马超, 魏承, 汤亮, 赵阳. 绝对节点坐标列式流体单元建模方法及在液体晃动问题中的研究[J]. 工程力学, 2015, 32(12): 58-67. DOI: 10.6052/j.issn.1000-4750.2014.08.0708
引用本文: 马超, 魏承, 汤亮, 赵阳. 绝对节点坐标列式流体单元建模方法及在液体晃动问题中的研究[J]. 工程力学, 2015, 32(12): 58-67. DOI: 10.6052/j.issn.1000-4750.2014.08.0708
MA Chao, WEI Cheng, TANG Liang, ZHAO Yang. A STUDY OF LAGRANGIAN FLUID ELEMENT BASED ON ABSOLUTE NODAL COORDINATE FORMULATION AND ITS APPLICATION IN LIQUID SLOSHING[J]. Engineering Mechanics, 2015, 32(12): 58-67. DOI: 10.6052/j.issn.1000-4750.2014.08.0708
Citation: MA Chao, WEI Cheng, TANG Liang, ZHAO Yang. A STUDY OF LAGRANGIAN FLUID ELEMENT BASED ON ABSOLUTE NODAL COORDINATE FORMULATION AND ITS APPLICATION IN LIQUID SLOSHING[J]. Engineering Mechanics, 2015, 32(12): 58-67. DOI: 10.6052/j.issn.1000-4750.2014.08.0708

绝对节点坐标列式流体单元建模方法及在液体晃动问题中的研究

A STUDY OF LAGRANGIAN FLUID ELEMENT BASED ON ABSOLUTE NODAL COORDINATE FORMULATION AND ITS APPLICATION IN LIQUID SLOSHING

  • 摘要: 计算流体力学的建模方法主要采用欧拉描述,而多体系统动力学的建模方法主要采用拉格朗日描述。与欧拉描述关注于流过空间固定点或固定体积上的流场状态不同,绝对节点坐标列式流体单元采用拉格朗日描述,能够跟踪流体物质点,建立流体与多体系统的统一描述。该文在绝对节点坐标列式流体单元方法基础上,提出和完善单元建模理论,并使用绝对节点坐标列式流体单元实现了对流体系统的建模,并首次将绝对节点坐标列式流体单元应用于液体晃动分析,初步验证了理论的正确性和可行性。仿真结果表明,在单元数量较少情况下,绝对节点坐标列式流体单元可以满足晃动计算需求。

     

    Abstract: Fluid dynamics formulations are mainly based on the Eulerian approach, while multi-body systems formulations are mainly based on the Lagrangian approach. Different from the conventional methods based on Eulerian approach, which focus on fluid status by a certain spatial fixation point or a fixed control volume, the absolute nodal coordinate formulation fluid element adopts Lagrangian approach, which can follow fluid material points and establish an unified description of fluid and multi-body systems. The absolute nodal coordinate formulation fluid element approach is derived and improved, and used to model the fluid systems. The absolute nodal coordinate formulation fluid element is also applied to the analysis of liquid sloshing for the first time, and then the accuracy and feasibility are tested. Some simulations are provided and the result shows that, in the case with less number of elements, the absolute nodal coordinate formulation fluid element can meet the requirement of sloshing calculation.

     

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