Spectra¶

`kin_spec_#.TAG`¶

This file contains the kinetic energy spectra. This file is written by the subroutine spectrum.

No. of column

Contents

1

degree / order

2

Poloidal kinetic energy versus degree

3

Poloidal kinetic energy versus order

4

Toroidal kinetic energy versus degree

5

Toroidal kinetic energy versus order

6

Poloidal kinetic energy at \(r=r_o-0.01\) versus degree

7

Poloidal kinetic energy at \(r=r_o-0.01\) versus order

8

Axisymmetric poloidal kinetic energy versus degree

9

Axisymmetric toroidal kinetic energy versus degree

This file can be read using MagicSpectrum with the following options:

>>> sp = MagicSpectrum(field='ekin')

`mag_spec_#.TAG`¶

This file contains the magnetic energy spectra. This file is written by the subroutine spectrum.

No. of column

Contents

1

degree / order

2

Poloidal magnetic energy in the outer core versus degree

3

Poloidal magnetic energy in the outer core versus order

4

Toroidal magnetic energy in the outer core versus degree

5

Toroidal magnetic energy in the outer core versus order

6

Poloidal magnetic energy in the inner core versus degree

7

Poloidal magnetic energy in the inner core versus order

8

Toroidal magnetic energy in the inner core versus degree

9

Toroidal magnetic energy in the inner core versus order

10

Poloidal magnetic energy at the CMB versus degree

11

Poloidal magnetic energy at the CMB versus order

12

Poloidal magnetic energy at the CMB

This file can be read using MagicSpectrum with the following options:

>>> sp = MagicSpectrum(field='emag')

`u2_spec_#.TAG`¶

Note

This file is only written in anelastic models, i.e. either when strat/=0 or when interior_model/=”None”

This file contains the spectra of the square velocity. This file is written by the subroutine spectrum.

No. of column

Contents

1

degree / order

2

Poloidal contribution per degree in the outer core

3

Poloidal contribution per order in the outer core

4

Toroidal contribution per degree in the outer core

5

Toroidal contribution per order in the outer core

6

Axisymmetric poloidal contribution versus degree

7

Axisymmetric toroidal contribution versus degree

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``u2_spec_1.test``:
>>> sp = MagicSpectrum(field='u2', ispec=1, tag='test')

`T_spec_#.TAG`¶

This file contains the temperature/entropy spectra, those are defined by taking the square of temperature/entropy. It is written by the subroutine spectrum.

No. of column

Contents

1

degree / order

2

Square temperature/entropy versus degree

3

Square temperature/entropy versus order

4

Square temperature/entropy at the ICB versus degree

5

Square temperature/entropy at the ICB versus order

6

Square radial derivative of temperature/entropy at the ICB versus degree

7

Square radial derivative of temperature/entropy at the ICB versus order

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``T_spec_3.test_a``:
>>> sp = MagicSpectrum(field='T', ispec=3, tag='test_a')

`Xi_spec_#.TAG`¶

This file contains the spectra of chemical composition, this is defined by taking the square of chemical composition. It is written by the subroutine spectrum.

No. of column

Contents

1

degree / order

2

Square chemical composition versus degree

3

Square chemical composition versus order

4

Square chemical composition at the ICB versus degree

5

Square chemical composition at the ICB versus order

6

Square radial derivative of chemical composition at the ICB versus degree

7

Square radial derivative of chemical composition at the ICB versus order

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``Xi_spec_3.test``:
>>> sp = MagicSpectrum(field='Xi', ispec=3, tag='test')

`Phase_spec_#.TAG`¶

This file contains the phase field spectra, those are defined by taking the square of phase field. It is written by the subroutine spectrum.

No. of column

Contents

1

degree / order

2

Square of the phase field as a function of degree

3

Square of the phase field as a function of order

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``Phase_spec_3.cheb``:
>>> sp = MagicSpectrum(field='phase', ispec=3, tag='cheb')

2D spectra `2D_[kin|mag]_spec_#.TAG` and `2D_[kin|mag]_spec_ave.TAG`¶

Note

Those files are only written when l_2D_spectra=.true.. The time-averaged files also require that l_spec_avg=.true..

