四段式有限元法分析热耦合的流体-固体相互作用问题

A·马拉第普; N·万苏法克; P·德乔姆凡

doi:10.3879/j.issn.1000-0887.2012.01.008

四段式有限元法分析热耦合的流体-固体相互作用问题

doi: 10.3879/j.issn.1000-0887.2012.01.008

国立金属和材料技术中心计算机辅助研究所,巴吞他尼 1212,泰国;

基金项目: 泰国研究基金资助课题；泰国高等教育委员会资助课题

详细信息

中图分类号: O175.2; O242.21
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出版历程
- 收稿日期: 2010-12-16
- 修回日期: 2011-08-17
- 刊出日期: 2012-01-15

Fractional Four-Step Finite Element Method for Analysis of Thermally Coupled Fluid-Solid Interaction Problems

¹Computer-Aided Research University, National Metal and Materials Technology Center,Pathumthani 12120, Thailand;²Department of Mechanical Engineering, Faculty of Engineering, Chulalongkorn University, Patumwan, Bangkok 10330, Thailand

摘要

摘要: 给出了一种流（体）-热-结构综合的分析方法，固体中的热传导耦合了粘性流体中的热对流，因而在固体中产生热应力．应用四段式有限元法和流线逆风Petrov-Galerkin法分析热粘性流动，应用Galerkin法分析固体中的热传导和热应力．应用二阶半隐式Crank-Nicolson格式对时间积分，提高了非线性方程线性化后的计算效率．为了简化所有有限元公式，采用3节点的三角形单元，对所有的变量：流体的速度分量、压力、温度和固体的位移，使用同阶次的插值函数．这样做的主要优点是，使流体-固体介面处的热传导连接成一体．数个测试问题的结果表明，这种有限元法是有效的，且能加深对流（体）-热-结构相互作用现象的理解．
- 液体-固体相互作用 /
- 有限元法 /
- 四段式
Abstract: An integrated fluid-thermal-structural analysis approach, where the heat conduction in a solid was coupled with the heat convection in viscous flow of the fluid resulting in the thermal stress in the solid, was presented.The fractional four-step finite element method and streamline upwind Petrov-Galerkin method were used for the analysis of viscous thermal flow in the fluid whereas the analyses of heat transfer and thermal stress in solid were performed using the Galerkin method.The second-order semi-implicit Crank-Nicolson scheme was applied for time integration and the resulting nonlinear equations were linearized to improve the computational efficiency.The integrated analysis method employ the three-node triangular element with equal-order interpolation functions for all variables of the fluid velocity components, pressure, temperature and the solid displacements in order to simplify the overall finite element formulation.The main advantage of the presented method was to consistently couple heat transfer along the fluid-solid interface.Results from several tested problems illustrated the effectiveness of the presented finite element method that can provide insight into the integrated fluid-thermal-structural interaction phenomena.
- fluid-solid interaction /
- finite element method /
- fractional four steps

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参考文献(14)

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