Primitive Form Godunov-Type Scheme for Two-Phase Homogeneous Water Hammer Flows

The primitive form second-order Godunov-type scheme is developed to simulate two-phase homogeneous water hammer flows. Compared with the previous solution schemes applied to homogeneous flows, the proposed model introduces a conservative scheme using primitive variables within a Godunov approach. Simplifications of the variables using a Riemann solver and second-order scheme are developed and demonstrated. Predictions of the proposed model are …