Numerical Stability Analysis for Fluid Structure Conjugate Heat Transfer on Moving Interface

doi:10.12068/j.issn.1005-3026.2016.02.016

Abstract

Abstract: The numerical stability of stable heat transfer along moving fluid-structure interface was investigated. Taking the Dirichlet-Robin conditions into account， the interface movement was designated by velocity. The most common configurations (finite volume method for fluid domain and finite element method for solid domain) were used to discretize the fluid-structure system and perform numerical computation， respectively. Great emphasis was put on stability of numerical treatments when the interface moving with the adoption of the Goudonov-Ryabenkii theory normal mode analysis method. An optimal curve composed of coupling coefficient and velocity was finally obtained， which verified that the discrete system would reach fastest convergence rate and definite stability if the values of coupling coefficient and velocity come from this curve. These conclusions will provide a reference for designers to select reasonable parameters during numerical simulation.

Key words: moving interface, conjugate heat transfer, combined boundary condition, stability analysis, normal mode

CLC Number:

TB61

ZHAO Qian-li， SUN Zhi-li， TONG Cao， CHAI Xiao-dong. Numerical Stability Analysis for Fluid Structure Conjugate Heat Transfer on Moving Interface[J]. Journal of Northeastern University Natural Science, 2016, 37(2): 222-226.

References

[1]郭崇志，肖乐.换热器流固传热边界数值模拟温度场的顺序耦合方法［J］.化工进展，2010，29(9):1615-1619.(Guo Chong-zhi，Xiao Le.A sequence coupling method for numerical simulation of temperature field in liquid-solid heat transfer boundary of a heat exchanger［J］.Chemical Industry and Engineering Process，2010，29(9):1615-1619.)
[2]李朝祥，陆钟武，蔡九菊.填充床内传热问题的数学统计分析法［J］.东北大学学报(自然科学版)，1998，19(5):484-487.(Li Chao-xiang，Lu Zhong-wu，Cai Jiu-ju.Mathematical statistics analyisis for heat transfer in packed bed［J］.Journal of Northeastern University(Natural Science)，1998，19(5):484-487.)
[3]陈良玉，李玉，王子金，等.传热边界逆解在高炉炉缸侵蚀诊断中的应用［J］.东北大学学报(自然科学版)，2009，30(8):1135-1138.(Chen Liang-yu，Li Yu，Wang Zi-jin，et al.Application of inverse solution to boundary of heat transfer in erosion diagnosis of blast furnace hearth［J］.Journal of Northeastern University(Natural Science)，2009，30(8):1135-1138.)
[4]Roe B，Haselbacher A，Geubelle P H.Stability of fluid-structure thermal simulations on moving grids［J］.International Journal for Numerical Methods in Fluids，2007，54(9):1097-1117.
[5]Roe B，Jaiman R，Haselbacher A，et al.Combined interface boundary condition method for coupled thermal simulations［J］.International Journal for Numerical Methods in Fluids，2008，57(3):329-354.
[6]Henshaw W D，Chand K K.A composite grid solver for conjugate heat transfer in fluid-structure systems［J］.Journal of Computational Physics，2009，228(10):3708-3741.
[7]Kazemi-Kamyab V，van Zuijlen A H，Bijl H.A high order time-accurate loosely-coupled solution algorithm for unsteady conjugate heat transfer problems［J］.Computer Methods in Applied Mechanics and Engineering，2013，264:205-217.
[8]Kazemi-Kamyab V，van Zuijlen A H，Bijl H.Accuracy and stability analysis of a second-order time-accurate loosely coupled partitioned algorithm for transient conjugate heat transfer problems［J］.International Journal for Numerical Methods in Fluids，2014，74(2):113-133.
[9]Roux F X，Garaud J D.Domain decomposition methods methodology with Robin interface matching conditions for solving strongly coupled fluid-structure problems［J］.International Journal for Multiscale Computational Engineering，2009，7(1):29-38.
[10]Errera M P，Chemin S.Optimal solutions of numerical interface conditions in fluid-structure thermal analysis［J］.Journal of Computational Physics，2013，245:431-455.
[11]Felippa C A，Park K C.Staggered transient analysis procedures for coupled mechanical systems:formulation［J］.Computer Methods in Applied Mechanics and Engineering，1980，24(1):61-111.
[12]Giles M B.Stability analysis of numerical interface conditions in fluid-structure thermal analysis［J］.International Journal for Numerical Mehods in Fluids，1997，25(4):421-436.