Abstract

The solution of the volume fraction equations in multiphase flows has to satisfy geometric conservation, that is, the volume fraction fields at each control volume sum to 1. Enforcing this constraint on the volume fraction fields is critical for all multiphase flow applications especially for cases involving mass transfer. This article reviews some of the techniques used to enforce geometric conservation when solving the volume fraction equations for general multiphase flows, including free surface flows. An implicit method is then introduced and applied to a number of multiphase and free surface flow problems. It is compared to the current explicit approaches and its effectiveness in enforcing the geometric conservation demonstrated.

摘要

多相流中体积分数方程的解必须满足几何守恒性，即每个控制体积的体积分数场之和为1。对所有多相流应用，尤其是涉及传质。本文介绍了在求解一般多相流（包括自由表面流）的体积分数方程时，用于实施几何守恒的一些技术。然后引入一种隐式方法，并将其应用于许多多相和自由表面流问题。将其与当前的显式方法及其在执行所展示的几何守恒方面的有效性进行了比较。