Those files contain 2-D spectra in the \((r,\ell)\) and in the \((r,m)\) planes. In other words, the poloidal and toroidal energies versus degree \(\ell\) or versus order \(m\) are computed for all radii. There are two kinds of those files that correspond to the aforementioned spectra, namely 2D_kin_spec_#.TAG, 2D_mag_spec_#.TAG. In case time-averages are requested, 2D_kin_spec_ave.TAG and 2D_mag_spec_ave.TAG will also be stored. The calculations are done in the subroutine spectrum. The structure of the output files are same for these three outputs. They are stored as fortran unformatted files.

Unformatted files are not directly human readable, and are used to store binary data and move it around without changing the internal representation. In fortran, the open, read and write operations for these files are performed as follows:

open(unit=4, file='test', form='unformatted')
read(unit=4) readVar
write(unit=n_out, iostat=ios) writeVar ! Unformatted write

2D spectra files have the following structure:

!-------------
! Line 1
!-------------

version ! version number

!-------------
! Line 2
!-------------

time, n_r_max, l_max, minc ! Time, resolution, max(\ell), azimuthal symmetry

!-------------
! Line 3
!-------------

r(1), r(2), r(3), ..., r(n_r_max)                  ! Radius

!-------------
! Line 4
!-------------

e_p_l(l=1,r=1), e_p_l(l=1,r=2), ..., e_p_l(l=1,r=n_r_max),      ! Poloidal energy
...                                                             ! versus degree
e_p_l(l=l_max,r=1), e_p_l(l=l_max,r=2), ..., e_p_l(l=l_max,r=n_r_max),

!-------------
! Line 5
!-------------

e_p_m(m=0,r=1), e_p_l(m=0,r=2), ..., e_p_l(m=1,r=n_r_max),      ! Poloidal energy
...                                                             ! versus order
e_p_l(m=l_max,r=1), e_p_l(m=l_max,r=2), ..., e_p_l(m=l_max,r=n_r_max),

!-------------
! Line 6
!-------------

e_t_l(l=1,r=1), e_t_l(l=1,r=2), ..., e_t_l(l=1,r=n_r_max),      ! Toroidal energy
...                                                             ! versus degree
e_t_l(l=l_max,r=1), e_t_l(l=l_max,r=2), ..., e_t_l(l=l_max,r=n_r_max),

!-------------
! Line 7
!-------------

e_t_m(m=0,r=1), e_t_l(m=0,r=2), ..., e_t_l(m=1,r=n_r_max),      ! Toroidal energy
...                                                             ! versus order
e_t_l(m=l_max,r=1), e_t_l(m=l_max,r=2), ..., e_t_l(m=l_max,r=n_r_max),

!-------------
! Line 8
!-------------

e_pa_l(l=1,r=1), e_pa_l(l=1,r=2), ..., e_pa_l(l=1,r=n_r_max),   ! Pol. axi. energy
...                                                             ! versus degree
e_pa_l(l=l_max,r=1), e_pa_l(l=l_max,r=2), ..., e_pa_l(l=l_max,r=n_r_max),

!-------------
! Line 9
!-------------

e_ta_l(l=1,r=1), e_ta_l(l=1,r=2), ..., e_ta_l(l=1,r=n_r_max),   ! Tor. axi. energy
...                                                             ! versus degree
e_ta_l(l=l_max,r=1), e_ta_l(l=l_max,r=2), ..., e_ta_l(l=l_max,r=n_r_max),

Those files can be read using the python class MagicSpectrum2D with the following options:

>>> # Read the file 2D_mag_spec_3.ext
>>> sp = MagicSpectrum2D(tag='ext', field='e_mag', ispec=3)
>>> # Print e_pol_l and e_tor_m
>>> print(sp.e_pol_l, sp.e_tor_m)

`kin_spec_ave.TAG`¶

Note

This file is only written when l_spec_avg=.true.

This file contains the time-average kinetic energy spectra as well as squared quantities to allow a possible further reconstruction of the standard deviation. This file is written by the subroutine spectrum.

