Exact analytical solutions of nonlinear problems of tsunami wave run-up on slopes with different profiles
Exact analytical solutions of nonlinear problems of tsunami wave run-up on slopes with different profiles
复制标题
不同剖面斜坡海啸波爬升非线性问题的精确解析解
DOI：
10.1007/bf00129510
复制
发表时间：
1992
期刊：
影响因子：
3.7
通讯作者：
R. Mazova
中科院分区：
文献类型：
--
作者：
E. Pelinovsky;R. Mazova
对研究海滩上海啸波浪上升的论文进行了回顾，并揭示了问题的控制参数。在理想流体的情况下，有两个这样的参数：底部倾斜角和断裂参数。制定了一种逐步寻找助跑特性的方法：海岸线振荡的线性计算以及随后根据黎曼方法对解进行非线性变换。得到了海滩波浪爬升非一维问题的线性方程解。
A review of papers investigating tsunami wave run-up on a beach is given and the control parameters of the problem are revealed. There are two such parameters in the case of ideal fluid: the bottom sloping angle and the breaking parameter. A stage-by-stage approach for finding run-up characteristics is formulated: the linear calculation of shoreline oscillations and the subsequent non-linear transformation of the solution according to the Riemann method. Solution of the nononedimensional problems of wave run-up on a beach in the linear formulation is obtained.