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Numerical Modeling of Tidal Wave Punup

机译:潮汐波普努普的数值模拟

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摘要

A numerical solution for the 2 + 1 (long-shore and onshore propagation directions and time) nonlinear shallow-water wave equations, without friction factors or artificial viscosity is presented. The models use a splitting method to generate two 1 + 1 propagation problems, one in the onshore and the other in long-shore direction. Both are solved in characteristic form using the method of characteristics. A shoreline algorithm is implemented, which is the generalization of the earlier 1 + 1 algorithm used in the code VTCS-2. The model is validated using large-scale laboratory data from solitary wave experiments attacking a conical island. The method is applied then to model the 1993 Okushiri, Japan, the 1994 Kuril Island, Russia, and the 1996 Chimbote, Peru tsunamis. It is found that the model can reproduce correctly overland flow and even extreme events such as the 30-m runup and the 20-m/s inundation velocities inferred during field surveys. The results suggest that bathymetric and topographic resolution of at least 150 m is necessary for adequate predictions, while at least 50 m resolution is needed to model extreme events, contrary to intuitive expectations that long waves would not interact with morphological features of such short scales.
机译:给出了2+1(长岸和陆上传播方向和时间)非线性浅水波浪方程的数值解,没有摩擦因子或人工粘度。这些模型使用分裂方法生成两个 1 + 1 传播问题,一个在陆上,另一个在长岸方向。两者都使用特征方法以特征形式求解。实现了海岸线算法,这是代码 VTCS-2 中使用的早期 1 + 1 算法的泛化。该模型使用来自攻击圆锥形岛的孤波实验的大规模实验室数据进行验证。然后,该方法应用于模拟1993年日本奥尻海啸、1994年俄罗斯千岛岛海啸和1996年秘鲁钦博特海啸。结果发现,该模型可以正确再现陆上水流,甚至还能再现野外调查中推断的30 m上升和20 m/s淹没速度等极端事件。结果表明,至少150米的测深和地形分辨率是充分预测的必要条件,而模拟极端事件至少需要50米的分辨率,这与长波不会与这种短尺度的形态特征相互作用的直观预期相反。

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