曲线坐标系下非均匀水流中波浪传播的数值模拟  

Numerical Simulation of Wave Propagation on Non-Uniform Current in Curvilinear Coordinates

作　　者：张洪生[1] 丁平兴[2] 吴中[3] 缪国平 

机构地区：[1]上海交通大学船舶与海洋工程学院,上海200030 [2]华东师范大学河口海岸国家重点实验室,上海200062 [3]河海大学交通与海洋工程学院,南京210024

出　　处：《上海交通大学学报》2003年第8期1261-1265,共5页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金 (40 10 6 0 0 8) ;总参谋部重点课题和总装备部预研课题(40 70 10 10 42 1)资助项目

摘　　要：利用自适应网格技术 ,建立了曲线坐标系下缓变水深水域非均匀水流中波浪传播的数值模拟模型 .将椭圆型非均匀水流中波浪传播的联合折射 -绕射方程化为依赖时间变化的抛物型方程 ,并以此作为控制方程 ,克服了一般抛物近似方法的缺点 ;从开边界条件、不同反射特性的固壁边界条件相统一的表达式出发 ,对边界条件进行处理 ;用 ADI法数值求解控制方程 .验证结果表明 ,模型能适应复杂的边界形状 ,可以较好地模拟复杂边界条件下波浪传播过程中的多种物理现象 ,克服了以往各种代数坐标变换的局限性 ,有效地反映了水流对波浪传播的影响 .模型的模拟结果可供实际工程参考使用 .In curvilinear coordinates, a numerical simulation model for wave propagation on non-uniform current in water of slowly varying topography was presented with employing self-adaptive grids method. The governing equation was described by the time dependent parabolic equation which is deduced from the elliptic type of mild slope equation on non-uniform, it avoids the drawback to common parabolic form of mild slope equation. Based on the general conditions for open and fixed natural boundaries with an arbitrary reflection coefficient and phase shift, the boundary conditions for the present model were treated. To solve the governing equation, the alternative direction implicit method was used. The numerical tests verify that the present model is suitable to the complicated boundary shapes and overcomes the limitation of other algorithm models. It can effectively simulate the physical processes of wave propagation and reflect the effects of current on wave propagation. The simulation results can be used for coastal engineering.

关 键 词：数值模拟 曲线坐标系 非均匀水流 波浪传播 

分 类 号：O355[理学—流体力学]