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，即每个控制体积处的体积分数场总和为 1。对所有多相流应用，尤其是在涉及以下情况的情况下，强制执行对体积分数场的约束是至关重要的传质。本文回顾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强制执行几何守恒的一些技术。然后引入隐式方法并将其应用于许多多相和自由表面流动问题。它与当前的显式方法及其在强制执行几何守恒方面的有效性进行了比较。