Universal and Simultaneous Solution of Solid, Liquid and Gas in Cartesian-Grid-Based CIP Method

We present a review of the CIP method that is known as a general numerical solver for solid, liquid and gas. This method is a kind of semi-Lagrangean scheme and has been extended to treat incompressible flow in the framework of compressible fluid. Since it uses primitive Euler representation, it suits for multi-phase analysis. The recent version of this method guarantees the exact mass conservation even in the framework of semi-Lagrangean scheme. Comprehensive review is given for the strategy of the CIP method that has a compact support and subcell resolution including front capturing algorithm with functional transformation. Some practical applications are also reviewed such as milk crown or coronet.