一种耦合SPH方法求解涉及流固耦合的热传导问题  

An integrative SPH method for heat transfer problems involving fluid-structure interaction

作　　者：唐晓静 张驰 Oskar Haidn 胡湘渝 Xiaojing Tang;Chi Zhang;Oskar Haidn;Xiangyu Hu(TUM School of Engineering and Design,Technical University of Munich,Garching,85748,Germany)

机构地区：[1]TUM School of Engineering and Design,Technical University of Munich,Garching,85748,Germany

出　　处：《Acta Mechanica Sinica》2023年第2期71-85,共15页力学学报（英文版）

基　　金：supported by the China Scholarship Council (Grant No.201906120034);Deutsche Forschungsge-meinschaft (DFG)for their sponsorship of this research (Grant No.DFG HU1527/12-4).

摘　　要：由于流体动力学、固体运动学和传热的共存,热-流体-结构相互作用(TFSI)问题通常在基于网格的方法中造成数值复杂性.本文介绍了一种在材料界面处具有强耦合方案的耦合光滑粒子流体动力学(SPH)求解器来研究TFSI问题.本方法耦合了一些有效的技术,包括固体动力学拉格朗日公式中的核修改和流体结构相互作用(FSI)的多时间步进,以提高计算精度和效率;还应用基于位置的Verlet积分格式来实现严格的动量守恒;两级龙格-库塔积分方案用于求解热扩散方程.本文执行了两个模拟案例来测试本方法,包括微通道中传热的数值示例和FSI案例,在加热通道流中使用不同的涡流发生器研究和量化传热性能.本SPH-TFSI求解器获得的详细热量和涡流信息表明,FSI通过涡流与边界层内的流体相互作用来加强传热.这项研究证明了无网格SPH方法在涉及具有大结构变形的涡流发生器的工业传热应用中的多功能性和潜力.Thermal-fluid-structure interaction(TFSI)problems usually pose numerical complications in grid-based methods because of the coexistence of fluid dynamics,solid kinematics and heat transfer.In this paper,an integrated smoothed particle hydrodynamics(SPH)solver with strong coupling scheme at the material interface is introduced to investigate the TFSI problem.Some efficient techniques inclusive of kernel modification in the total Lagrangian formulation for solid dynamics and multi-time stepping for fluid structure interaction(FSI)are integrated to increase the computational accuracy and efficiency.Also the position-based Verlet scheme is applied to achieve the strict conservation of momentum.A two-stage Runge-Kutta integrator scheme is used to solve the heat diffusion equation.Two simulation cases are performed to test the present method including the numerical examples of heat transfer in a micro-channel and a FSI case.The heat transfer performance is investigated and quantified with different vortex generators in a heated channel flow.The detailed heat and vortex information obtained by the present SPH TFSI solver indicates that the FSI reinforces the heat transfer via vortexes interaction with fluid within the boundary layer.This study demonstrates the versatility and potential of the mesh-free SPH approach for industrial heat transfer applications involving vortex generators with large structure deformation.

关 键 词：Smoothed particle hydrodynamics Heat transfer analysis Thermal-fuid-structure interaction Vortex generator 

分 类 号：O175[理学—数学]