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docs:utils:fieldprops

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====== fieldprops ====== print out basic properties of a FlowField <code> options : -g --geometry show geometrical properties -m --mean show mean properties -n --norm show norm properties -sp --spectral show spectral properties -sy --symmetry show symmetry properties -d --dynamic show dynamical properties -e --energy show energy properties -R --Reynolds <real> default == 400 Reynolds number -eps --eps <real> default == 1e-07 spectral noise floor -dt --dt <real> default == 0.03125 integration time for du/dt estimate -T --T <real> default == 0.03125 integration time for du/dt estimate -nl --nonlinearity <string> default == rot method for u grad u [rot or skw] -dg --digits <int> default == 6 digits of output for reals <flowfield> (trailing arg 1) input field </code> Definitions: The norms and energy measures reported by the -n and -e options are defined as follows <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{energy} 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{forcing} I(u) &= \frac{1}{L_x L_z} \int_{y=a,b} \frac{\partial u}{\partial y} \, dx dz \end{align*} $ </latex>

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