Study of Numerical Solution Generated by an Ill-Posed Two-Fluid Model

Two-phase flow dynamics plays an important role in understanding the kinetics of nuclear reactors and boilers. Difficulty has been reported in obtaining the numerical solution of two-phase flow by a two-fluid model which was described as ill-posed. In the present paper, all analysis is performed for an ill-posed nonlinear partial differential equation which can be a reasonable simplified alternative to the two-fluid model. We attempt to gain a practical understanding of the ill posedness by numerical implementation of the present equation with the finite difference method.