TARANG.lib.global_fns.spectral_setup

TARANG.lib.global_fns.spectral_setup#

Attributes#

`kx`
`ky`
`kz`
`kfactor`
`Ngrid`
`NgridF`
`kfactor`
`kx_mesh`
`ky_mesh`
`NgridF`
`kz_mesh`
`ksqr`
`dealiasing_index`
`min_radius_outside`
`k_array`

Functions#

`SpectralInit`(para)
`xderiv`(Ak)	Compute the x-derivative of the array in Fourier space.
`yderiv`(Ak)	Compute the y-derivative of the array in Fourier space.
`zderiv`(Ak)	Compute the z-derivative of the array in Fourier space.
`forward_transform`(para, A, Ak)	Compute the forward Fourier transform of the array.
`inverse_transform`(para, Ak, A)	Compute the inverse Fourier transform of the array.
`dealias`(Ak)	Apply dealiasing to the array in Fourier space.
`dealias_old`(para, Ak)	Apply old dealiasing method to the array in Fourier space.
`reality_cond`(para, Ak)	Apply reality condition to the array in Fourier space.
`generate_spectrum2D`(para, Ak, ek, Tk, nlin, temp)	Generate the 2D energy spectrum and transfer function.
`generate_spectrum3D`(para, Ak, ek, Tk, nlin, temp)	Generate the 3D energy spectrum and transfer function.
`generate_specta_planar`(para, Ak, ek, Tk, nlin, temp)	Generate the planar energy spectrum and transfer function.
`resize`(Ak_in, Ak, N)	Resize the array Ak_in to fit into the array Ak with the given dimensions N.
`boundary_sin_cond`(para, Ak)	Apply sine boundary condition to the array in Fourier space.
`boundary_cos_cond`(para, Ak)	Apply cosine boundary condition to the array in Fourier space.

Module Contents#

TARANG.lib.global_fns.spectral_setup.kx = None#

TARANG.lib.global_fns.spectral_setup.ky = None#

TARANG.lib.global_fns.spectral_setup.kz = None#

TARANG.lib.global_fns.spectral_setup.kfactor = None#

TARANG.lib.global_fns.spectral_setup.Ngrid = None#

TARANG.lib.global_fns.spectral_setup.NgridF = None#

TARANG.lib.global_fns.spectral_setup.kfactor = None#

TARANG.lib.global_fns.spectral_setup.kx_mesh = None#

TARANG.lib.global_fns.spectral_setup.ky_mesh = None#

TARANG.lib.global_fns.spectral_setup.NgridF = None#

TARANG.lib.global_fns.spectral_setup.kz_mesh = None#

TARANG.lib.global_fns.spectral_setup.ksqr = None#

TARANG.lib.global_fns.spectral_setup.dealiasing_index = None#

TARANG.lib.global_fns.spectral_setup.min_radius_outside = None#

TARANG.lib.global_fns.spectral_setup.k_array = None#

TARANG.lib.global_fns.spectral_setup.SpectralInit(para)#

TARANG.lib.global_fns.spectral_setup.xderiv(Ak)#

Compute the x-derivative of the array in Fourier space.

Parameters:: Ak (array-like) – Array in Fourier space.
Returns:: x-derivative of the array in Fourier space.
Return type:: array-like

TARANG.lib.global_fns.spectral_setup.yderiv(Ak)#

Compute the y-derivative of the array in Fourier space.

Parameters:: Ak (array-like) – Array in Fourier space.
Returns:: y-derivative of the array in Fourier space.
Return type:: array-like

TARANG.lib.global_fns.spectral_setup.zderiv(Ak)#

Compute the z-derivative of the array in Fourier space.

Parameters:: Ak (array-like) – Array in Fourier space.
Returns:: z-derivative of the array in Fourier space.
Return type:: array-like

TARANG.lib.global_fns.spectral_setup.forward_transform(para, A, Ak)#

Compute the forward Fourier transform of the array.

Parameters:

A (array-like) – Array in real space.
Ak (array-like) – Array in Fourier space.

Returns:

Forward Fourier transform of the array.

Return type:

array-like

TARANG.lib.global_fns.spectral_setup.inverse_transform(para, Ak, A)#

Compute the inverse Fourier transform of the array.

Parameters:

Ak (array-like) – Array in Fourier space.
A (array-like) – Array in real space.

Returns:

Inverse Fourier transform of the array.

Return type:

array-like

TARANG.lib.global_fns.spectral_setup.dealias(Ak)#

Apply dealiasing to the array in Fourier space.

Parameters:: Ak (array-like) – Array in Fourier space.
Returns:: Dealiased array in Fourier space.
Return type:: array-like

TARANG.lib.global_fns.spectral_setup.dealias_old(para, Ak)#

Apply old dealiasing method to the array in Fourier space.

Parameters:: Ak (array-like) – Array in Fourier space.
Returns:: Dealiased array in Fourier space.
Return type:: array-like

TARANG.lib.global_fns.spectral_setup.reality_cond(para, Ak)#

Apply reality condition to the array in Fourier space.

Parameters:: Ak (array-like) – Array in Fourier space.
Returns:: Array in Fourier space with reality condition applied.
Return type:: array-like

TARANG.lib.global_fns.spectral_setup.generate_spectrum2D(para, Ak, ek, Tk, nlin, temp)#

Generate the 2D energy spectrum and transfer function.

Parameters:

Ak (array-like) – Array in Fourier space.
ek (array-like) – Array for the energy spectrum.
Tk (array-like) – Array for the transfer function.
nlin (array-like) – Array for the nonlinear terms.
temp (array-like) – Temporary array for calculations.

Return type:

None

TARANG.lib.global_fns.spectral_setup.generate_spectrum3D(para, Ak, ek, Tk, nlin, temp)#

Generate the 3D energy spectrum and transfer function.

Parameters:

Ak (array-like) – Array in Fourier space.
ek (array-like) – Array for the energy spectrum.
Tk (array-like) – Array for the transfer function.
nlin (array-like) – Array for the nonlinear terms.
temp (array-like) – Temporary array for calculations.

Return type:

None

TARANG.lib.global_fns.spectral_setup.generate_specta_planar(para, Ak, ek, Tk, nlin, temp)#

Generate the planar energy spectrum and transfer function.

Parameters:

Ak (array-like) – Array in Fourier space.
ek (array-like) – Array for the energy spectrum.
Tk (array-like) – Array for the transfer function.
nlin (array-like) – Array for the nonlinear terms.
temp (array-like) – Temporary array for calculations.

Return type:

None

TARANG.lib.global_fns.spectral_setup.resize(Ak_in, Ak, N)#

Resize the array Ak_in to fit into the array Ak with the given dimensions N.

Parameters:

Ak (array-like) – Array to be resized.
Ak_in (array-like) – Input array to be resized.
N (list of int) – Dimensions of the output array.

Returns:

Resized array.

Return type:

array-like

TARANG.lib.global_fns.spectral_setup.boundary_sin_cond(para, Ak)#

Apply sine boundary condition to the array in Fourier space.

Parameters:: Ak (array-like) – Array in Fourier space.
Returns:: Array in Fourier space with sine boundary condition applied.
Return type:: array-like

TARANG.lib.global_fns.spectral_setup.boundary_cos_cond(para, Ak)#

Apply cosine boundary condition to the array in Fourier space.

Parameters:: Ak (array-like) – Array in Fourier space.
Returns:: Array in Fourier space with cosine boundary condition applied.
Return type:: array-like