系泊型浮体运动的无网格法数值模型

曹文瑾; 孙中国; 席光

doi:10.7652/xjtuxb201503011

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系泊型浮体运动的无网格法数值模型

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- 系泊型浮体运动的无网格法数值模型
- Numerical Models of Moored Floating Bodies Using Meshless Method
- 西安交通大学学报 2015年49卷第3期页码：62-66+142
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2014-07-29。作者简介: 曹文瑾(1992—),男,硕士生;席光(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51106125,51236006);中央高校基本科研业务费专项资金资助项目(2014jdhz41)
- DOI：10.7652/xjtuxb201503011
  中图分类号： O351.2
- 网络首发：2015-03-10，
  
  纸质出版：2015
- 稿件说明：
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曹文瑾, 孙中国, 席光. 系泊型浮体运动的无网格法数值模型[J]. 西安交通大学学报, 2015,49(3):62-66+142.

Numerical Models of Moored Floating Bodies Using Meshless Method[J]. 2015, 49(3): 62-66+142.
曹文瑾, 孙中国, 席光. 系泊型浮体运动的无网格法数值模型[J]. 西安交通大学学报, 2015,49(3):62-66+142. DOI： 10.7652/xjtuxb201503011.

Numerical Models of Moored Floating Bodies Using Meshless Method[J]. 2015, 49(3): 62-66+142. DOI： 10.7652/xjtuxb201503011.

摘要

针对系泊型浮体在运动中可能出现的绳索保持绷紧、由绷紧变松弛、保持松弛和由松弛变绷紧等4种状态

基于移动粒子半隐式法基本流固耦合模型

提出了一种刚体运动状态判定机制。对浮体受到绳索牵引而运动受限的情况提出了一种处理方法:按体积分的形式计算流体对浮体的压力、重力和它们的力矩

求解刚体动量方程和转动量方程得到浮体的速度和角速度

浮体因受到绳索作用而径向速度降为零

浮体以切向速度绕绳索固定端旋转。对用单绳系泊的二维浮体在孤立波中的运动进行了数值模拟

捕捉到了上述4种运动状态

可以观测到绳索保持绷紧时绳索与浮体的固连点的轨迹为一段圆弧。同时

浮体在水平、竖直和转动方向3个自由度的运动信息均可以从计算结果中提取研究。数值模拟结果符合物理原理

模型的建立扩展了移动粒子半隐式法的应用范围

为模拟固体运动受限制的流固耦合问题提供了思路。

Abstract

Four states may appear during a moored floating body's movement(the rope keeps strained

strained first and then slaked

keeps slacked

slacked first and then strained). Based on the moving particle semi-implicit(MPS)method and combined with fluid-structure interaction model

a method to judge the floating body's state is put forward. To simulate the movement of a moored floating body when the rope is strained

a new treatment is introduced. First

calculate the external forces applied by fluid and gravity and their torques using volume integration model and then the estimated value of the velocity and angular velocity of the floating body can be obtained by solving the momentum equation and angular momentum equation. Due to the pulling force applied by the rope in radial direction

the radial component of the estimated velocity is eliminated. The floating body rotates around the fixed end of the rope at a speed equal to the tangential component of the estimated velocity. Utilizing this algorithm

the dynamic response to the movement of a 2-D floating body moored by a single rope in a solitary wave is simulated

and the four states previously mentioned are captured. The trace of the joint point of the rope and floating body during the period when the rope keeps strained is an arc. The data including the movements in the horizontal

vertical and rotation directions can be gained from the calculation. The results agree well with the physical principle. It appears that our finding not only extends the application scope of MPS method

but also provides a new train of thought in simulating the fluid-structure interaction problems of solid bodies whose movement is limited.

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references

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