
浅水波方程的二维数值模拟
向波1、米晓2、纪昌明3、罗庆松4
Two dimensional value simulation of shallow water equation
Xiang Bo1、Mi Xiao 2、Ji Changming3、Luo Qingsong4
非结构的三角形网格适应于复杂不规则的边界,在此基础上采用有限体积法离散浅水波方程,并结 合有限差分法建立了一种新的离散格式,使得界面通量计算达到二阶精度。为了验证所建立的模型,分别对 二维弯道和二维部分溃坝流动进行了模拟计算,比较了一阶精度和二阶精度的结果,并与其他的方法进行了 比较,得到了较好的结果。
The unstructured triangular mesh adapts to complex irregular boundary.Based on this,adopting finite volume method to disperse shallow water equation and combining with the finite difference method, this paper has developed a new discrete format that caused the interface flux to achieve second-order precision. To verify the model established, this paper has simulated and calculated the two-dimensional curve course and some two-dimensional flow of dam-break separately, and obtained preferable results comparing with other methods.
shallow water equation / finite volume method / unstructured mesh / dam-break
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