Exact Relation for Correlation Functions in Compressible Isothermal Turbulence
Titre | Exact Relation for Correlation Functions in Compressible Isothermal Turbulence |
Type de publication | Journal Article |
Year of Publication | 2011 |
Auteurs | Galtier, S, Banerjee, S |
Journal | Physical Review Letters |
Volume | 107 |
Date Published | Sep |
ISBN Number | 0031-9007 |
Numéro d'accès | WOS:000298320900001 |
Résumé | Compressible isothermal turbulence is analyzed under the assumption of homogeneity and in the asymptotic limit of a high Reynolds number. An exact relation is derived for some two-point correlation functions which reveals a fundamental difference with the incompressible case. The main difference resides in the presence of a new type of term which acts on the inertial range similarly as a source or a sink for the mean energy transfer rate. When isotropy is assumed, compressible turbulence may be described by the relation -2/3 epsilon(eff) r =F(r)(r), where F(r) is the radial component of the two-point correlation functions and epsilon(eff) is an effective mean total energy injection rate. By dimensional arguments, we predict that a spectrum in k(-5/3) may still be preserved at small scales if the density-weighted fluid velocity rho(1/3) is used. |