考虑粘性作用情况下船在船厢中运动的水动力学分析  

Hydrodynamic analysis of viscous water wave caused by ship moving in ship chamber

作　　者：董俊哲[1] 李宝元[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116023

出　　处：《计算力学学报》2009年第5期734-738,共5页Chinese Journal of Computational Mechanics

基　　金：高等学校博士学科点专项科研基金(20040386004)资助项目

摘　　要：从根据浅水特性在垂直方向所平均化的N-S方程出发,利用有限元计算船舶进出船厢时的水动力学过程和船舶运动过程中的升沉、纵倾及船舶与厢底的最小间隙。由于在平均过程中保留了粘性项,同时产生了底摩擦项,使得到的数学方程更接近真实物理问题,另一方面也增加数值计算的稳定性。本文提出了随非惯性系一起运动的开边界的辐射条件。关于压力的求解,在船底与自由表面分别利用压力泊松方程求压力及自由表面利用连续方程求波高的求解方法。由针对三峡升船机的数值模拟的计算结果看,计算结果合理,计算方法稳定。In this paper, the shallow water equation and FEM are used to analyse the horizontal movement, flicker and the least clearance between the ship bottom and the ship-chamber when the ship is driven into and out of the chamber. The shallow water equation used in the paper including not only the bottom friction part, but also the viscosity part, which, on one hand, makes the equation more similar to physical problem, on the other hand, increases the stability of results. The paper gives out the nonreflection boundary conditions for open boundaries, which move with non-inertial coordinate system; the method to solve pressure of pressed surface with Poisson equation and the method to solve wave height of free surface with continuity equation. As to the engineering condition of ship elevator for Three Gorges, a series of calculation are carried out, show stable computations, and provide reasonable results.

关 键 词：有限元法 浅水波动方程 粘性 移动网格方法 

分 类 号：O241.8[理学—计算数学]