三维液体大幅晃动及其抑制的数值模拟

利用 AL E( Arbitrary L agrange- Euler)有限元方法 ,以速度和压力为基本变量 ,数值模拟了圆筒形贮腔中不可压粘性三维液体的大幅晃动问题 .为了避免混合插值在求解三维问题中的数值计算麻烦 ,推导了分步插值的有限元计算格式 ,得到了横向强迫晃动下的速度及压力响应 .根据工程需要 ,对带有圆环形肋板的圆筒形贮腔中的非线性晃动进行了数值模拟计算 ,得到了强迫激励下的速度及压力响应 ,并将得出的一些重要结论与有关实验结果进行了对比分析 .

Numerical Simulation and Suppression of Three Dimension Large Amplitude Liquid Sloshing

Three dimension large amplitude liquid sloshing in cylindrical tank was numerically simulated by using AL E( Arbitrary Lagrange- Euler) finite element method,where the pressure and velocity are used as principle variables.To avoid the computational complicacy of mixed interpolation in solving three dimen- sional problem,this paper presented the fractional step program which makes the computational scheme extremely simple and obtained the instantaneous dynamic response velocity and pressure fields under hori- zontal stimulating.Considering engineering requirement,the liquid sloshing in a tank with ring baffle was simulated.Some important conclusions were obtained.The computed results were compared with the re- lated experimental results.