Chapter 9

X-FEM Simulation of Two-Phase Flows

Abstract

A simulation method of transient immiscible and incompressible two-phase flows is proposed in this chapter, which demonstrates how to deal with the multi-phase flow problem by applying X-FEM methodology. In particular, the projection term consisting of discontinuity and precise integration is introduced to solve the Navier–Stokes equation. A number of numerical examples describe the interface tracking and capturing schemes used to deal with interfacial discontinuity to model incompressible two-phase flows.

Keywords

Interfacial discontinuity; immiscible and incompressible two-phase flows; Navier–Stokes equation; interface tracking and capturing schemes

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