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Corrections to the scaling of the second-order structure function in isotropic turbulence

Acta Mechanica Sinica 2010年第2期26卷 151-157页

作者： Le Fang Wouter J. T. Bos Xiaozhou Zhou Liang Shao Jean-Pierre Bertoglio Laboratoire de Mecanique des Fluides et d'Acoustique Universit6 de Lyon Ecole centrale de Lyon 69134 Ecully France Department of Mechanical Engineering Center for Biomedical Engineering Research University of Delaware 126 Spencer Laboratory Newark DE 19716 USA

The approach of Obukhov assuming a constant skewness was used to obtain analytical corrections to the scaling of the second order structure function, starting from Kolmogorov＇s 4/5 law. These corrections can be used in model applications in which explicit expressions, rather than numerical solutions are needed. The comparison with an interpolation formula proposed by Batchelor, showed that the latter gives surprisingly precise results. The modification of the same method to obtain analytical corrections to the scaling law, taking into account the possible corrections induced by intermittency, is also proposed.

关键词： Scaling law · Structure function ·Isotropic turbulence

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A second-order numerical method for elliptic equations with singular sources using local flter

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Chinese Journal of Aeronautics 2013年第6期26卷 1398-1408页

作者： Jiang Yongsong Fang Le Jing Xiaodong Sun Xiaofeng Francis Leboeuf Department of Compressor Design AVIC Shenyang Engine Design and Research Institute School of Energy and Power Engineering Beihang University Ecole Centrale de Pe'kin Laboratoire International Associe'Beihang University MOE Key Laboratory of High-speed Railway Engineering Southwest Jiaotong University Ecole Centrale de Lyon Laboratoire de Me'canique des Fluides et d’Acoustique Universite' de LyonEcully 69134France

The presence of Dirac delta function in differential equation can lead to a discontinuity,which may degrade the accuracy of related numerical *** improve the accuracy,a secondorder numerical method for elliptic equations with singular sources is introduced by employing a local kernel *** this method,the discontinuous equation is convoluted with the kernel function to obtain a more regular *** the original equation is replaced by this fltered equation around the singular points,to obtain discrete numerical *** unchanged equations at the other points are discretized by using a central difference scheme.1D and 2D examples are carried out to validate the correctness and accuracy of the present *** results show that a second-order of accuracy can be obtained in the fltering framework with an appropriate integration ***,the present method does not need any jump condition,and also has extremely simple form that can be easily extended to high dimensional cases and complex geometry.

关键词： Computational aerodynamics Immersed boundary method Immersed interface method Kernel flter Singular source

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