No. of column

Contents

1

degree / order

2

Time-averaged poloidal kinetic energy versus degree

3

Time-averaged poloidal kinetic energy versus order

4

Time-averaged toroidal kinetic energy versus degree

5

Time-averaged toroidal kinetic energy versus order

6

Time-averaged axisymmetric poloidal kinetic energy versus degree

7

Time-averaged axisymmetric toroidal kinetic energy versus degree

8

Standard deviation of poloidal kinetic energy versus degree

9

Standard deviation of poloidal kinetic energy versus order

10

Standard deviation of toroidal kinetic energy versus degree

11

Standard deviation of toroidal kinetic energy versus order

12

Standard deviation of axisym. poloidal kinetic energy versus degree

13

Standard deviation of axisym. toroidal kinetic energy versus degree

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``kin_spec_ave.test``:
>>> sp = MagicSpectrum(field='kin', ave=True, tag='test')

`mag_spec_ave.TAG`¶

Note

This file is only written when l_spec_avg=.true. and the run is magnetic

This file contains the time-average magnetic energy spectra. This file is written by the subroutine spectrum.

No. of column

Contents

1

degree / order

2

Time-averaged poloidal magnetic energy in the outer core versus degree

3

Time-averaged poloidal magnetic energy in the outer core versus order

4

Time-averaged toroidal magnetic energy in the outer core versus degree

5

Time-averaged toroidal magnetic energy in the outer core versus order

6

Time-averaged poloidal magnetic energy at the CMB versus degree

7

Time-averaged poloidal magnetic energy at the CMB versus order

8

Standard deviation of the poloidal magnetic energy in the outer core versus degree

9

Standard deviation of the poloidal magnetic energy in the outer core versus order

10

Standard deviation of the toroidal magnetic energy in the outer core versus degree

11

Standard deviation of the toroidal magnetic energy in the outer core versus order

12

Standard deviation of the magnetic energy at the CMB versus degree

13

Standard deviation of the magnetic energy at the CMB versus order

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``mag_spec_ave.test``:
>>> sp = MagicSpectrum(field='mag', ave=True, tag='test')

`T_spec_ave.TAG`¶

Note

This file is only written when l_spec_avg=.true.

This file contains the time-averaged temperature/entropy spectra and their standard deviation. It is written by the subroutine spectrum.

No. of column

Contents

1

Spherical harmonic degree/order

2

Time-averaged RMS temperature/entropy versus degree

3

Time-averaged RMS temperature/entropy versus order

4

Time-averaged RMS temperature/entropy at the ICB versus degree

5

Time-averaged RMS temperature/entropy at the ICB versus order

6

Time-averaged temperature/entropy gradient at the ICB versus degree

7

Time-averaged temperature/entropy gradient at the ICB versus order

8

Standard deviation of the temperature/entropy versus degree

9

Standard deviation of the temperature/entropy versus order

10

Standard deviation of the temperature/entropy at the ICB versus degree

11

Standard deviation of the temperature/entropy at the ICB versus order

12

Standard deviation of the temperature/entropy gradient at the ICB versus degree

13

Standard deviation of the temperature/entropy gradient at the ICB versus order

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``T_spec_ave.test``:
>>> sp = MagicSpectrum(field='T', ave=True, tag='test')

`Xi_spec_ave.TAG`¶

Note

This file is only written when l_spec_avg=.true.

This file contains the time-averaged composition spectra and their standard deviation. It is written by the subroutine spectrum.

No. of column

Contents

1

Spherical harmonic degree/order

2

Time-averaged squared composition versus degree

3

Time-averaged squared composition versus order

4

Time-averaged squared composition at the ICB versus degree

5

Time-averaged squared composition at the ICB versus order

6

Time-averaged squared composition gradient at the ICB versus degree

7

Time-averaged squared composition gradient at the ICB versus order

8

Standard deviation of the squared composition versus degree

9

Standard deviation of the squared composition versus order

10

Standard deviation of the squared composition at the ICB versus degree

11

Standard deviation of the squared composition at the ICB versus order

12

Standard deviation of the squared composition gradient at the ICB versus degree

13

Standard deviation of the squared composition gradient at the ICB versus order

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``Xi_spec_ave.cheb``:
>>> sp = MagicSpectrum(field='Xi', ave=True, tag='cheb')

`Phase_spec_ave.TAG`¶

Note

This file is only written when l_spec_avg=.true.

