Titarev, Vladimir A.Drikakis, Dimitris2014-05-302014-05-302011-07Vladimir A. Titarev and Dimitris Drikakis. Uniformly high-order schemes on arbitrary unstructured meshes for advection diffusion. Computers & Fluids, Volume 46, Issue 1, July 2011, Pages 467–471. 10th ICFD Conference Series on Numerical Methods for Fluid Dynamics (ICFD 2010)0045-7930http://dspace.lib.cranfield.ac.uk/handle/1826/8482The paper presents a linear high-order method for advection-di®usion conser- vation laws on three dimensional mixed-element unstructured meshes. The key ingredient of the method is a reconstruction procedure in local compu- tational coordinates. Numerical results illustrate the convergence rates for the linear equation and a non-linear hyperbolic system with di®usion terms for various types of meshes.enunstructuredtetrahedralhexahedralprismaticpyramidalmixed-elementvery high-orderdi®usiveArticle