A tsunami simulation of Hakata Bay using the viscous shallow-water equations

A tsunami simulation of Hakata Bay using the viscous shallow-water equations
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DOI:
10.1007/s13160-013-0111-7
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发表时间:
2013-09
影响因子:
0.9
通讯作者:
H. Kanayama;Hiroshi Dan
H. Kanayama;Hiroshi Dan
中科院分区:
数学4区
文献类型:
--
作者:
H. Kanayama;Hiroshi Dan

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东日本大地震引发的海啸对东北地区沿海地区造成了严重破坏。数值模拟被用来预测海啸造成的破坏。浅水方程通常用于海啸从外海向海岸传播的数值模拟。本研究的重点是粘性浅水方程,并试图产生一个计算方法,使用有限元技术的基础上以前的调查金山和Ohtsuka(海岸工程Jpn 21:157-171,1978)。首先,基于静水压力沿重力方向的假设,从Navier-Stokes方程出发,推导出粘性浅水方程组。接下来,示出了数值方案。最后,博多湾和东北隐岐的海啸模拟使用的方法。
The tsunami generated by the Great East Japan Earthquake caused serious damage to the coastal areas of the Tohoku district. Numerical simulations are used to predict damage caused by tsunamis. Shallow-water equations are generally used in numerical simulations of tsunami propagation from the open sea to the coast. This research focuses on viscous shallow-water equations and attempts to generate a computational method using finite element techniques based on the previous investigations of Kanayama and Ohtsuka (Coast Eng Jpn 21:157–171, 1978). First, the viscous shallow-water equation system is derived from the Navier–Stokes equations, based on the assumption of hydrostatic pressure in the direction of gravity. Next a numerical scheme is shown. Finally, tsunami simulations of Hakata Bay and Tohoku-Oki are shown using the approach.