非一致性界面热流固耦合作用的整体求解

Monolithic Approach to Thermal Fluid Structure Interaction With Non-Conforming Interfaces

提出了非一致性界面热流固耦合作用整体求解的一种方法.热流体求解基于Boussinesq假设和不可压缩的Navier-Stokes方程.流体区域的运动采用任意Lagrange-Euler(ALE)方法.拟固体元方法实现流体区域的变形.使用几何非线性的热弹性动力学描述固体运动.为了保证界面处应力和传热的平衡,采用了基于Gauss积分点的数据交换方法,对热流固耦合最终形成的强非线性方程实现整体求解.数值实例分析表明该方法的健壮性和有效性.

A monolithic approach to thermal fluid structure interaction with non-conforming in- terfaces was presented. The thermal viscous flow was governed by the Boussinesq approxima- tion and the incompressible Navier-Stokes equations. The motion of the fluid domain was ac- counted for by an arbitrary Lagrangian-Eulerian （ALE） strategy. A pseudo-solid formulation was used to manage the deformation of the fluid domain. The structure was described by geo- metrically nonlinear thermoelastic dynamics. An efficient data transfer strategy based on Gauss points was proposed to guarantee equilibrium of the stresses and heat along the interface. The resulting strongly coupled set of non-linear equations for fluid, structure, heat was solved by a monolithic solution procedure. Numerical example was presented to demonstrate the robust- ness and efficiency of the methodology.