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Abstract

A new one-dimensional gas-kinetic BGK scheme for gas-water flow is developed with the inclusion of the stiffened equation of state for water. The mixture model is considered, where the gas and water inside a computational cell achieve the equilibrium state, with equal pressure, velocity and temperature, within a time step. The splitting method is adopted to calculate the flux of each component at a cell interface individually. The preliminary application of the present newly developed method in different types of shock tube problems, including gas-gas shock tube and gas-water shock tube problems, validates its good performance for gas-water flow.