The inter-scale energy transfer process is one of the key issues in the multi-scale nature of turbulent flows.A direct numerical simulation of homogeneous isotropic turbulent flows is conducted and the energy transfer...The inter-scale energy transfer process is one of the key issues in the multi-scale nature of turbulent flows.A direct numerical simulation of homogeneous isotropic turbulent flows is conducted and the energy transfer is studied in detail in spectral space.The band-to-band energy transfer function involving non-local triad interactions with large scale modes peaks sharply.The similarity of this non-local energy transfer function is observed in both the shape and the amplitude.In addition,the similarity is satisfied in both the inertial subrange and dissipation range,implying that it is a general property of turbulence.The amplitude is determined by wave numbers p and q independently in a power law,with the power rates-3 and-2,respectively.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 11132005,10925210,MOST(2011BAK07B01-03)the LIAMA Project TIPE and the National Laboratory for Information Science and Technology。
文摘The inter-scale energy transfer process is one of the key issues in the multi-scale nature of turbulent flows.A direct numerical simulation of homogeneous isotropic turbulent flows is conducted and the energy transfer is studied in detail in spectral space.The band-to-band energy transfer function involving non-local triad interactions with large scale modes peaks sharply.The similarity of this non-local energy transfer function is observed in both the shape and the amplitude.In addition,the similarity is satisfied in both the inertial subrange and dissipation range,implying that it is a general property of turbulence.The amplitude is determined by wave numbers p and q independently in a power law,with the power rates-3 and-2,respectively.