====== Differences ====== This shows you the differences between two versions of the page.
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docs:utils:fieldprops [2009/03/22 09:32] gibson |
docs:utils:fieldprops [2010/02/02 07:55] (current) |
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<latex> $ \begin{align*} | <latex> $ \begin{align*} | ||
- | \text{L2Norm} \|u\| &= \left(\frac{1}{L_x L_y L_z} \int_{\Omega} \|{\bf u}\|^2\,\, d{\bf x} \right)^{1/2}\\ | + | \text{L2Norm} \quad \|u\| &= \left(\frac{1}{L_x L_y L_z} \int_{\Omega} \|{\bf u}\|^2\,\, d{\bf x} \right)^{1/2}\\ |
- | \text{energy} E(u) &= \frac{1}{2 L_x L_y L_z} \int_{\Omega} \|{\bf u}\|^2\,\, d{\bf x} \\ | + | \text{energy} \quad E(u) &= \frac{1}{2 L_x L_y L_z} \int_{\Omega} \|{\bf u}\|^2\,\, d{\bf x} \\ |
- | \text{dissipation} D(u) &= \frac{1}{L_x L_y L_z} \int_{\Omega} \|\nabla \times {\bf u}\|^2 \,\, d{\bf x} \\ | + | \text{dissipation} \quad D(u) &= \frac{1}{L_x L_y L_z} \int_{\Omega} \|\nabla \times {\bf u}\|^2 \,\, d{\bf x} \\ |
- | \text{forcing} I(u) &= \frac{1}{L_x L_z} \int_{y=a,b} \frac{\partial u}{\partial y} \, dx dz | + | \text{forcing} \quad I(u) &= \frac{1}{L_x L_z} \int_{y=a,b} \frac{\partial u}{\partial y} \, dx dz |
\end{align*} $ </latex> | \end{align*} $ </latex> | ||
+ | FIXME: Some of the measures output by fieldprops assume that the field is the fluctuating velocity field | ||
+ | of plane Couette flow, and some quantities are reported for the total velocity field %%u+U%% where %U(y) = y%%. | ||
+ | There should be an option for specifying other common base-flow / fluctuation decompositions, or none. |