A numerical method for solving heat conduction problems of heterogeneous and anisotropic materials

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Abstract

A control-volume finite-difference (CVFD) scheme for solving heat conduction problems of heterogeneous and anisotropic material is given. The control volumes are constructed around triangle vertices and Voronoi polygon. It is assumed that the properties of material are uniform, and the temperature varies linearly inside the control volumes, which overcomes the shortcomings of control-volume finite-element (CVFE) method about that the temperature gradients are not identical. CVFD method is suitable for complicated boundaries and facilitate partial densification, and it can satisfy local equilibrium. When all the basic elements are right-angled triangles, this scheme degenerates to finite differential scheme used with structured grid. So it is easy to be transferred to presented computation software.

Original languageEnglish
Pages (from-to)59-61
Number of pages3
JournalJournal of the University of Petroleum, China (Natural Science Edition)
Volume23
Issue number6
StatePublished - Dec 1999

Keywords

  • Anisotropic
  • Controlled volume
  • Difference scheme
  • Finite difference method
  • Heat conduction
  • Heterogeneous
  • Material
  • Numerical solution

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