Numerical Model for Counter-Current Flow

Abstract

This paper presents a numerical model for two-phase counter-current flow (CCF). The numerical approach is adapted from split-flux methods often used in Computational Fluid Dynamics (CFD) for compressible flows. Spatial derivatives use a centered difference plus an added term for dissipation that is equivalent to upwind (donor) assignment. The void propagation velocity is an essential part of the dissipation term. The method is illustrated by using a conventional drift-flux model using simplified closure definitions. Sample solutions are presented to illustrate that the numerical model has the ability to consider CCF phenomena and the ability to capture a CCF limit. The approach is believed to be new for two-phase flow analysis.