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Numerical simulation of three-dimensional sloshing phenomena using a finite difference method with marker-density scheme

机译：带有标记密度方案的有限差分法对三维晃动现象的数值模拟

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摘要

In the present study, three-dimensional sloshing phenomena occurring in liquid cargo tanks are numerically simulated. The Navier-Stokes equations and continuity equation are used for the governing equations, and solved with a finite difference method in a rectangular fixed staggered mesh system. The positions of free surface are defined by the Marker density method satisfying the free-surface boundary conditions, and the flows of the gas and liquid regions are simulated simultaneously. The irregular leg length and star method is employed on the cells near the free surface for the computations of pressure. The computation results are compared with other experimental results to verify the consistency of the present numerical method, and the agreements are reasonably good. Furthermore, the flow characteristics inside a partially filled liquid tank of a real sized ship oscillating regularly and irregularly are computed to verify the possibility of practical application of the present method.
机译：在本研究中，对液货舱中发生的三维晃动现象进行了数值模拟。 Navier-Stokes方程和连续性方程用于控制方程，并在矩形固定交错网格系统中使用有限差分法求解。自由表面的位置通过满足自由表面边界条件的标记密度方法定义，并且同时模拟气体和液体区域的流动。在自由表面附近的单元格上使用不规则的腿长和星形方法来计算压力。将计算结果与其他实验结果进行比较，验证了本数值方法的一致性，吻合性较好。此外，计算了在实际大小的船舶的部分填充的液体罐内规则地和不规则地振荡的流动特性，以验证本方法的实际应用的可能性。

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