recolo.artificial_grid_deformation.analytical_disp_fields.harmonic_disp_field

recolo.artificial_grid_deformation.analytical_disp_fields.harmonic_disp_field(amplitude, periode, n_periodes, formulation='Lagrangian')

Harmonic displacement field with associated reference coordinates, current coordinates and displacement fields.

The following coordinate definition is used:

x = X + u(X)

where x is the current coordinates, X is the coordinates in the undeformed configuration and u(X) is the displacement field expressed in therm of coordinates in the undeformed configuration.

amplitudefloat

The amplitude of the harmonic displacement field

periodeint

The periode of the harmonic displacement field

n_periodesint

The number of displacement periodes

formulationstr

The coodinate formulation used for the displacement field. “Lagrangian” corresponds to u(X) “Eulerian” corresponds to u(x)

xs, ys, Xs, Ys, displacement_x, displacement_yndarray

xs,ys are the coordinates in the deformed configuration Xs,Ys are the coordinates in the undeformed configuration displacement_x, displacement_y are the displacement component fields