The Mapping Closure Approximation(MCA)approach is developed to describe the statistics of both conserved and reactive scalars in random flows.The statistics include Probability Density Function(PDF),Conditional Dissip...The Mapping Closure Approximation(MCA)approach is developed to describe the statistics of both conserved and reactive scalars in random flows.The statistics include Probability Density Function(PDF),Conditional Dissipation Rate(CDR)and Conditional Laplacian(CL).The statistical quantities are calculated using the MCA and compared with the results of the Direct Nu- merical Simulation(DNS).The results obtained from the MCA are in agreement with those from the DNS.It is shown that the MCA approach can predict the statistics of reactive scalars in random flows.展开更多
根据I-型垂直密度表示及II-型垂直密度表示,分析垂直密度表示(Vertical Density Representation,简记为VDR)的提出与Lebesgue积分创立的异曲同工之处.阐述VDR在随机数生成、概率分布构造、多元分布拟合优度检验等方面的应用.垂直密度表...根据I-型垂直密度表示及II-型垂直密度表示,分析垂直密度表示(Vertical Density Representation,简记为VDR)的提出与Lebesgue积分创立的异曲同工之处.阐述VDR在随机数生成、概率分布构造、多元分布拟合优度检验等方面的应用.垂直密度表示是一种特殊类型的变量变换,可用以探究概率分布的内在特性.展开更多
基金The project supported by the National Committee of Science and Technology,China,under the Special Funds for Major Basic Research Project (G2000077305 and G1999032801),and the National Natural Science Foundation of China (10325211)
文摘The Mapping Closure Approximation(MCA)approach is developed to describe the statistics of both conserved and reactive scalars in random flows.The statistics include Probability Density Function(PDF),Conditional Dissipation Rate(CDR)and Conditional Laplacian(CL).The statistical quantities are calculated using the MCA and compared with the results of the Direct Nu- merical Simulation(DNS).The results obtained from the MCA are in agreement with those from the DNS.It is shown that the MCA approach can predict the statistics of reactive scalars in random flows.
文摘根据I-型垂直密度表示及II-型垂直密度表示,分析垂直密度表示(Vertical Density Representation,简记为VDR)的提出与Lebesgue积分创立的异曲同工之处.阐述VDR在随机数生成、概率分布构造、多元分布拟合优度检验等方面的应用.垂直密度表示是一种特殊类型的变量变换,可用以探究概率分布的内在特性.
