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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.
This paper presents a method for the comprehensive analysis of fluid-body-heat-structure, in which the heat conduction in the solid is coupled with the convection in the viscous fluid and thus generates thermal stress in the solid.Using the four-section finite element method and the streamline headwind The Petrov-Galerkin method is used to analyze the hot-viscous flow, and the Galerkin method is used to analyze the heat conduction and thermal stress in the solid. The second-order semi-implicit Crank-Nicolson scheme is applied to time integration to improve the linearization efficiency of the nonlinear equations. The finite element formula, using a 3-node triangular element, uses the same order interpolation function for all variables: the velocity component of the fluid, the pressure, the temperature, and the displacement of the solid. The main advantage of doing this is that the fluid-solid interface The results of several test problems show that this finite element method is effective and can deepen the understanding of the phenomenon of convection-body-heat-structure interaction.