基于无奇异边界元法模拟三维全非线性液舱晃荡（英文）

Numerical Simulation of Nonlinear Sloshing Waves in Three-dimensional Tank based on DBIEM

文章基于全非线性势流理论对三维液舱晃荡进行了数值模拟,其控制方程由无奇异边界积分方程法(Desingularized Boundary Integral Equation Method,DBIEM)进行离散求解,在求解全非线性的自由面微分方程时,文中采用混合欧拉—拉格朗日法(Mixed Eulerian-Lagrangian,MEL)和四阶Adams-Bashforth-Moulton(ABM4)预报—修正方法,为了避免结果发散即增强数值稳定性,文中采用B样条法来光顺自由面。在微幅水平激励下,该文中得到的结果与解析解吻合较好。

Based on the fully nonlinear velocity potential theory, the liquid sloshing in a three-dimen-sional tank is studied. The governing Laplace equation with fully nonlinear boundary conditions on the moving free surface is solved by using the indirect desingularized boundary integral equation method （DBIEM）. The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme （ABM4） and mixed Eulerian-Lagrangian （MEL） method are used for the time-stepping integration of the free surface boundary conditions. A smoothing scheme, B-spline curve, is applied to both the longitudi-nal and transverse directions of the tank to eliminate the possible saw-tooth instabilities. When the tank is undergoing horizontal regular motion of small amplitude, the calculated results are in very good agreement with linear analytical solution.