Using data from direct numerical simulation (DNS) of incompressible and compressible channel flow, we develop a method of sub-ensemble decomposition to investigate the pressure gradient effect on the Karman constant...Using data from direct numerical simulation (DNS) of incompressible and compressible channel flow, we develop a method of sub-ensemble decomposition to investigate the pressure gradient effect on the Karman constant and the additive constant B characterizing the mean velocity profile (MVP). The sub-ensemble decomposition is defined according to the magnitude of vertical fluctuation velocity, which mimics coherent motions like ejection and sweep. DNS data analysis shows that each sub-ensemble displays a distinct Karman constant, with a variation which mimics effects of pressure gradient. The latter is demonstrated by a relation between sub-ensembles' km and Bm similar to empirical data under various pressure gradients. A set of global parameters, k0-pg=0.39 & B0-pg=5.5, are then derived for interpreting two constants observed by Nagib et al.展开更多
基金supported by the National Natural Science Foundation of China (Grant No. 90716008 and 10921202)the National Basic Research Program of China (Grant No. 2009CB724100)
文摘Using data from direct numerical simulation (DNS) of incompressible and compressible channel flow, we develop a method of sub-ensemble decomposition to investigate the pressure gradient effect on the Karman constant and the additive constant B characterizing the mean velocity profile (MVP). The sub-ensemble decomposition is defined according to the magnitude of vertical fluctuation velocity, which mimics coherent motions like ejection and sweep. DNS data analysis shows that each sub-ensemble displays a distinct Karman constant, with a variation which mimics effects of pressure gradient. The latter is demonstrated by a relation between sub-ensembles' km and Bm similar to empirical data under various pressure gradients. A set of global parameters, k0-pg=0.39 & B0-pg=5.5, are then derived for interpreting two constants observed by Nagib et al.