A note on the accuracy of the mild-slope equation
A note on the accuracy of the mild-slope equation
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DOI：
10.1016/0378-3839(83)90017-0
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发表时间：
1983-08
影响因子：
4.4
通讯作者：
N. Booij
中科院分区：
文献类型：
--
作者：
N. Booij
缓坡方程是一种垂向积分的折射-绕射方程，用于预报波浪在底部不平坦区域的传播。顾名思义，它是基于一个温和的底部坡度的假设。本文的目的是检验该方程作为底部坡度的函数的精度。为此，进行了大量的数值实验，比较了三维波动方程和缓坡方程的解。对于平行于深度等值线传播的波，即使底坡为1阶，缓坡方程也能得到准确的结果。对于垂直于深度等值线传播的波，缓坡方程的精度较低。该公式可用于底部倾角达1：3的情况。
The mild-slope equation is a vertically integrated refraction-diffraction equation, used to predict wave propagation in a region with uneven bottom. As its name indicates, it is based on the assumption of a mild bottom slope. The purpose of this paper is to examine the accuracy of this equation as a function of the bottom slope. To this end a number of numerical experiments is carried out comparing solutions of the three-dimensional wave equation with solutions of the mild-slope equation.For waves propagating parallel to the depth contours it turns out that the mild-slope equation produces accurate results even if the bottom slope is of order 1. For waves propagating normal to the depth contours the mild-slope equation is less accurate. The equation can be used for a bottom inclination up to 1:3.