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docs:utils:fieldprops

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 docs:utils:fieldprops [2009/03/22 09:32]gibson docs:utils:fieldprops [2010/02/02 07:55] (current) Both sides previous revision Previous revision 2009/03/22 09:37 gibson 2009/03/22 09:32 gibson 2009/03/22 09:16 gibson created Next revision Previous revision 2009/03/22 09:37 gibson 2009/03/22 09:32 gibson 2009/03/22 09:16 gibson created Line 24: Line 24: <​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*} ​ \end{align*} ​ + 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.