Evaluation of breaking wave effects in liquid sloshing problems: ANCF/SPH comparative study

Evaluation of breaking wave effects in liquid sloshing problems: ANCF/SPH comparative study
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DOI:
10.1007/s11071-019-04927-5
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发表时间:
2019-07
期刊:
影响因子:
5.6
通讯作者:
Mohammed M. Atif;S. Chi;E. Grossi;A. Shabana
Mohammed M. Atif;S. Chi;E. Grossi;A. Shabana
中科院分区:
工程技术2区
文献类型:
--
作者:
Mohammed M. Atif;S. Chi;E. Grossi;A. Shabana

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本文主要研究破碎波在液体晃动问题中的作用。两个根本不同的方法,即光滑粒子流体动力学(SPH)和有限元(FE)绝对节点坐标公式(ANCF),被用来描述液体晃动响应在几个晃动的情况。SPH方法是一种无网格的数值技术,通常用于捕获流体和固体力学问题中的非常大的位移。ANCF有限元,另一方面,可以用来开发一个非增量的解决方案的过程中,适用于进行大旋转和大变形的柔性体的非线性分析。这两种方法之间的根本区别和各自的优点和局限性进行了讨论。采用溃坝和晃荡水池两个基准问题,对不同晃荡情况下的SPH/ANCF进行了详细的定量比较研究。虽然一个很好的协议之间的ANCF和SPH收敛的解决方案的溃坝问题,在晃动槽问题的SPH解决方案低估了振幅的振荡的流体质心和波高在选定的探测点。由于一个ANCF单元可以捕获复杂的形状,在这两个问题中所需的自由度比SPH模型少近40倍。ANCF模型的使用导致的CPU的70%和25%,分别在溃坝和晃荡罐的问题,节省。在坦克的问题的情况下,轻,中度和严重的湍流的影响进行了检查。使用这两种方法计算流体质心的位置,并使用参考解析解验证所获得的结果。利用快速傅立叶变换(FFT)计算了质心的功率谱密度,研究了破碎波的影响。结果表明,在轻、中度湍流情况下,ANCF模型能够准确地平均流体的惯性特性,所得解与SPH解吻合较好。另一方面,在严重湍流的情况下,由于流体混合和波浪破碎而产生的机械能耗散(只能使用SPH方法捕获)抑制了晃动振荡。
This paper is focused on evaluating the effect of breaking waves in liquid sloshing problems. Two fundamentally different approaches, namely thesmoothed particle hydrodynamics(SPH) and the finite element (FE)absolute nodal coordinate formulation(ANCF), are used to describe the liquid sloshing response in several sloshing scenarios. The SPH method is a mesh-free numerical technique often used to capture very large displacements in fluid and solid mechanics problems. ANCF finite elements, on the other hand, can be used to develop a non-incremental solution procedure, suited for the nonlinear analysis of flexible bodies undergoing large rotation and large deformation. The fundamental differences between the two approaches and the advantages and limitations of each are discussed. Two benchmark problems, thedam breakandsloshing tank, are used to perform a detailed SPH/ANCF quantitative comparative study in different sloshing scenarios. While a good agreement is found between the ANCF and SPH converged solutions for the dam break problem, in the sloshing tank problem the SPH solution underpredicts the amplitude of oscillation of the fluid center of mass and the wave height at a selected probe point. Because one ANCF element can capture complex shapes, nearly 40 times fewer degrees of freedom than the SPH model are needed in both problems. The use of the ANCF models leads to a CPU saving of 70% and 25% in the broken dam and sloshing tank problems, respectively. In the case of the tank problem, the effect of light, moderate, and severe turbulence is examined. The position of the fluid center of mass is computed using the two approaches, and the results obtained are verified using a reference analytical solution. The power spectral density of the center of mass is evaluated using the fast Fourier transform (FFT) to study the effect of breaking waves. The results show that in the case of light and moderate turbulence, the ANCF model allows for accurately averaging the fluid inertia properties, and the obtained solutions are in good agreement with the SPH solutions. In the case of severe turbulence, on the other hand, the mechanical energy dissipation due to fluid mixing and wave breaking, which can only be captured using the SPH method, damps out the sloshing oscillations.