variavel0=<b>Dimitrius C. Pereira</b> - dimi@cesup.ufrgs.br Departamento de Engenharia Mecânica - UFRGS
<b>Cleber Spode</b> - cleber@mecanica.ufrgs.br Departamento de Engenharia Mecânica - UFRGS
<b>Sérgio Frey</b> - frey@mecanica.ufrgs.br Departamento de Engenharia Mecânica - UFRGS
<b>João R. Sant`anna</b> -  Instituto de Cardiologia do RS
<b>Abstract.</b> Systemic  pulmonary  shunts  provide  an  excellent  form  of  palliation  in  neonates  and  children  presenting with  cyanotic congenital  heart  disease with  pulmonar  flow  decrease.  In  this  article,  Streamline Upwind/Petrov-Galerkin    approximations  for blood flow through systemic pulmonary shunts have been performed. The shunt studied in this article is known as modified Blalock- Taussing  in which a  synthetic  tube  graft  is  inserted between  the  left  subclavian  and  the  pulmonar  arteries with  the objective  of addressing part of the sistemic to the pulmonary flow. The finite element  methodology we are concerned with, called SUPG method, overcomes  the  classical Galerkin    shortcoming  for    high Reynolds  flows - namely,  the  need  of  compatibilize  the  velocity  and pressure subspaces satisfying in this way the so-called Babuska-Brezzi condition and the rising of spurious numerical oscillations due  to  the  asymmetric  nature  of advective  acceleration  of   momentum  equation - adding mesh-dependent  terms  to  the  classical Galerkin formulation. A parametric tridimensional model,   employing  trilinear  lagrangean  finite elements, was created based on direct intraoperative measurements to quantify the effects of geometry (diameter and angle) and pulsatility of the flow.
<b>Keywords.</b> Hemodynamics, Finite Elements, SUPG.