Modification of basis functions in high order discontinuous Galerkin schemes for advection equation

被引：3
|
作者：
Petrovskaya, N. B. [1 ]
Wolkov, A. V. [2 ]
Lyapunov, S. V. [2 ]
机构：
[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
[2] Cent Aerohydrodynam Inst, TsAGI Zhukovsky 140180, Moscow Region, Russia
来源：
APPLIED MATHEMATICAL MODELLING | 2008年 / 32卷 / 05期
关键词：
high order discretization; unstructured grids; discontinuous Galerkin; modified basis functions;
D O I：
10.1016/j.apm.2007.02.016
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
High order discontinuous Galerkin (DG) discretization schemes are considered for an advection boundary-value problem on 2-D unstructured grids with arbitrary geometry of grid cells. A number of test cases are developed to study the sensitivity of a high order DG scheme to local grid distortion. It will be demonstrated how to modify the formulation of a DG discretization for the advection equation. Our approach allows one to maintain the required accuracy on distorted grids while using a fewer number of basis functions for the solution approximation in order to save computational resources. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：826 / 835
页数：10
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