High precision numerical simulation for gas-liquid two-phase flow

Coupled with the third-order Runge-Kutta, LS and modified ghost fluid method MGFM, the weighted ENN3 scheme (WENN3) was proposed to study the numerical simulation for gas-liquid two-phase flow. WENN3 was applied to discrete the spatial derivative of Euler equation, level set (LS) transport equation and its reinitialization equation. The third-order Runge-Kutta was applied to discrete their time derivative. LS method was applied to track the moving interface and MGFM method was applied to define interface boundary conditions. Through one-dimensional simulations with high density and high pressure ratio, and two-dimensional underwater explosion simulations, the evolution process of shock wave generation, propagation, reflection, transmission and water surface uplift were analyzed, the numerical simulation for gas-liquid two-phase flow were performed, and the correctness and reliability of the proposed method were verified. The results of numerical simulations showed that this method has high resolution, high precision, and many advantages in suimulating gas-liquid two-phase flow with high density, high pressure ratio and strong discontinuity, and it can realize high resolution tracking of moving interface.