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Uniformly high-order schemes on arbitrary unstructured meshes for advection–diffusion equations

✍ Scribed by V.A. Titarev; D. Drikakis

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
278 KB
Volume
46
Category
Article
ISSN
0045-7930

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✦ Synopsis

The paper presents a linear high-order method for advection-diffusion conservation laws on threedimensional mixed-element unstructured meshes. The key ingredient of the method is a reconstruction procedure in local computational coordinates. Numerical results illustrate the convergence rates for the linear equation and a non-linear hyperbolic system with diffusion terms for various types of meshes.

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