Changeset 954 for palm/trunk/TUTORIAL/SOURCE/particle_model.tex
- Timestamp:
- Jul 20, 2012 7:44:19 AM (12 years ago)
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palm/trunk/TUTORIAL/SOURCE/particle_model.tex
r945 r954 412 412 \node[text width=6em] at (2.8,-2.1) {\scriptsize Calculation of particle trajectories begins (default value: 0.0)}; 413 413 414 415 416 417 414 \onslide<3-> 418 415 \draw[->, ultra thick, color=red] (5,0.5) -- (5,-0.5); … … 420 417 \node at (3.75,0.3) {\scriptsize \texttt{dt\underline{ }prel}}; 421 418 \draw[<->, thick, color=blue] (2.5,0.6) -- (4.95,0.6); 422 423 424 419 425 420 \onslide<4-> … … 867 862 \small 868 863 \vspace{1mm} 869 The position of a particle is found by integrating $ \dfrac{d X_{\text{particle}}}{dt} = \vec{V}_{\text{particle}}$\\864 The position of a particle is found by integrating $ \dfrac{d \vec{X}_{\text{particle}}}{dt} = \vec{V}_{\text{particle}}$\\ 870 865 \vspace{2mm} 871 866 \onslide<2->Transferring the LES concept ... … … 982 977 Assumption: subgrid scale turbulence locally isotropic\\ 983 978 \vspace{6mm} 984 $dV_{\text{sub}_i} = - \dfrac{3 f_s C_0 }{4} \dfrac{V_{\text{sub}_i}}{e_s} dt + \dfrac{1}{3} \left( \dfrac{\partial e_s}{\partial x_i} + \dfrac{3}{2 e_s} \dfrac{d e_s}{dt} V_{\text{sub}_i}\right) dt + \sqrt{f_s C_0 \varepsilon}\, d\xi_i$\\979 $dV_{\text{sub}_i} = - \dfrac{3 f_s C_0 \varepsilon}{4} \dfrac{V_{\text{sub}_i}}{e_s} dt + \dfrac{1}{3} \left( \dfrac{\partial e_s}{\partial x_i} + \dfrac{3}{2 e_s} \dfrac{d e_s}{dt} V_{\text{sub}_i}\right) dt + \sqrt{f_s C_0 \varepsilon}\, d\xi_i$\\ 985 980 \vspace{2mm} 986 981 $f_s = \dfrac{\langle 2 e_s / 3 \rangle}{\langle 2 e_s / 3 \rangle + \langle \left( \sigma^2_{\text{res}U} + \sigma^2_{\text{res}V} + \sigma^2_{\text{res}W} \right) /3 \rangle}$\\ … … 1266 1261 \node (0) at (0,0) {}; 1267 1262 \node[draw, right=0.0cm of 0] {In case of cloud droplets: calculate the liquid water content}; 1268 \uncover<2->{\node[draw, right=0.0cm of 0, yshift=-0.6cm] {user defined setting of particle attributes (subroutine user\underline{ }particle\underline{ }attributes)};}1263 \uncover<2->{\node[draw, right=0.0cm of 0, yshift=-0.6cm] {user defined setting of particle attributes (subroutine \texttt{user\underline{ }particle\underline{ }attributes})};} 1269 1264 \uncover<3->{\node[draw, right=0.0cm of 0, yshift=-1.2cm] {if necessary, add actual positions to the particle tails};} 1270 1265 \uncover<4->{\node[draw, right=0.0cm of 0, yshift=-1.8cm] {write particle statistics on file \texttt{PARTICLE\underline{ }INFOS} (ASCII format)}; } … … 1350 1345 \includegraphics[scale=0.5]{particle_model_figures/footprint3_2.png} 1351 1346 \begin{itemize} 1352 \item particles are released every 2min over a period of 30min at z=70m in the total model domain ($\rightarrow$ 7 * 106particles)1347 \item particles are released every 2min over a period of 30min at z=70m in the total model domain ($\rightarrow$ 7 * $10^6$ particles) 1353 1348 \item particles are measured at z=72.5m, 77.5m, 100.0m 1354 1349 \end{itemize}
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