Numerical Simulation of Two-directional Multi-layered Flow by Use of Curvilinear Orthogonal Coordinate System

Abstract

This paper deals with the numerical simulation method concerning the two-directional multi-layered flow by use of the curvilinear orthogonal coordinate system and its verification through the numerical experiment of stratified flows in a reservoir. Starting from the hydrodynamic principles, the mathematical models are deduced by making use of the integral technique with respect to the control volumes derived from the geometrical features in the flow field. The numerical simulation method with use of the models is developed by means of the finite difference technique in terms of the staggered schemes. The results obtained through the proposed procedures in a reservoir are agreed with the past experiences and usefulness of the procedures is successfully verified.