| LI Daming,LI Yangyang. 2015. A mathematical model of calculating local tsunami wave source constraints and propagation. Acta Oceanologica Sinica, 34(5):103－109 |
| A mathematical model of calculating local tsunami wave source constraints and propagation |
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| Received:May 23, 2014 Revised:October 21, 2014 |
| DOI：10.1007/s13131-015-0673-0 |
| Key words:local tsunami initial displacement field numerical simulation tsunami wave propagation |
| 中文关键词: |
| 基金项目:The National Natural Science Foundation of China under contract No. 51079095; the Science Fund for Creative Research Groups of the National Natural Science Foundation of China under contract No. 51021004. |
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| Abstract: |
| This paper presents a local tsunami simulation, including the initial displacement field model of tsunami source and tsunami wave propagation model. We deduced the tsunami wave equation; applied the matching of interior and exterior solutions method and water mass method to determine the initial displacement field in different bottom topography. Tsunami wave propagation model was based on the Boussinesq equation. Difference format was based on the ADI method which discretized in alternating direction in the form of implicit scheme. The open boundary of ADI had been revised considering the influence of wave propagation in the equation of motion. The local tsunami mathematical model was used in the simulation of 2011 Japan tsunami, and the results and the observation data match well. |
| 中文摘要: |
| 建立了局地海啸数值模型, 包括海啸源的初始位移场模型和海啸波传播模型两部分。初始位移场模型通过对海啸波理论方程的推导, 应用内外解匹配和等水体量的方法确定了不同海底地形的海啸波的初始位移场, 海啸波传播模型从Boussinesq方程出发, 差分格式采用交替方向隐格式即ADI方法并对ADI方法的开边界进行了改进, 在运动方程里考虑了海啸波能量对波传播的影响。本文利用此模型对2011年的日本海啸进行了模拟计算, 结果与观测数据拟合较好。 |
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