A Simple Numerical Method for Solving an Incompressible Two-Fluid Model in a General Curvilinear Coordinate System

A simple numerical method for solving an incompressible isothermal two-fluid model was proposed in the present study. A general curvilinear coordinate system was adopted in this method in order to predict transient multi-dimensional gas-liquid two-phase flow in complex geometry. The simplicity of the method was achieved by making use of the governing equations expressed in a tensor form in terms of contravariant components and covariant derivatives. It was demonstrated that this method gives good predictions for transient multi-dimensional bubbly flows.