A generalized streamline finite element approach for the analysis of incompressible flow problems including moving surfaces

Published in Comput. Methods Appl. Mech. Engrg., Vol. 173, pp. 241-255, 1999
doi: 10.1016/S0045-7825(98)00272-2

Abstract

In the present work a generalized streamline finite element formulation able to deal with incompressible flow problems is presented. In the finite element framework, this technique allows the use of equal order interpolation for the unknowns of the problem: velocity and pressure. In this context, stable and convergent solutions can be obtained without requiring tuning parameters defined outside this model. The tracking of moving surfaces is also included in the numerical model. This formulation has been checked in 21) and 3D tests.