This file contains the time-averaged phase field spectra and their standard deviation. It is written by the subroutine spectrum.

No. of column

Contents

1

Spherical harmonic degree/order

2

Time-averaged square phase field versus degree

3

Time-averaged square phase field versus order

4

Standard deviation of the squared phase field field versus degree

5

Standard deviation of the squared phase field field versus order

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``Phase_spec_ave.test``:
>>> sp = MagicSpectrum(field='phase', ave=True, tag='test')

`dtVrms_spec.TAG`¶

Note

This file is only written when l_RMS=.true.

This file contains the time-averaged force balance spectra as well as their standard deviation. The calculations are done in the subroutine dtVrms.

No. of column

Contents

1

degree + 1

2

Time-averaged Inertia versus degree

3

Time-averaged Coriolis force versus degree

4

Time-averaged Lorentz force versus degree

5

Time-averaged Advection term versus degree

6

Time-averaged Viscous force versus degree

7

Time-averaged thermal Buoyancy versus degree

8

Time-averaged chemical Buoyancy versus degree

9

Time-averaged Pressure gradient versus degree

10 | Time-averaged Pressure/Coriolis balance versus degree

11

Time-averaged Pressure/Coriolis/Lorentz balance versus degree

12

Time-averaged Pressure/Coriolis/Buoyancy balance versus degree

13

Time-averaged Pressure/Coriolis/Lorentz/Buoyancy balance versus degree

14

Time-averaged Coriolis/Lorentz balance versus degree

15

Time-averaged Pressure/Lorentz balance versus degree

16

Time-averaged Coriolis/Inertia/Buoyancy balance versus degree

17

Standard deviation of Inertia versus degree

18

Standard deviation of Coriolis force versus degree

19

Standard deviation of Lorentz force versus degree

20

Standard deviation of Advection term versus degree

21

Standard deviation of Viscous force versus degree

22

Standard deviation of thermal Buoyancy versus degree

23

Standard deviation of chemical Buoyancy versus degree

24

Standard deviation of Pressure gradient versus degree

25

Standard deviation of Pressure/Coriolis balance versus degree

26

Standard deviation of Pressure/Coriolis/Lorentz balance versus degree

27

Standard deviation of Pressure/Coriolis/Buoyancy balance versus degree

28

Standard deviation of Pressure/Coriolis/Lorentz/Buoyancy balance versus degree

29

Standard deviation of Coriolis/Lorentz balance versus degree

30

Standard deviation of Pressure/Lorentz balance versus degree

31

Standard deviation of Coriolis/Inertia/Buoyancy balance versus degree

This file can be read using MagicSpectrum with the following options:

>>> # To read the file ``dtVrms_spec.test``:
>>> sp = MagicSpectrum(field='dtVrms', tag='test')

2D force balance spectra `2D_dtVrms_spec.TAG`¶

Note

Those files are only written when l_RMS=.true. and l_2D_RMS=.true..

Those files contain 2-D force balance spectra in the \((r,\ell)\) plane. The calculations are done in the subroutine dtVrms. The output file is stored as a Fortran unformatted file.

The structure of the 2D force balance spectra files are as follows:

!------------
! Line 1
!------------

version

!-------------
! Line 2
!-------------

n_r_max, l_max ! radial resolution, max(\ell)

!-------------
! Line 3
!-------------

r(1), r(2), r(3), ..., r(n_r_max)                  ! Radius

!-------------
! Line 4
!-------------

Cor_l(l=1,r=1), Cor_l(l=1,r=2), ..., Cor_l(l=1,r=n_r_max),      ! Coriolis force
...                                                             ! versus degree
Cor_l(l=l_max,r=1), Cor_l(l=l_max,r=2), ..., Cor_l(l=l_max,r=n_r_max),

