A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence
A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence
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一类可压缩湍流DNS低色散可控耗散有限差分格式
DOI：
10.1016/j.jcp.2011.02.038
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发表时间：
2011-06
影响因子：
4.1
通讯作者：
Larricq C
中科院分区：
文献类型：
--
作者：
Sun Zhensheng;Ren Yuxin;Larricq C
本文提出了一类有限差分格式，它在光滑区域具有低色散和可控耗散，在间断附近具有鲁棒的激波捕捉能力。首先，给出了半离散差分格式具有独立色散和耗散的充分条件。这一条件使得一种新的方法，分别优化有限差分格式的耗散和色散特性，从而获得了一类具有最小色散和可控耗散的格式。其次，为了捕捉激波，将其中一种格式作为具有对称展度的韦诺格式的线性部分，构造了一种改进的韦诺格式。最后，将改进的韦诺格式与线性WENO格式相结合，形成一种新的混合格式。该方案具有准确性、灵活性和鲁棒性。几个基准测试用例的解决方案所提出的计划的准确性和分辨率进行了测试。通过对等温壁面间可压缩湍流槽道流动的直接数值模拟，进一步验证了该格式的性能。
In this paper, a class of finite difference schemes which achieves low dispersion and controllable dissipation in smooth region and robust shock-capturing capabilities in the vicinity of discontinuities is presented. Firstly, a sufficient condition for semi-discrete finite difference schemes to have independent dispersion and dissipation is derived. This condition enables a novel approach to separately optimize the dissipation and dispersion properties of finite difference schemes and a class of schemes with minimized dispersion and controllable dissipation is thus obtained. Secondly, for the purpose of shock-capturing, one of these schemes is used as the linear part of the WENO scheme with symmetrical stencils to constructed an improved WENO scheme. At last, the improved WENO scheme is blended with its linear counterpart to form a new hybrid scheme for practical applications. The proposed scheme is accurate, flexible and robust. The accuracy and resolution of the proposed scheme are tested by the solutions of several benchmark test cases. The performance of this scheme is further demonstrated by its application in the direct numerical simulation of compressible turbulent channel flow between isothermal walls.
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DOI：
10.1002/1097-0363(20010330)35:6
发表时间：
2000-06
影响因子：
1.8
作者：
A. Dagan
通讯作者：
A. Dagan
影响因子：
4.1
作者：
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通讯作者：
CHAKRAVARTHY, SR
影响因子：
4.1
作者：
Jiang, GS;Shu, CW
通讯作者：
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DOI：
10.1016/j.jcp.2006.07.009
发表时间：
2006-12
期刊：
J. Comput. Phys.
影响因子：
--
作者：
S. Pirozzoli
通讯作者：
S. Pirozzoli
DOI：
10.1002/(sici)1097-0363(19990130)29:2
发表时间：
1999-01
影响因子：
1.8
作者：
L. Gamet;F. Ducros;F. Nicoud;T. Poinsot
通讯作者：
L. Gamet;F. Ducros;F. Nicoud;T. Poinsot