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Reynolds stress equation model : ウィキペディア英語版
Reynolds stress equation model
Reynolds stress equation model (RSM), also known as second order or second moment closure model is the most complex classical turbulence model. Several shortcomings of k-epsilon turbulence model were observed when it was attempted to predict flows with complex strain fields or substantial body forces. Under those conditions the individual Reynolds stresses were not found to be accurate while using formula
-\rho u_^\prime u_^\prime = \mu t\left (\frac}+\frac}\right )-\frac\rho k\delta_ = 2 \mu t E_-\frac\rho k \delta_
The equation for the transport of kinematic Reynolds stress R_=u_^\prime u_^\prime=-\tau _/\rho is


\frac = D_+ P_+ \Pi_+ \Omega_- \varepsilon_
Rate of change of R_ + Transport of R_ by convection = Transport of R_ by diffusion + Rate of production of R_ + Transport of R_ due to turbulent pressure-strain interactions + Transport of R_ due to rotation + Rate of dissipation of R_.
The six partial differential equations above represent six independent Reynolds stresses. The models that we need to solve the above equation are derived from the work of Launder, Rodi and Reece (1975).
== Production term ==

The Production term that is used in CFD computations with Reynolds stress transport equations is
P_ = -\left (R_\frac}+R_\frac}\right )

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