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

被引：12
|
作者：
Titarev, V. A. [1 ]
Drikakis, D. [1 ]
机构：
[1] Cranfield Univ, Dept Fluid Mech & Computat Sci, Cranfield MK43 0AL, Beds, England
来源：
COMPUTERS & FLUIDS | 2011年 / 46卷 / 01期
关键词：
Unstructured; Tetrahedral; Hexahedral; Prismatic; Pyramidal; Mixed-element; Very high-order; Diffusive; FINITE-VOLUME SCHEMES; SYSTEMS;
D O I：
10.1016/j.compfluid.2010.10.008
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The paper presents a linear high-order method for advection-diffusion conservation laws on three-dimensional 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. (C) 2010 Published by Elsevier Ltd.
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页码：467 / 471
页数：5
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