A finite element model for incompressible laminar two-phase flows is presented. A two-fluid model, describing the laminar non-equilibrium flow of two incompressible phases, is discretized by means of a properly designed streamline upwind Petrov-Galerkin (SUPG) finite element procedure. Such a procedure is consistent with a continuous pressure equation. The design and the implementation of the algorithm are presented together with its validation throughout a comparison with simulations available in the literature. Copyright C 2006 John Wiley & Sons, Ltd.
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Univ S Carolina, Dept Math, Columbia, SC 29208 USAUniv S Carolina, Dept Math, Columbia, SC 29208 USA
Wang, Hong
Yang, Danping
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E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
E China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R ChinaUniv S Carolina, Dept Math, Columbia, SC 29208 USA
Yang, Danping
Zhu, Shengfeng
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E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
E China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R ChinaUniv S Carolina, Dept Math, Columbia, SC 29208 USA