In this paper, we have introduced a shell-model of Kraichnan＇s passive scalar problem. Different from the original problem, the prescribed random velocity field is non-Gaussian and σ correlated in time, and its intr...In this paper, we have introduced a shell-model of Kraichnan＇s passive scalar problem. Different from the original problem, the prescribed random velocity field is non-Gaussian and σ correlated in time, and its introduction is inspired by She and Levveque （Phys. Rev. Lett. 72, 336 （1994））. For comparison, we also give the passive scalar advected by the Gaussian random velocity field. The anomalous scaling exponents H（p） of passive scalar advected by these two kinds of random velocities above are determined for structure function with values of p up to 15 by Monte Carlo simulations of the random shell model, with Gear methods used to solve the stochastic differential equations. We find that the H（p） advected by the non-Gaussian random velocity is not more anomalous than that advected by the Gaussian random velocity. Whether the advecting velocity is non-Gaussian or Gaussian, similar scaling exponents of passive scalar are obtained with the same molecular diffusivity.展开更多
With the concept that culture was the product of certain natural environment and social condition, as there were less researches on response of community culture of She Nationality to geological space and on influence...With the concept that culture was the product of certain natural environment and social condition, as there were less researches on response of community culture of She Nationality to geological space and on influence of geological space on She community culture, the study took community culture of She Nationality in East Fujian as the research subject, and analyzed distribution of She Nationality. By taking relevant documents on She Nationality of East Fujian Province for reference, through analysis of characteristic culture and geopolitical background of She community, it was considered that characteristic culture lied in united and friendly community culture, rough and practical sports culture, ancient medicine culture, food culture of mountainous feature and architectural culture. Furthermore, it analyzed response of She community culture to geological space from the perspectives of regional space, geological environment and climate; and pointed out the far-reaching influence of geological space on She community culture.展开更多
基金Project supported by the Major Program of the National Natural Science Foundation （Grant No 10335010） and the National Natural Science Foundation-the Science Foundation of China Academy of Engineering Physics NSAF （Grant No 10576005）.Acknowledgement We are grateful to Professor She Zhen-Su for useful suggestions and Dr Sun Peng and Dr Zhang Xiao- Qiang for extensive discussion.
文摘In this paper, we have introduced a shell-model of Kraichnan＇s passive scalar problem. Different from the original problem, the prescribed random velocity field is non-Gaussian and σ correlated in time, and its introduction is inspired by She and Levveque （Phys. Rev. Lett. 72, 336 （1994））. For comparison, we also give the passive scalar advected by the Gaussian random velocity field. The anomalous scaling exponents H（p） of passive scalar advected by these two kinds of random velocities above are determined for structure function with values of p up to 15 by Monte Carlo simulations of the random shell model, with Gear methods used to solve the stochastic differential equations. We find that the H（p） advected by the non-Gaussian random velocity is not more anomalous than that advected by the Gaussian random velocity. Whether the advecting velocity is non-Gaussian or Gaussian, similar scaling exponents of passive scalar are obtained with the same molecular diffusivity.
基金Supported by"Professor Cultivation Engineering"of Ningde Normal University in 2010(2010J002)~~
文摘With the concept that culture was the product of certain natural environment and social condition, as there were less researches on response of community culture of She Nationality to geological space and on influence of geological space on She community culture, the study took community culture of She Nationality in East Fujian as the research subject, and analyzed distribution of She Nationality. By taking relevant documents on She Nationality of East Fujian Province for reference, through analysis of characteristic culture and geopolitical background of She community, it was considered that characteristic culture lied in united and friendly community culture, rough and practical sports culture, ancient medicine culture, food culture of mountainous feature and architectural culture. Furthermore, it analyzed response of She community culture to geological space from the perspectives of regional space, geological environment and climate; and pointed out the far-reaching influence of geological space on She community culture.
