Uniformly high-order schemes on arbitrary unstructured meshes for advection diffusion
Date
2011-07
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Volume Title
Publisher
Elsevier
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Article
ISSN
0045-7930
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Citation
Vladimir 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)
Abstract
The 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.
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Keywords
unstructured, tetrahedral, hexahedral, prismatic, pyramidal, mixed-element, very high-order, di®usive