| Abstract: | An unstructured mesh finite volume discretisation method for simulating diffusion inanisotropic media in two-dimensional space is discussed.This technique is considered as anextension of the fully implicit hybrid control-volume finite-element method and it retainsthe local continuity of the flux at the control volume faces.A least squares function recon-struction technique together with a new flux decomposition strategy is used to obtain anaccurate flux approximation at the control volume face,ensuring that the overall accuracyof the spatial discretisation maintains second order.This paper highlights that the newtechnique coincides with the traditional shape function technique when the correction termis neglected and that it significantly increases the accuracy of the previous linear schemeon coarse meshes when applied to media that exhibit very strong to extreme anisotropyratios.It is concluded that the method can be used on both regular and irregular meshes,and appears independent of the mesh quality. |
