Incompressible multiphase flow and encapsulation simulations using the moment‐of‐fluid method

Abstract

A moment of fluid method is presented for computing solutions to incompressible multiphase flows in which the number of materials can be greater than two. In this work, the multimaterial moment-of-fluid interface representation technique is applied to simulating surface tension effects at points where three materials meet. The advection terms are solved using a directionally split cell integrated semi-Lagrangian algorithm and the projection method is used to evaluate the pressure gradient force term. The underlying computational grid is a dynamic block structured adaptive grid. The new method is applied to multiphase problems illustrating contact line dynamics, triple junctions, and encapsulation in order to demonstrate its capabilities. Examples are given in 2D, 3D axisymmetric (R-Z), and 3D (X-Y-Z) coordinate systems.

A 3D Moment of Fluid method for simulating complex turbulent multiphase flows

“…Originally, this method was developed for nding optimal multi-material partitions [21,22]. Recently, Jemison et al [23], Li et al [24], Asuri Mukundan et al [25,26,27] applied this method to multiphase ows simulations. Various implementations to the MOF method have been made in the past years, for example, Freiss et al [28] extended this method to cylindrical coordinates for simulating axisymmetric ows, Galera et al [29] and Breil et al [30] applied the numerical method for arbitrary Lagrangian Eulerian (ALE) meshes.…”

A 3D, fully Eulerian, VOF-based solver to study the interaction between two fluids and moving rigid bodies using the fictitious domain method

“…An alternative approach can be the moment-of-fluid (MoF) method first proposed by Ahn and Shashkov [41], which requires additional information in the form of cellwise centroid position of each phase. Recently, Li et al [42] presented a MoF approach to track centroids along with volume fractions. The method [40] adopted in the present work requires only the available volume fraction distribution to perform inteface reconstruction in three-phase cells.…”

An Adaptive Coupled Level Set and Moment-of-Fluid Method for Simulating Droplet Impact and Solidification on Solid Surfaces with Application to Aircraft Icing

“…The numerical method used in this study is based on the adaptive multiphase method of Li et al 45 We use a moment-of-fluid reconstruction in the cells with 3 or more materials. For cells with two materials, a CLSVOF reconstruction is applied.…”

“…al. 46 An explicit sub-cycling method from Li et al 45 is used to solve the viscous diffusion part of (2).…”