A robust high‐resolution finite volume scheme for the simulation of long waves over complex domains
A robust high‐resolution finite volume scheme for the simulation of long waves over complex domains
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DOI：
10.1002/fld.1537
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发表时间：
2008-02
影响因子：
1.8
通讯作者：
A. I. Delis;M. Kazolea;N. Kampanis
中科院分区：
文献类型：
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作者：
A. I. Delis;M. Kazolea;N. Kampanis
采用一维平衡的高分辨率有限体积格式，对长表面波的传播、加速和衰减进行了数值研究。采用高分辨率Godunov型显式格式和Roe的Riemann近似求解器，数值求解了具有源项的非线性浅水方程的守恒型格式。该格式还被扩展到处理二维复数区域。对与模式方程中地形源项的存在以及湿/干锋的出现有关的数值困难进行了适当的处理和推广。由此得到的数值模型准确地将破碎波描述为钻孔或水力跳跃，并守恒了跨水流不连续的体积。数值结果与以前提出的解析解或渐近解以及实验基准数据非常吻合。版权所有©2007 John Wiley&Sons，Ltd.
The propagation, runup and rundown of long surface waves are numerically investigated, initially in one dimension, using a well‐balanced high‐resolution finite volume scheme. A conservative form of the nonlinear shallow water equations with source terms is solved numerically using a high‐resolution Godunov‐type explicit scheme coupled with Roe's approximate Riemann solver. The scheme is also extended to handle two‐dimensional complex domains. The numerical difficulties related to the presence of the topography source terms in the model equations along with the appearance of the wet/dry fronts are properly treated and extended. The resulting numerical model accurately describes breaking waves as bores or hydraulic jumps and conserves volume across flow discontinuities. Numerical results show very good agreement with previously presented analytical or asymptotic solutions as well as with experimental benchmark data. Copyright © 2007 John Wiley & Sons, Ltd.