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Modelling of the pressure-velocity correlation in turbulence diffusion
Authors:Fu Song
Institution:(1) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, China
Abstract:Most current computations of trubulent flows with second-moment closure adopt the diffusion models which neglect the effect of pressure-velocity correlation. In the present paper the importance of this correlation effect is elucidated the neglect of this effect accounts for some major defects in the wide application of the second-moment closures. Through the relation between 
$$\overline {pu_i } $$
and 
$$\overline {u_i u_p u_p } $$
, established by Lumley, we propose here a new turbulence diffusion model which takes into consideration the pressure effect. Applications of this new model in the computation of shearless turbulence mixing layer and plane and round-jet flows show that the spreading rate of these flows can be satisfactorily captured.
Keywords:turbulence model  pressure-velocity corelation  Reynolds stress  jet
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