!-------------
! Line 5
!-------------

Adv_l ! Advection

!-------------
! Line 6
!-------------

LF_l ! Lorentz force

!-------------
! Line 7
!-------------

Buo_temp_l ! Thermal buoyancy

!------------
! Line 8
!------------

Buo_xi_l ! Chemical buoyancy

!-------------
! Line 9
!-------------

Pre_l ! Pressure

!-------------
! Line 10
!-------------

Dif_l ! Viscosity

!-------------
! Line 11
!-------------

Iner_l ! Inertia

!-------------
! Line 12
!-------------

Geo_l ! Sum of force terms: geostrophic balance

!-------------
! Line 13
!-------------

Mag_l ! Sum of force terms: pressure, Coriolis and Lorentz

!-------------
! Line 14
!-------------

Arc_l ! Sum of force terms: pressure, buoyancy and Coriolis

!-------------
! Line 15
!-------------

ArcMag_l ! Sum of force terms: pressure, buoyancy, Coriolis and Lorentz

!-------------
! Line 16
!-------------

CIA_l ! Sum of force terms Coriolis/Inertia/Archimedean

!-------------
! Line 17
!-------------

CLF_l ! Sum of force terms Coriolis/Lorentz

!-------------
! Line 18
!-------------

PLF_l ! Sum of force terms Pression/Lorentz

Those files can be read using the python class MagicSpectrum2D with the following options:

>>> # Read the file 2D_dtVrms_spec.ext
>>> sp = MagicSpectrum2D(tag='ext', field='dtVrms')
>>> # Print Cor_l
>>> print(sp.Cor_l)

2D spectra am_[kin|mag]_[pol|tor].TAG¶

Those files contain the time evolution of the poloidal and toroidal kinetic and magnetic spectra for a given range of spherical harmonic orders \(m\). There are four kinds of those files that correspond to the aforementioned spectra, namely am_kin_pol.TAG, am_kin_tor.TAG, am_mag_pol.TAG and am_mag_tor.TAG. The calculations are done in the subroutine get_amplitude. The structure of the output files is the same for the four outputs (fortran unformatted files):

!-------------
! Line 1
!-------------

time(t=0), e_p_m(m=0,t=0), e_p_m(m=1,t=0), ..., e_p_m(m=m_max_modes,t=0)

...

!-------------
! Line N
!-------------

time(t=N), e_p_m(m=0,t=N), e_p_m(m=1,t=N), ..., e_p_m(m=m_max_modes,t=N)

...

Those files can be read using the python class MagicTs with the following options:

>>> # Read the file am_mag_pol.ext
>>> ts = MagicTs(field='am_mag_pol', tag='ext')
>>> # Print the time
>>> print(ts.time)
>>> # Print the energy content in m=11 for all times
>>> print(ts.coeffs[:, 11])

Spectra¶

`kin_spec_#.TAG`¶

`mag_spec_#.TAG`¶

`u2_spec_#.TAG`¶

`T_spec_#.TAG`¶

`Xi_spec_#.TAG`¶

`Phase_spec_#.TAG`¶

2D spectra `2D_[kin|mag]_spec_#.TAG` and `2D_[kin|mag]_spec_ave.TAG`¶

`kin_spec_ave.TAG`¶

`mag_spec_ave.TAG`¶

`T_spec_ave.TAG`¶

`Xi_spec_ave.TAG`¶

`Phase_spec_ave.TAG`¶

`dtVrms_spec.TAG`¶

2D force balance spectra `2D_dtVrms_spec.TAG`¶

2D spectra am_[kin|mag]_[pol|tor].TAG¶

Table of Contents

Previous topic

Next topic

This Page

No. of column	Contents
1	degree / order
2	Poloidal kinetic energy versus degree
3	Poloidal kinetic energy versus order
4	Toroidal kinetic energy versus degree
5	Toroidal kinetic energy versus order
6	Poloidal kinetic energy at \(r=r_o-0.01\) versus degree
7	Poloidal kinetic energy at \(r=r_o-0.01\) versus order
8	Axisymmetric poloidal kinetic energy versus degree
9	Axisymmetric toroidal kinetic energy versus degree

