Changes between Version 5 and Version 6 of SpectraObject

Timestamp:

02/07/13 22:47:47 (12 years ago)

Author:

Jonathan

Comment:

—

SpectraObject

@@ -35 +35 @@
 }}}
 
-This will generate 6 curves: One for each component of the vector field, (vx^2^, vy^2^, vz^2^) as well as the total (v^2^) and the helmholtz decomposed fields (v_sol^2^ and v_div^2^).  Note the total and the decomposed fields will be labeled {{{vx_total, vx_sol, & vx_div}}} though they have nothing to do with the 'x' direction.  Each curve represents the spectral energy density.  So 
+This will generate 6 curves: One for each component of the vector field, (vx^2^, vy^2^, vz^2^) as well as the total (v^2^) and the helmholtz decomposed fields (v_sol^2^ and v_div^2^).  Note the total and the decomposed fields will be labeled {{{vx_total, vx_sol, & vx_div}}} though they have nothing to do with the 'x' direction.  Each curve represents the spectral energy density.  So in the case of using the {{{Mass_Field}}} which corresponds to density, we would have
 
 [[latex(\int \mathcal{E_\rho}(k)dk = \int \rho^2 d^3x)]]
+
+And in the case of the velocity field
+[[latex(\int \mathcal{E_v}(k)dk = \int \v^2 d^3x)]]
 
 [[Image(SampleSpectra.jpeg, width=400)]]