| 越洋海啸波传播数学模型的研究 |
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| 引用本文： | 李大鸣,付庆军,李 锐.越洋海啸波传播数学模型的研究[J].海洋科学,2010,34(5):67-72. |
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| 作者姓名： | 李大鸣 付庆军 李 锐 |
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| 作者单位： | 1. 天津大学,建筑工程学院暨港口与海洋工程教育部重点实验室,天津,300072
2. 青岛市水利局,西海岸供水管理处,山东,青岛,266555 |
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| 摘 要： | 应用内外解匹配的方法和驻相法推导了柱坐标系下地震引起的水面波动方程的解,即推导了地震海啸波生成与传播的理论方程,并对越洋地震海啸理论方程进行了求解。基于Boussinesq方程出发,建立了二维越洋海啸波传播数学模型,并对越洋海啸进行了数值计算,计算方法采用有限差分方法,差分格式采用交替方向隐格式(Alternating Direction Implicit即ADI方法)。利用越洋海啸计算模式对发生在大洋中的地震海啸进行了模拟,将数值模拟结果与地震海啸波理论方程的计算结果进行了比较,两种计算结果吻合较好。
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| 关 键 词： | 越洋海啸 地震海啸 数值模拟 交替方向隐格式法(ADI 方法) |
| 收稿时间： | 2008/11/19 0:00:00 |
| 修稿时间： | 2010/1/19 0:00:00 |
Mathematical model of trans-tsunami wave propagation |
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| LI Da-ming,FU Qing-jun and LI Rui.Mathematical model of trans-tsunami wave propagation[J].Marine Sciences,2010,34(5):67-72. |
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| Authors: | LI Da-ming FU Qing-jun and LI Rui |
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| Abstract: | In this paper, we used the method of matching inner and out solutions and the stationary phased method to derive the solution of the wave equation in cylindrical coordinates for the water surface after earthquake, which is the theoretical equation of earthquake tsunami. We then applied this equation to calculate the trans-oceanic tsunami. Based on the Boussinesq equation, a 2D trans-oceanic tsunami wave propagation mathematical model was built, and was used to simulate the trans-ocean tsunami. In this model, the calculation was performed with the finite difference method, and the difference scheme with the Alternating Direction Implicit, that is ADI method. With the trans-ocean tsunami numerical calculation model, an earthquake tsunami was calculated; and the results were in good consistency with that of the earthquake-induced wave calculated by the theoretical wave equation for water surface. |
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| Keywords: | trans-oceanic tsunami earthquake tsunami numerical simulation method of Alternating Direction Implicit (ADImethod) |
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