Conservative CIP Method and Application to Splashing Phenomena

We present a review of the CIP method [1–3] that is known as a general numerical solver for solid, liquid, gas and plasmas. This method is a kind of semi-Lagrangian scheme and has been extended to treat incompressible flow in the framework of compressible fluid. Since it uses primitive Euler representation, it is suitable for multi-phase analysis. The recent version of this method guarantees the exact mass conservation [4] even in the framework of semi-Lagrangian 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, pressure-based algorithm. In this paper, particular attention is placed on splashing phenomena in which water surface breaks up and disintegrated into many pieces.