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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.
docs/utils/fieldprops.1237739560.txt.gz · Last modified: 2009/03/22 09:32 by gibson