The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)316-330
Journal / PublicationApplied Mathematical Modelling
Online published23 Feb 2019
Publication statusPublished - Jul 2019


In this paper we investigate the application of the generalized finite difference method (GFDM) to three-dimensional (3D) transient heat conduction in anisotropic composite (layered) materials. In our computations, the Krylov deferred correction (KDC) method, a pseudo-spectral type time-marching technique, is introduced to perform temporal discretization in time-domain. The KDC method allows discretizing the temporal direction using relatively large time-steps, making the method very promising for dynamic simulations, particularly when high precision is desired. A multi-domain GFDM scheme is also employed where the composite material considered is decomposed into several sub-domains and, in each sub-domain, the solution is approximated by using the GFDM expansion. On the sub-domain interface, compatibility of temperatures and normal heat fluxes is imposed. The method is tested on several benchmark numerical examples and its relative merits and disadvantages are discussed.

Research Area(s)

  • Anisotropic heat conduction, Generalized finite difference method, Krylov-deferred correction method, Layered materials, Meshless methods