Free Surface Flow Simulation Using a Two-Dimensional Model Based on Marker and Cell Method
Abstract— The interest in the numerical simulation of free surface flows is increasing due to the rapid development of computer technology. A two-dimensional numerical model based on the Marker and Cell (MAC) method is developed in this study. In the current development, the advection term in the Navier-Stokes equation is solved using the third-order Quadratic Upstream Interpolation for Convective Kinematics (QUICK) scheme. For verification and validation purposes, the performance of the numerical model is checked by simulating the classical dam-break flow problem. Satisfactory agreements are observed between the numerical and the previous experimental results in term of the development of free surface profile, the propagation of front wave, the attenuation of depth at the origin and the impact force on the downstream wall.
Keywords—numerical simulation, MAC method, QUICK scheme, free surface flow