No. of column	Contents
1	degree / order
2	Poloidal magnetic energy in the outer core versus degree
3	Poloidal magnetic energy in the outer core versus order
4	Toroidal magnetic energy in the outer core versus degree
5	Toroidal magnetic energy in the outer core versus order
6	Poloidal magnetic energy in the inner core versus degree
7	Poloidal magnetic energy in the inner core versus order
8	Toroidal magnetic energy in the inner core versus degree
9	Toroidal magnetic energy in the inner core versus order
10	Poloidal magnetic energy at the CMB versus degree
11	Poloidal magnetic energy at the CMB versus order
12	Poloidal magnetic energy at the CMB

No. of column	Contents
1	degree / order
2	Poloidal contribution per degree in the outer core
3	Poloidal contribution per order in the outer core
4	Toroidal contribution per degree in the outer core
5	Toroidal contribution per order in the outer core
6	Axisymmetric poloidal contribution versus degree
7	Axisymmetric toroidal contribution versus degree

No. of column	Contents
1	degree / order
2	Square temperature/entropy versus degree
3	Square temperature/entropy versus order
4	Square temperature/entropy at the ICB versus degree
5	Square temperature/entropy at the ICB versus order
6	Square radial derivative of temperature/entropy at the ICB versus degree
7	Square radial derivative of temperature/entropy at the ICB versus order

No. of column	Contents
1	degree / order
2	Square chemical composition versus degree
3	Square chemical composition versus order
4	Square chemical composition at the ICB versus degree
5	Square chemical composition at the ICB versus order
6	Square radial derivative of chemical composition at the ICB versus degree
7	Square radial derivative of chemical composition at the ICB versus order

No. of column	Contents
1	degree / order
2	Square of the phase field as a function of degree
3	Square of the phase field as a function of order

No. of column	Contents
1	degree / order
2	Time-averaged poloidal kinetic energy versus degree
3	Time-averaged poloidal kinetic energy versus order
4	Time-averaged toroidal kinetic energy versus degree
5	Time-averaged toroidal kinetic energy versus order
6	Time-averaged axisymmetric poloidal kinetic energy versus degree
7	Time-averaged axisymmetric toroidal kinetic energy versus degree
8	Standard deviation of poloidal kinetic energy versus degree
9	Standard deviation of poloidal kinetic energy versus order
10	Standard deviation of toroidal kinetic energy versus degree
11	Standard deviation of toroidal kinetic energy versus order
12	Standard deviation of axisym. poloidal kinetic energy versus degree
13	Standard deviation of axisym. toroidal kinetic energy versus degree

No. of column	Contents
1	degree / order
2	Time-averaged poloidal magnetic energy in the outer core versus degree
3	Time-averaged poloidal magnetic energy in the outer core versus order
4	Time-averaged toroidal magnetic energy in the outer core versus degree
5	Time-averaged toroidal magnetic energy in the outer core versus order
6	Time-averaged poloidal magnetic energy at the CMB versus degree
7	Time-averaged poloidal magnetic energy at the CMB versus order
8	Standard deviation of the poloidal magnetic energy in the outer core versus degree
9	Standard deviation of the poloidal magnetic energy in the outer core versus order
10	Standard deviation of the toroidal magnetic energy in the outer core versus degree
11	Standard deviation of the toroidal magnetic energy in the outer core versus order
12	Standard deviation of the magnetic energy at the CMB versus degree
13	Standard deviation of the magnetic energy at the CMB versus order

No. of column	Contents
1	Spherical harmonic degree/order
2	Time-averaged RMS temperature/entropy versus degree
3	Time-averaged RMS temperature/entropy versus order
4	Time-averaged RMS temperature/entropy at the ICB versus degree
5	Time-averaged RMS temperature/entropy at the ICB versus order
6	Time-averaged temperature/entropy gradient at the ICB versus degree
7	Time-averaged temperature/entropy gradient at the ICB versus order
8	Standard deviation of the temperature/entropy versus degree
9	Standard deviation of the temperature/entropy versus order
10	Standard deviation of the temperature/entropy at the ICB versus degree
11	Standard deviation of the temperature/entropy at the ICB versus order
12	Standard deviation of the temperature/entropy gradient at the ICB versus degree
13	Standard deviation of the temperature/entropy gradient at the ICB versus order

