Authors: JianHui Liao Zhuo Zhuang
Publish Date: 2012/11/09
Volume: 28, Issue: 5, Pages: 1309-1322
Abstract
In this paper a consistent projectionbased streamline upwind/pressure stabilizing PetrovGalerkin SUPG/PSPG extended finite element method XFEM is presented to model incompressible immiscible twophase flows As the application of linear elements in SUPG/PSPG schemes gives rise to inconsistency in stabilization terms due to the inability to regenerate the diffusive term from viscous stresses the numerical accuracy would deteriorate dramatically To address this issue projections of convection and pressure gradient terms are constructed and incorporated into the stabilization formulation in our method This would substantially recover the consistency and free the practitioner from burdensome computations of most items in the residual Moreover the XFEM is employed to consider in a convenient way the fluid properties that have interfacial jumps leading to discontinuities in the velocity and pressure fields as well as the projections A number of numerical examples are analyzed to demonstrate the complete recovery of consistency the reproduction of interfacial discontinuities and the ability of the proposed projectionbased SUPG/PSPG XFEM to model twophase flows with open and closed interfaces
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