Analysis of stabilized higher-order finite element approximation of nonstationary and nonlinear convection-diffusion-reaction equations

被引：23
|
作者：
Bause, Markus [1 ]
Schwegler, Kristina [1 ]
机构：
[1] Helmut Schmidt Univ, Univ Fed Armed Forces Hamburg, Dept Mech Engn, D-22043 Hamburg, Germany
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2012年 / 209卷
关键词：
Time dependent convection-diffusion-reaction equations; Higher order finite element methods; Small diffusion parameter; SUPG and shock capturing stabilization; Error estimates;
D O I：
10.1016/j.cma.2011.10.004
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work the numerical approximation of unsteady and nonlinear convection-diffusion-reaction models with small diffusion by higher order finite element methods is studied. Streamline upwind Petrov-Galerkin (SUPG) stabilization together with anisotropic shock capturing as an additional stabilization in crosswind direction are used. Error analyses and the parameter design given in the literature are generalized to the case of nonlinear reaction rates. By numerical studies it is illustrated that the combination of these approximation techniques reduce spurious oscillations in crosswind direction and improve the accuracy of simulations. (C) 2011 Elsevier B.V. All rights reserved.
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页码：184 / 196
页数：13
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