抄録
In this paper, a 2-D numerical model for shallow-water flows using the Weighted Essentially Non-Oscillatory (WENO) scheme and the Finite Difference Method is developed. In the model, the Cartesian coordinate system is adopted, and the FAVOR method is introduced into the governing equations. The regular grid system is adopted as the computational grid. The model was applied to dam-break flows and to complex flows with hydraulic jump in order to verify the validity of the model. For the dam-break flows, the model was able to reproduce the theoretical solutions with high accuracy. Moreover, for the complex flows, the model was able to calculate the hydraulic jump without numerical oscillation and also the calculated water surface was in good agreement with the experimental results. Thus, it is shown that the presented model using the WENO scheme is very useful for the simulations of shallow-water flows.
