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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

A·马拉第普, N·万苏法克, P·德乔姆凡. 四段式有限元法分析热耦合的流体-固体相互作用问题[J]. 应用数学和力学, 2012, 33(1): 94-112. doi: 10.3879/j.issn.1000-0887.2012.01.008
引用本文: A·马拉第普, N·万苏法克, P·德乔姆凡. 四段式有限元法分析热耦合的流体-固体相互作用问题[J]. 应用数学和力学, 2012, 33(1): 94-112. doi: 10.3879/j.issn.1000-0887.2012.01.008
A.Malatip, N.Wansophark, P.Dechaumphai. Fractional Four-Step Finite Element Method for Analysis of Thermally Coupled Fluid-Solid Interaction Problems[J]. Applied Mathematics and Mechanics, 2012, 33(1): 94-112. doi: 10.3879/j.issn.1000-0887.2012.01.008
Citation: A.Malatip, N.Wansophark, P.Dechaumphai. Fractional Four-Step Finite Element Method for Analysis of Thermally Coupled Fluid-Solid Interaction Problems[J]. Applied Mathematics and Mechanics, 2012, 33(1): 94-112. 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
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

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

  • 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.
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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

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