国家自然科学基金(10572083)

作品数：6被引量：7H指数：2
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Nonlinear dynamical systems and bistability in linearly forced isotropic turbulence
《Acta Mechanica Sinica》2013年第6期823-826,共4页Zheng Ran Xing-Jie Yuan 
supported by the National Natural Science Foundation of China(11172162,10572083)
In this paper, we present an extensive study of the linearly forced isotropic turbulence. By using analytical method, we identify two parametric choices, of which they seem to be new as far as our knowledge goes. We p...
关键词：Isotropic turbulence Nonlinear dynamical system Karman-Howarth equation 
Multiscales and cascading in isotropic turbulence被引量：5
《Chinese Science Bulletin》2011年第27期2889-2892,共4页RAN Zheng 
supported by the National Natural Science Foundation of China (90816013 and 10572083);the State Key Laboratory for Complexity and Turbulence Research
The explicit mapping method is used to analyze the nonlinear dynamical behavior for cascade in isotropic turbulence. This deductive scale analysis is shown to provide the first visual evidence of the celebrated Richar...
关键词：各向同性湍流 级联过程 STOKES方程 倍周期分岔 动力学行为 映射方法 尺度分析 混沌行为 
Entropy and weak solutions in the lattice Bhatnagar-Gross-Krook model
《Chinese Physics B》2011年第11期371-375,共5页冉政 许宇鹏 
supported by the National Natural Science Foundation of China(Grant Nos.90816013 and 10572083)
We derive the entropy functions whose local equilibria are suitable to recover the Euler-like equations in the framework of the lattice Boltzmann method. Numerical examples are also given, which are consistent with th...
关键词：lattice Boltzmann method ENTROPY weak solution 
Second-order relative exponent of isotropic turbulence
《Theoretical & Applied Mechanics Letters》2011年第3期74-77,共4页Shuxiao Wan,and Zheng Ran~(a) Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China 
supported by the National Natural Science Foundation of China(90816013,10572083);also supported by State Key Laboratory for Turbulence and Complex System
Theoretical results on the scaling properties of turbulent velocity fields are reported in this letter.Based on the Kolmogorov equation and typical models of the second-order statistical moments (energy spectrum and t...
关键词：isotropic turbulence structure function EES scaling exponent 
Single point velocity distributions in homogeneous isotropic turbulence
《Chinese Physics B》2009年第10期4360-4365,共6页燕秀林 冉政 
Project supported by the National Natural Science Foundation of China (Grant Nos 90816013 and 10572083)
The starting point for this paper lies in the results obtained by Tatsumi （2004） for isotropic turbulence with the self-preserving hypothesis. A careful consideration of the mathematical structure of the one-point v...
关键词：isotropic turbulence probability distribution function 
Thermal equation of state for lattice Boltzmann gases被引量：2
《Chinese Physics B》2009年第6期2159-2167,共9页冉政 
Project supported by the National Natural Science Foundation of China (Grant Nos 90816013 and 10572083);Shanghai Leading Academic Discipline Project,China (Grant No Y0103)
The Galilean invariance and the induced thermo-hydrodynamics of the lattice Boltzmann Bhatnagar-Gross-Krook model are proposed together with their rigorous theoretical background. From the viewpoint of group invarianc...
关键词：lattice Boltzmann method thermal equation of state Galilean invariance 
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