An efficient and flexible solver for the simulation of the morphodynamics of fast evolving flows on coarse sediment beaches
An efficient and flexible solver for the simulation of the morphodynamics of fast evolving flows on coarse sediment beaches
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DOI：
10.1002/fld.2618
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发表时间：
2012-06
影响因子：
1.8
通讯作者：
R. Briganti;N. Dodd;D. Kelly;D. Pokrajac
中科院分区：
文献类型：
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作者：
R. Briganti;N. Dodd;D. Kelly;D. Pokrajac
使用平衡良好的总变差递减-麦科马克方案来模拟移动粗沉积物床上的快速演变的流动。选择该方案是因为其冲击捕获能力及其相对简单，可以轻松插入不同的沉积物输送公式。这里处理的流动类型的一个典型例子是孔驱动的波浪爬升。这里使用移动床上溃坝的类比来分析模型的性能。该模型求解非线性浅水方程以及移动床的 Exner 沉积物平衡方程。该问题的瞬时排沙量公式的不同表达式的准解析解被用来测试该方案的性能。与 Grass 公式的现有解决方案一起，获得了不同公式的进一步解决方案。还对作为行业标准的进一步公式进行了数值测试。结果与解决方案的一致性非常好，并且所有测试的公式都获得了一致的结果。版权所有 © 2011 约翰·威利父子有限公司
A well‐balanced total variation diminishing–McCormack scheme is used to simulate the fast evolving flow on a mobile coarse sediments bed. The scheme is chosen because of its shock capturing capabilities and its relative simplicity, which allow different sediment transport formulae to be slotted in easily. A typical example of the kind of flows treated here is bore‐driven wave run‐up. The analogy with a dam‐break on a mobile bed is used here to analyze the performance of the model. The model solves the nonlinear shallow water equations coupled with the Exner sediment balance equation for the mobile bed. Quasi‐analytical solutions to this problem for different expressions for instantaneous sediment discharge formulae are used to test the performance of the scheme. Together with the existing solution for the Grass formula, a further solution is obtained for a different formula. Numerical tests were also carried out for a further formula that is an industry standard. The agreement of the results with the solutions is very good and consistent results were obtained for all the formulae tested. Copyright © 2011 John Wiley & Sons, Ltd.