An efficient, robust and high accuracy framework for direct numerical simulation of 2D and 2D axisymmetric immiscible flow with large property contrast

Abstract

We develop an efficient, robust and high accuracy framework for the direct numerical simulation of incompressible multiphase flow. This approach combines a high accuracy interfacial jump capturing method with a topology preserving interface tracking method in a semi-implicit setting. With the help of a composite solution for the individual fluid phases within the interfacial cells, the interfacial jump capturing method provides a 2nd order accurate solution and leads to a symmetric coefficient matrix. The method is fully integrated with a high accuracy, topology preserving level set based interface model that allows the accurate translation of the jump conditions between the interface and the grid cells. These two methods of interfacial jump capturing and topology preserving interface tracking are implemented within a semi-implicit solution framework to reduce the simulation cost for viscous flow applications. We solve a variety of 2D and 2D axisymmetric test problems to both verify and validate the new framework.