Application of fifth-order WENO finite difference method in the moving-interface tracking

In order to achieve high-precision and high-resolution tracking fluid moving-interface, the fluid volume function (VOF) method was adopted. The two-dimensional transport equation of VOF function was transformed into a one-dimensional conservation law equation. Its spatial derivative was dispersed with fifth-order WENO finite difference method, its time derivative was dispersed with the third-order Runge-Kutta method, the numerical flux was calculated using the local Lax-Friedrich flux, and the moving-interface was reconstructed using Youngs interface reconstruction technology. Based on the above approaches, a method of fifth-order high precision and high resolution was proposed to track moving-interface with VOF. The method was applied to track the moving-interfaces of classic translation, rotating and shear flow field. The results show that the method can achieve high-precision and high-resolution tracking fluid moving-interface.