Changes between Version 4 and Version 5 of doc/tec/gov

Timestamp:

Apr 7, 2016 3:51:20 PM (9 years ago)

Author:

Giersch

Comment:

--

doc/tec/gov

@@ -13 +13 @@
 #!Latex
 \begin{align*}
-  \frac{\partial u_i}{\partial t}&= - \frac{\partial u_i u_j}{\partial x_j} -\varepsilon_{ijk}f_j u_k
-  + \varepsilon_{i3j}f_3 {u_{\mathrm{g},j}} - \frac{1}{\rho_0} \frac{\partial \pi^\ast}{\partial x_i} 
-  + g \frac{\theta_\mathrm{v} - \langle\theta_{\mathrm{v}}\rangle}{\langle\theta_{\mathrm{v}}\rangle} \delta_{i3}-\frac{\partial}{\partial x_j} \left(\overline{u_i^{\prime\prime} u_j^{\prime\prime}} -
-  \frac{2}{3}e\delta_{ij}\right), \\
-  \frac{\partial u_j}{\partial x_j}&=0, \\
-   \frac{\partial \theta}{\partial t} &= -
-  \frac{\partial u_j \theta}{\partial x_j} -\frac{\partial}{\partial
-    x_j}\left(\overline{u_j^{\prime\prime}\theta^{\prime\prime}}\right)
-  - \frac{L_\mathrm{V}}{c_p \Pi} \Psi_{q_\mathrm{v}}, \\
-   \frac{\partial q_\mathrm{v}}{\partial t} &= -
-  \frac{\partial u_j q_\mathrm{v}}{\partial x_j} -
-  \frac{\partial}{\partial
-    x_j}\left(\overline{u_j^{\prime\prime}q^{\prime\prime}_\mathrm{v}}\right)
-  + \Psi_{q_\mathrm{v}},\\
-  \frac{\partial s}{\partial t} &= -
-  \frac{\partial u_j s}{\partial x_j} - \frac{\partial}{\partial
-    x_j}\left(\overline{u_j^{\prime\prime}s^{\prime\prime}}\right) +
-  \Psi_s.
+ \frac{\partial u_i}{\partial t}&= - \frac{\partial u_i u_j}{\partial x_j} -\varepsilon_{ijk}f_j u_k + \varepsilon_{i3j}f_3 {u_{\mathrm{g},j}} - \frac{1}{\rho_0} \frac{\partial \pi^\ast}{\partial x_i} + g \frac{\theta_\mathrm{v} - \langle\theta_{\mathrm{v}}\rangle}{\langle\theta_{\mathrm{v}}\rangle}\delta_{i3}-\frac{\partial}{\partial x_j} \left(\overline{u_i^{\prime\prime} u_j^{\prime\prime}} - \frac{2}{3}e\delta_{ij}\right), \\
+ \frac{\partial u_j}{\partial x_j}&=0, \\
+ \frac{\partial \theta}{\partial t} &= - \frac{\partial u_j \theta}{\partial x_j} -\frac{\partial}{\partial x_j}\left(\overline{u_j^{\prime\prime}\theta^{\prime\prime}}\right) - \frac{L_\mathrm{V}}{c_p \Pi} \Psi_{q_\mathrm{v}}, \\
+ \frac{\partial q_\mathrm{v}}{\partial t} &= - \frac{\partial u_j q_\mathrm{v}}{\partial x_j} - \frac{\partial}{\partial x_j}\left(\overline{u_j^{\prime\prime}q^{\prime\prime}_\mathrm{v}}\right) + \Psi_{q_\mathrm{v}},\\
+ \frac{\partial s}{\partial t} &= - \frac{\partial u_j s}{\partial x_j} - \frac{\partial}{\partial x_j}\left(\overline{u_j^{\prime\prime}s^{\prime\prime}}\right) + \Psi_s.
 \end{align*}
 }}}