On the Numerical Computation for a One-Dimensional Two-Phase Flow Equations

This paper describes the development of an approximate solution for the numerical computation for a one-dimensional two-phase flow equations. The equations include source terms which account for the relaxation of volume fraction and the interfacial fraction. A simple splitting numerical method, which handles separately the homogeneous and source terms problems, is used to compute approximations of the solutions. The homogeneous problem is solved numerically using Godunov methods of centred-type. This solution is then employed in the source terms problem to solve the general initial-value problem for the two-phase flow equations. Numerical results are presented demonstrating the complete approach. The results show that the interphase interaction through the source terms appearing in the equations.