Abstract
In this study, we present a numerical method simulating multiphase flow having complicated geometries based on the flexible and highly accurate interpolation method of CIVA. discretisation is performed by the finite volume method combined with C-CUP method for universal capability to handling compressible and incompressible fluid flows. In order to check the validity of the method, we solve some benchmark problems of compressible flow, incompressible flow and multiphase flow having complicated geometry.