三峡升船机的水动力计算

Hydrodynamic Calculations for Ship Lift in Three-Gorges

以加速度势为待求变量 ,在水动力学线性理论的框架下 ,建立了承船厢在升降过程受到加速度激励时 ,厢内流体和船体运动的求解方程 ;考虑了流体和船体运动间的耦合效应 .问题用边界元方法求解 ;利用 Green函数的一种几何约束 ,减轻了场点与源点重合时造成的奇异性 ,以及流域角点处确定立体角的麻烦 .对自由表面的网络进行了特殊的划分 ,可适应多艘船舶在自由面上任意布置的情形 .通过对程序进行多方面的验证 ,表明文中的理论和数值计算是合理的 。

A computational method was established based on the linear theory of the hydrodynamics for the ship lift problems. The acceleration potential is taken as the dependent variable; the acceleration of the ship box is taken as the excitation. The coupling between ship and water is fully considered. The problem was solved by the boundary element method. By applying a geometrical restriction of the Green function, the singularity of integration is weakened and the trouble of determining a solid angle is avoided. A special mesh generation method was used for the grids on the free surface to meet the requirement of arbitrary ships located in arbitrary positions automatically. Many validation examples were made to show the reliability of the proposed method and the method and its program can be effectively used for the simulations of the ship lift in Three Gorges.