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基于全和谐型浅水方程的有限体积海啸数值模型开发与应用
引用本文:周文,王培涛,王岗,于福江,郑金海,梁秋华.基于全和谐型浅水方程的有限体积海啸数值模型开发与应用[J].海洋学报,2021,43(5):27-37.
作者姓名:周文  王培涛  王岗  于福江  郑金海  梁秋华
作者单位:1.海岸灾害及防护教育部重点实验室(河海大学),江苏 南京 210098
基金项目:国家重点研发计划(2017YFC1404205,2018YFC1407000);国家自然科学基金面上项目(51579090);中央高校基本科研业务费(2019B12214)
摘    要:数值模拟作为海啸预报的主要研究方法在海啸预警中起着关键作用。本文采用Godunov格式的有限体积方法,使用MUSCL-Hancock格式,并利用HLLC Riemann近似求解器计算单元界面上的流体通量,建立了球坐标系下二阶精度的海啸数值模型。模型所基于的全和谐型浅水方程保证了数值的稳定性,而地形重构方法实现了干湿边界的精准模拟。本文模拟了2015年9月16日智利Mw8.3级地震海啸,通过与智利近岸14个测站和环太平洋20个DART浮标实测数据比较,验证了模型对实际越洋海啸模拟预报的能力。

关 键 词:海啸数值模型    全和谐型浅水方程    有限体积法    干湿边界    智利海啸
收稿时间:2020-05-24

Development and application of a finite volume tsunami numerical model based on the well-balanced shallow water equations
Institution:1.Key Laboratory of Coastal Disaster and Protection (Hohai University), Ministry of Education, Nanjing 210098, China2.National Marine Environmental Forecasting Center, Beijing 100081, China3.School of Architecture, Building and Civil Engineering, Loughborough University, Leicestershire LE11 3TU, UK
Abstract:Numerical simulation, as the major research method of tsunami, plays a key role in tsunami warning. The present paper develops a second-order accuracy numerical tsunami model in the spherical coordinate using the Godunov-type finite volume method and MUSCL-Hancock scheme. An HLLC approximate Riemann solver is employed to evaluate fluxes across cell interfaces. The well-balanced expression format of shallow water equations ensures the numerical stability, while the local topography reconstruction method is used to deal with the moving shoreline boundary. The model is used to investigate the propagation of the 16 September 2015 Chile tsunami. The capability of the model is verified by comparison with the observational data from 14 coastal tidal-gauge stations near Chile and 20 DART buoys covering the Pacific Ocean.
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