二维溃坝波传播和绕流特性的高精度数值模拟

本文建立了二维浅水方程的高分辨率差分模型，即将浅水方程作空间差分分裂，分别沿x、y方向应用组合型的通量限制二阶TVD格式，采用Van Leer的MUSCL型限量函数，用以解决二维溃坝的计算问题.首先分别与一维理论解和其它二维结果的比较，表明本文的方法非常成功.然后对全溃和部分溃情况下的溃坝波传播和绕流问题进行了数值研究，给出了精细的数值结果，揭示了其复杂的运动特性.

High accuracy simulation for propagation and diffractionof Dam break waves

A high resolution difference model for 2\|D shallow water flow equations is presented in this paper.The second order hybrid TVD scheme with Van BF]Leer's BFQ]MUSCL limiters is applied along x and y direction splitted from shallow flow equations.To verify its validity,the scheme is applied to solve 1\|D and 2\|D dam\|break problems.The numerical results are compared with the theoretical exact solution and other numerical methods.It demonstrates that the method is successful.The propagation and diffraction of dam\|break wave a round a rectangular cylinder is also simulated in the case of the dam either fully or partly broken.It gives very satisfactory results and reveals the complicated flow characteristics of the wave.