Flux-difference splitting schemes for 2D flood flows
Flux-difference splitting schemes for 2D flood flows
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DOI：
10.1061/(asce)0733-9429(2000)126:1(33
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发表时间：
2000
影响因子：
2.4
通讯作者：
A. Jha;J. Akiyama;Masaru Ura
中科院分区：
文献类型：
--
作者：
A. Jha;J. Akiyama;Masaru Ura
提出了两种二维洪水流动的数值模型。一个模型是一阶精度，另一个是二阶精度。用Roe的数值通量建立了一阶精度模型，而用Lax-Wendroff数值通量得到了时间和空间的二阶精度。研究发现，简单的运算符拆分与使用更复杂且耗时的运算符拆分所得到的结果相同。守恒性采用Roe近似雅可比，熵不等条件采用Harten和Hyman方法。在二阶精度模型中使用通量限制器，在保持精度的同时消除振荡。利用已有的局部溃坝二维洪水波试验资料对模型进行了验证。通过数值实验验证了该模型除了能正确预测水深和速度外，还能正确地预测自由面的运动特性。
Two numerical models for 2D flood flows are presented. One model is first-order accurate and another is second-order accurate. Roe's numerical flux is used to develop the first-order accurate model, while second-order accuracy, in space and time, is obtained by using the Lax-Wendroff numerical flux. A simple operator splitting is found to yield the same results as that obtained by using more complicated, and thus, time consuming, operator splitting. Roe's approximate Jacobian is used for conservative properties and Harten and Hyman's procedure is followed for the entropy inequality condition. Flux limiter is used in the second-order accurate model that removes oscillations while maintaining the order of accuracy. The models are verified against available experimental data of a 2D flood wave due to partial dam-break. Numerical experiments are conducted to verify the models' ability to correctly predict behavior of the free surface, in addition to prediction of depth and velocity.