Conservation properties for the Galerkin and stabillsed forms of the advection-diffusion and incompressible Navier-Stokes equations
Conservation properties for the Galerkin and stabillsed forms of the advection-diffusion and incompressible Navier-Stokes equations
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DOI：
10.1016/j.cma.2004.06.034
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发表时间：
2005-01-01
影响因子：
7.2
通讯作者：
Wells, GN
中科院分区：
文献类型：
--
作者：
Hughes, TJR;Wells, GN
对连续Galerkin有限元方法的一个常见批评是它们缺乏守恒性。事实上，对于平流时的不可压缩流动来说，这可能是正确的。而不是保守。采用弱形式。然而。尽管违反了守恒，但出于准确性的考虑，平流形式往往是首选的。从这里可以看出，这一缺陷是很容易弥补的。对流形式的守恒程序可以从多尺度概念发展而来。结果。给出了求解平流扩散方程和不可压N-S方程的守恒稳定化有限元方法。(C)2004爱思唯尔B.V.保留所有权利。
A common criticism of continuous Galerkin finite element methods is their perceived lack of conservation. This may in fact be true for incompressible flows when advective. rather than conservative. weak forms are employed. However. advective forms are often preferred on grounds of accuracy despite violation of conservation. It is shown here that this deficiency can be easily remedied. and conservative procedures for advective forms can be developed from multiscale concepts. As a result. conservative stabilised finite element procedures are presented for the advection diffusion and incompressible Navier-Stokes equations. (C) 2004 Elsevier B.V. All rights reserved.