Efficient Finite Element Heat Transfer Analysis by Decomposing a Domain and Radiation Boundaries

영역 및 복사 경계의 완전 분할을 통한 유한요소 열전달 해석의 효율화

  • Published : 2008.10.01


An efficient domain/boundary decomposition method is applied for heat transfer problems with non-linear thermal radiation boundaries. The whole domain of solids or structures is considered as set of subdomains, an interface, and radiation interfaces. In a variational formulation, simple penalty functions are introduced to connect an interface or radiation interfaces with neighboring subdomains that satisfy continuity conditions. As a result, non-linear finite element computations due to the thermal radiation boundaries can be localized within a few subdomains or radiation interfaces. Therefore, by setting up suitable solution algorithms for the governing finite element equations, the computational efficiency can be improved considerably. Through a set of numerical examples, these distinguishing characteristics of the present method are investigated in detail.


Domain/Boundary Decomposition;Thermal Radiation;Finite Element;Heat Transf


  1. Jaluria, Y. and Torrance, K. E., 2003, Computational Heat Transfer, 2nd Ed., Taylor & Francis, New York
  2. Bathe, K., 1996, Finite Element Procedures, Prentice Hall, Englewood Cliffs
  3. Laursen, T. A., 2002, Computational Contact and Impact Mechanics, Springer, New York
  4. Siegel, R. and Howell, J. R., 2002, Thermal Radiation Heat Transfer, 4th Ed., Taylor & Francis, New York
  5. Ryu, H. Y. and Shin, E. S., 2007, "Efficient Finite Element Analyses of Contact Problems by Domain/Boundary Decomposition Method," Trans. of the KSAS, Vol. 35, No. 5, pp. 404-411
  6. Farhat, C. and Roux, F. X., 1991, "A Method of Finite Element Tearing and Interconnecting and its Parallel Solution Algorithm," Int. J. Numer. Meth. Eng., Vol. 32, pp. 1205-1227
  7. Aminpour, M. A., Ransom, J. B. and McCleary, S. L., 1995, "A coupled Analysis Method for Structures with Independently Modelled Finite Element Sub-domains," Int. J. Numer. Meth. Eng., Vol. 38, pp. 3695-3718
  8. Pantano, A. and Averill, R. C., 2002, "A Penalty-Based Finite Element Interface Technology," Compu. & Struct., Vol. 80, pp. 1725-1748
  9. Kim, Y. U., 2008, "A Proposal of Domain/ Boundary Decomposition Method for Efficient Thermomechanical Finite Element Analysis," MS Thesis, Chonbuk National Univ
  10. Cho, M. H. and Kim. W. B., 2002, "A coupled Finite Element Analysis of Independently Modeled Substructures by Penalty Frame Method," KSME Int. J., Vol. 16, pp. 1201-1210