Development of multi-dimensional sharp-interface method based on conservation law for liquid-gas two-phase compressible fluid simulations

Kamiya, Tomohiro ; Yoshida, Hiroyuki  

We developed a sharp-interface method satisfying a conservation law for a compressible two-phase flow. In this presentation, the outline and numerical test results of the developed method in multi-dimension were reported. The ghost fluid method does not cause numerical diffusion at a gas-liquid interface because difference between gas and liquid phases is avoided. It cannot satisfy the conservation law because cells in which liquid and gas coexist are not prepared although in fact an interface crosses a cell. Hence, we developed the ghost fluid method satisfying a conservation law by preparing cells in which liquid and gas coexist by VOF method. Multi-dimensional basic equations are solved by a split method which is one of the geometric VOF methods. We solved an underwater explosion problem and confirmed that gas bubble expansion and compressible wave propagation which are observed in the steam explosion can be represented and developed method satisfies the conservation law.