引入空气动力学中发展起来的AUSM格式,在三角形网格上采用有限体积法,对二维浅水控制方程进行数值求解;引入过程中,对浅水问题中的源项及露滩问题等采用了相应的特殊处理。通过对二维计算常用的溃坝算例及扎龙湿地实际算例的计算结果分析可知:二维浅水问题中引入该计算格式后,计算结果较好且保持了原格式的优良特性,同时也验证了该格式在二维浅水方程中应用的可行性及可靠性。
The advection upstream splitting method (AUSM) is used to discretize the 2D shallow-water equations based on the finite-volume method and unstructured triangular grids. The source terms and drying-wetting moving boundary in the shallow-water equations are specifically handled. Compared with the theoretical and classical cases for 2D dam-break and Zhalong wetland, it shows that the results are in good agreement with the field data and the advantage of original scheme is also remained. The application of AUSM scheme is shown its stability and credibility.