论文部分内容阅读
缓坡方程被广泛地应用于描述波浪的传播变形计算 ,目前一般采用矩形网格求解 .将计算域剖分为任意四边形网格 ,以格林公式为基础 ,在变量沿单元边界线性变化的假定下 ,对双曲型的波能守恒方程、波数矢无旋性方程进行离散 ,同时通过等参单元变换推求节点偏导数值以离散椭圆型光程函数方程 ,从而建立了任意曲线边界条件下缓变水深水域波浪传播的数值模拟模型 .将模型应用于平行直线型等深线地形 ,并将计算域剖分为不规则四边形网格 ,对不同入射角、底坡、波高等多种组合情况比较了数值解与解析解 ,结果表明两者一致 .应用于复杂边界的实例 ,数值模拟结果与物模实验值基本吻合 .
The gentle slope equation is widely used to describe the wave propagation deformation calculation, which is usually solved by a rectangular grid. The computational domain is divided into arbitrary quadrilateral meshes. Based on the Green’s formula, under the assumption that the variables linearly change along the boundary of the element, The hyperbolic wave energy conservation equation and the wave number vector are discretized, and at the same time, the partial derivative of the node is deduced by the isoparametric unit transformation to the discrete elliptic optical path function equation, so that the water depth The numerical simulation model of wave propagation in water area is proposed.The model is applied to the parallel isthmus contour and the computational domain is divided into irregular quadrilateral grids, and numerical values are compared for different combinations of angles of incidence, slope and wave height Solution and analytical solution, the results show that the two are consistent.Applied to the complex boundary examples, numerical simulation results and experimental data basically agree.