edmf
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edmf [2021/01/22 22:21] – external edit 127.0.0.1 | edmf [2022/09/14 17:47] (current) – ibartolo | ||
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where subgrid $tc$ indicates turbulence and convection, the overline indicates a horizontal Reynolds' | where subgrid $tc$ indicates turbulence and convection, the overline indicates a horizontal Reynolds' | ||
\begin{eqnarray*} | \begin{eqnarray*} | ||
- | \overline{w' | + | \overline{w' |
\end{eqnarray*} | \end{eqnarray*} | ||
where $K_{\phi}$ is the eddy diffusivity coefficient. As expressed by the dependence on the vertical gradient, in principle this model acts purely down-gradient, | where $K_{\phi}$ is the eddy diffusivity coefficient. As expressed by the dependence on the vertical gradient, in principle this model acts purely down-gradient, | ||
\begin{eqnarray*} | \begin{eqnarray*} | ||
- | \overline{w' | + | \overline{w' |
\end{eqnarray*} | \end{eqnarray*} | ||
where $M_c$ is the volumetric //Mass Flux// (MF) by the convective elements, defined (in approximation) as the product of their area fraction and their vertical velocity. Such motions can transport in counter-gradient directions, and can maintain differences between a convective plume ( c) and its environment (e) for some time. The Eddy Diffusivity - Mass Flux (EDMF) approach is a relatively new method that aims to combine the benefits of both ways of describing transport, | where $M_c$ is the volumetric //Mass Flux// (MF) by the convective elements, defined (in approximation) as the product of their area fraction and their vertical velocity. Such motions can transport in counter-gradient directions, and can maintain differences between a convective plume ( c) and its environment (e) for some time. The Eddy Diffusivity - Mass Flux (EDMF) approach is a relatively new method that aims to combine the benefits of both ways of describing transport, | ||
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An ensemble of plumes can be differentiated based on updraft properties such as thermodynamic state, vertical velocity or buoyancy. Alternatively one can define a plume spectrum in size-space, as schematically illustrated in Fig. 4. This has some important consequences. For example, the size distribution of plume properties becomes the foundation of the EDMF framework. This can be understood by rewriting the multi-plume MF flux at some height $z$ as a function of plume size $l$, | An ensemble of plumes can be differentiated based on updraft properties such as thermodynamic state, vertical velocity or buoyancy. Alternatively one can define a plume spectrum in size-space, as schematically illustrated in Fig. 4. This has some important consequences. For example, the size distribution of plume properties becomes the foundation of the EDMF framework. This can be understood by rewriting the multi-plume MF flux at some height $z$ as a function of plume size $l$, | ||
\begin{eqnarray*} | \begin{eqnarray*} | ||
- | \overline{w' | + | \overline{w' |
& \approx & \int_{l} \mathcal{M}(l, | & \approx & \int_{l} \mathcal{M}(l, | ||
& = & \int_{l} \mathcal{A}(l, | & = & \int_{l} \mathcal{A}(l, | ||
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==== Contact ===== | ==== Contact ===== | ||
- | For more information get in contact with [[http:// | + | For more information get in contact with [[http:// |
edmf.txt · Last modified: 2022/09/14 17:47 by ibartolo