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A second order control-volume finite-element least-squares strategy for simulating diffusion in strongly anisotropic media

Pasdunkorale Arachchige, Jayantha & Turner, Ian (2005) A second order control-volume finite-element least-squares strategy for simulating diffusion in strongly anisotropic media. Journal of Computational Mathematics, 23(1), pp. 1-16.

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      Abstract

      An unstructured mesh �nite volume discretisation method for simulating di�usion in anisotropic media in two-dimensional space is discussed. This technique is considered as an extension of the fully implicit hybrid control-volume �nite-element method and it retains the local continuity of the ux at the control volume faces. A least squares function recon- struction technique together with a new ux decomposition strategy is used to obtain an accurate ux approximation at the control volume face, ensuring that the overall accuracy of the spatial discretisation maintains second order. This paper highlights that the new technique coincides with the traditional shape function technique when the correction term is neglected and that it signi�cantly increases the accuracy of the previous linear scheme on coarse meshes when applied to media that exhibit very strong to extreme anisotropy ratios. It is concluded that the method can be used on both regular and irregular meshes, and appears independent of the mesh quality.

      Impact and interest:

      16 citations in Scopus
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      ID Code: 23359
      Item Type: Journal Article
      Keywords: Error Correction Form, Shape Functions, Gradient Reconstruction, Flux-approximation
      ISSN: 0254-9409
      Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
      Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > INTERDISCIPLINARY ENGINEERING (091500) > Heat and Mass Transfer Operations (091505)
      Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
      Copyright Owner: Copyright 2005 Please consult the authors.
      Deposited On: 17 Jun 2009 23:51
      Last Modified: 01 Mar 2012 11:54

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