In the paper, three kinds of mathematical models for the propagation and transformation of waves: elliptic mild slope equation, parabolic mild slope equation and hyperbolic mild slope equation have been numerically simulated.
本文首先对描述波浪在近岸传播变形的三类缓坡方程模型:椭圆型缓坡方程、抛物型缓坡方程和双曲型缓坡方程,进行了数值模拟研究。
参考来源 - 近岸波浪场的缓坡模型数值模拟及波流场中污染物输运的研究There is an undetermined coefficient C, in the mild slope equation considering the effect of high-order term, which is assumed as a constant. Analysing non-linearity of the improved mild slope equation by adjusting the value of C_1.
其中，在考虑高阶项影响的缓坡方程中，存在一待定系数C_1，并假定C_1为常数，通过不断调整C_1的取值来分析其对改进后的缓坡方程非线性性能的影响。
参考来源 - 考虑高阶项影响的缓坡方程及其应用·2,447,543篇论文数据，部分数据来源于NoteExpress
抛物线形缓坡方程波浪数学模型是进行大范围波浪计算的有效方法。
Wave mathematical model of parabolic gentle slope equation is an effective method for calculating waves of wide scope.
数值计算的结果表明，该数值模型可有效地应用于双曲型缓坡方程的数值求解。
The numerical results show that the numerical model used in the paper can be effectively used in the numerical simulation of the hyperbolic mild slope equation.
使用抛物型缓坡方程和修改抛物型缓坡方程研究了双圆形浅滩地形的波浪折射绕射。
Parabolic mild slope equation and modified mild slope equation are applied to solve refraction diffraction of waves over twain circular shoal.
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