# Elliptic Blending Model

UNDER CONSTRUCTION

The model implemented here is the one described in Thielen et al. (Int Journal of Heat and Mass Transfer, 48, 2005, pp.1583-1598).

The model solves the full set Reynolds stresses %$\overline{u_i u_j}$%, a dissipation equation %$\varepsilon$% and an elliptic equation for %$\alpha$%.

The Reynolds stress equation can be written as:

%BEGINLATEX% \begin{align} \frac{D\overline{u_i u_j}}{Dt} = &P_{ij} + {\Phi^*}_{ij} - \varepsilon_{ij}+\frac{\partial}{\partial x_k}\left[ (\nu \delta_{kl} + C_s\overline{u_ku_l}\tau) \frac{\partial \overline{u_i u_j}}{\partial x_l} \right] \\ \frac{D\varepsilon}{Dt} = & \frac{C'_{\varepsilon 1}P - C_{\varepsilon 2} \varepsilon}{\tau}+\left[ (\nu \delta_{kl} + C_{\varepsilon}\overline{u_ku_l}\tau) \frac{\partial \varepsilon }{\partial x_l} \right] \end{align} %ENDLATEX%

-- JuanUribe - 2009-11-05

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gz ebm_channel.tar.gz manage 283.5 K 2009-11-05 - 12:41 JuanUribe File for the EBM for a channel flow calculation (v1.4.0)
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Topic revision: r1 - 2009-11-05 - 13:30:59 - JuanUribe
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