article
%T Petrov-Galerkin approximation for advective-diffusive heat transfer in saturated porous media
%A S. Frey
%A M. L. Martins-Costa
%A R. M. Saldanha Da Gama
%J Latin American applied research
%D 2008
%I Scientific Electronic Library Online
%X This article studies the heat transport in a flow through a saturated rigid porous medium. The mechanical model is based on the Continuum Theory of Mixtures which considers the fluid and the porous matrix as overlapping continuous constituents of a binary mixture. A Petrov-Galerkin formulation is employed to approximate the resulting system of partial differential equations, overcoming the classical Galerkin method limitation in dealing with advective-dominated flows. The employed method is built in order to remain stable and accurate even for very high advective-dominated flows. Taking advantage of an appropriated upwind strategy, the applied finite element method proved to generate accurate approximations even for very high P¨Śclet regime. Some two-dimensional simulations of the advective-diffusive heat transfer in a flow through a porous flat channel employing lagrangean bilinear and serendipity biquadratic elements have been performed attesting the reliability of the employed Petrov-Galerkin formulation as well as the poor performance of Galerkin one even when mesh refining is considered.
%K Porous Media
%K Mixture Theory
%K Computational Heat Transfer
%K Finite Elements
%K Petrov-Galerkin Formulation
%U http://www.scielo.org.ar/scielo.php?script=sci_arttext&pid=S0327-07932008000200010