No. of column	Contents
1	Spherical harmonic degree/order
2	Time-averaged squared composition versus degree
3	Time-averaged squared composition versus order
4	Time-averaged squared composition at the ICB versus degree
5	Time-averaged squared composition at the ICB versus order
6	Time-averaged squared composition gradient at the ICB versus degree
7	Time-averaged squared composition gradient at the ICB versus order
8	Standard deviation of the squared composition versus degree
9	Standard deviation of the squared composition versus order
10	Standard deviation of the squared composition at the ICB versus degree
11	Standard deviation of the squared composition at the ICB versus order
12	Standard deviation of the squared composition gradient at the ICB versus degree
13	Standard deviation of the squared composition gradient at the ICB versus order

No. of column	Contents
1	Spherical harmonic degree/order
2	Time-averaged square phase field versus degree
3	Time-averaged square phase field versus order
4	Standard deviation of the squared phase field field versus degree
5	Standard deviation of the squared phase field field versus order

No. of column	Contents
1	degree + 1
2	Time-averaged Inertia versus degree
3	Time-averaged Coriolis force versus degree
4	Time-averaged Lorentz force versus degree
5	Time-averaged Advection term versus degree
6	Time-averaged Viscous force versus degree
7	Time-averaged thermal Buoyancy versus degree
8	Time-averaged chemical Buoyancy versus degree
9	Time-averaged Pressure gradient versus degree
10 \| Time-averaged Pressure/Coriolis balance versus degree
11	Time-averaged Pressure/Coriolis/Lorentz balance versus degree
12	Time-averaged Pressure/Coriolis/Buoyancy balance versus degree
13	Time-averaged Pressure/Coriolis/Lorentz/Buoyancy balance versus degree
14	Time-averaged Coriolis/Lorentz balance versus degree
15	Time-averaged Pressure/Lorentz balance versus degree
16	Time-averaged Coriolis/Inertia/Buoyancy balance versus degree
17	Standard deviation of Inertia versus degree
18	Standard deviation of Coriolis force versus degree
19	Standard deviation of Lorentz force versus degree
20	Standard deviation of Advection term versus degree
21	Standard deviation of Viscous force versus degree
22	Standard deviation of thermal Buoyancy versus degree
23	Standard deviation of chemical Buoyancy versus degree
24	Standard deviation of Pressure gradient versus degree
25	Standard deviation of Pressure/Coriolis balance versus degree
26	Standard deviation of Pressure/Coriolis/Lorentz balance versus degree
27	Standard deviation of Pressure/Coriolis/Buoyancy balance versus degree
28	Standard deviation of Pressure/Coriolis/Lorentz/Buoyancy balance versus degree
29	Standard deviation of Coriolis/Lorentz balance versus degree
30	Standard deviation of Pressure/Lorentz balance versus degree
31	Standard deviation of Coriolis/Inertia/Buoyancy balance versus degree

Spectra¶

kin_spec_#.TAG¶

mag_spec_#.TAG¶

u2_spec_#.TAG¶

T_spec_#.TAG¶

Xi_spec_#.TAG¶

Phase_spec_#.TAG¶

2D spectra 2D_[kin|mag]_spec_#.TAG and 2D_[kin|mag]_spec_ave.TAG¶

kin_spec_ave.TAG¶

mag_spec_ave.TAG¶

T_spec_ave.TAG¶

Xi_spec_ave.TAG¶

Phase_spec_ave.TAG¶

dtVrms_spec.TAG¶

2D force balance spectra 2D_dtVrms_spec.TAG¶

2D spectra am_[kin|mag]_[pol|tor].TAG¶

`kin_spec_#.TAG`¶

`mag_spec_#.TAG`¶

`u2_spec_#.TAG`¶

`T_spec_#.TAG`¶

`Xi_spec_#.TAG`¶

`Phase_spec_#.TAG`¶

2D spectra `2D_[kin|mag]_spec_#.TAG` and `2D_[kin|mag]_spec_ave.TAG`¶

`kin_spec_ave.TAG`¶

`mag_spec_ave.TAG`¶

`T_spec_ave.TAG`¶

`Xi_spec_ave.TAG`¶

`Phase_spec_ave.TAG`¶

`dtVrms_spec.TAG`¶

2D force balance spectra `2D_dtVrms_spec.TAG`¶