Arbitrary Lagrangian-Eulerian Method for Two-Phase Flows: Applications

Abstract

This chapter presents a collection of test cases for two-phase flows using the Arbitrary Lagrangian-Eulerian (ALE) framework through the Finite element method (FEM). Using an explicit description of the interface between fluids and moving the mesh nodes according to the flow velocity has shown successfully the advantages of the ALE description. Complex geometries can be handled with relative ease using FEM as will be seen withing this chapter. It is shown that such a methodology can be employed to study accurately many problems, such as oil extraction and refinement in the petroleum and gas industry, design of refrigeration systems, modeling of biological systems and efficient cooling of electronics. The numerical results obtained will be described in details.