====== fieldprops ====== print out basic properties of a FlowField 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 default == 400 Reynolds number -eps --eps default == 1e-07 spectral noise floor -dt --dt default == 0.03125 integration time for du/dt estimate -T --T default == 0.03125 integration time for du/dt estimate -nl --nonlinearity default == rot method for u grad u [rot or skw] -dg --digits default == 6 digits of output for reals (trailing arg 1) input field Definitions: The norms and energy measures reported by the -n and -e options are defined as follows $ \begin{align*} \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} \quad E(u) &= \frac{1}{2 L_x L_y L_z} \int_{\Omega} \|{\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} \quad I(u) &= \frac{1}{L_x L_z} \int_{y=a,b} \frac{\partial u}{\partial y} \, dx dz \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.