Numerical modeling of gas-liquid compressible pipe flow based on thermodynamically compatible systems theory

On the base of thermodynamically compatible systems theory the governing equations of gas-liquid combpressible pipe flow are formulated. The Runge–Kutta–TVD and Runge–Kutta–WENO high accuracy methods are developed for the proposed system. The computational model is used to solve a series of test cases demonstrating its efficiency and capability to be applied to slug flows modeling.