关键词：
Boussinesq方程;缓坡方程;波浪变形;频散性;非线性
摘 要：
在对缓坡方程和Boussinesq方程研究的基础上,从方程的基本形式和特征以及频散关系等方面对二者进行了分析和比较,明确了线性缓坡方程在频散性上要好于非线性Boussinesq方程。此外还对Boussinesq型模型与抛物型缓坡方程模型在Berkhoff椭圆地形的计算结果及其精度也进行比较,计算结果与实测数据吻合很好,说明这两种模型都可以用于模拟近岸波浪传播过程所发生的各种变形。但由于各自控制方程对各物理过程的处理不同,因此各有特征。
译 名：
ANALYSIS AND COMPARISON OF THE BOUSSINESQ EQUATION AND MILD-SLOPE EQUATION
作 者：
Zhang Yang 1,2 ,Li Ruijie 1 ,Zhang Suxiang 1 ,Zhu Wenjin 1 and Luo Feng 1 (1. Laboratory of Ocean Environment,Hohai University,Nanjing,210098, China; 2.Department of Civil and Coastal Engineering, University of Florida, Gainesville, FL 32611-6590, USA)
关键词：
Boussinesq equation; mild-slope equation; wave transformation; dispersion relation; nonlinearity
摘 要：
Based on the examination of the Boussinesq equation and mild-slope equation,the two equations are compared in terms of basic form and characteristic and dispersion relation etc. It is clarified that the linear mild-slope equation is superior to the non-linear Boussinesq equation in dispersion relation. In addition, The elliptical terrain adopted by Berkhoff is computed and compared by using the two models, and the agreement between the model results and available experimental data is found to be quite reasonable, which demonstrates the model's ability to simulate wave transformation. However they can deal with different physical processes as each has is own characteristics.
