Default time-series outputs

e_kin.TAG

This file contains the kinetic energy of the outer core, defined by

(1)\[\begin{split}\begin{aligned} E_k = \frac{1}{2}\int_V \tilde{\rho}u^2\,{\rm d}V & = E_{pol}+E_{tor} \\ & = \frac{1}{2}\sum_{\ell, m} \ell(\ell+1)\int_{r_i}^{r_o}\frac{1}{\tilde{\rho}}\left[ \frac{\ell(\ell+1)}{r^2}|W_{\ell m}|^2+\left|\frac{{\rm d} W_{\ell m}}{{\rm d} r}\right|^2 \right]\, {\rm d}r \\ & +\frac{1}{2}\sum_{\ell, m} \ell(\ell+1) \int_{r_i}^{r_o}\frac{1}{\tilde{\rho}}|Z_{\ell m}|^2\,{\rm d} r \end{aligned}\end{split}\]

The detailed calculations are done in the subroutine get_e_kin. This file contains the following informations:

No. of column

Contents

1

time

2

poloidal energy

3

toroidal energy

4

axisymmetric poloidal energy

5

axisymmetric toroidal energy

6

equatorially-symmetric poloidal energy

7

equatorially-symmetric toroidal energy

8

equatorially-symmetric and axisymmetric poloidal energy

9

equatorially-symmetric and axisymmetric toroidal energy

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

>>> # To stack all the e_kin.TAG files of the current directory
>>> ts = MagicTs(field='e_kin', all=True)
>>> # To only read e_kin.N0m2
>>> ts = MagicTs(field='e_kin', tag='N0m2')

e_mag_oc.TAG

This file contains the magnetic energy of the outer core, defined by

(2)\[\begin{split}\begin{aligned} E_m = \frac{1}{2}\int_V B^2\,{\rm d}V & = E_{pol}+E_{tor} \\ & = \frac{1}{2}\sum_{\ell, m} \ell(\ell+1)\int_{r_i}^{r_o}\left[ \frac{\ell(\ell+1)}{r^2}|b_{\ell m}|^2+\left|\frac{{\rm d} b_{\ell m}}{{\rm d} r}\right|^2 \right]\, {\rm d}r \\ & +\frac{1}{2}\sum_{\ell, m} \ell(\ell+1) \int_{r_i}^{r_o}|j_{\ell m}|^2\,{\rm d} r \end{aligned}\end{split}\]

The detailed calculations are done in the subroutine get_e_mag. This file contains the following informations:

No. of column

Contents

1

time

2

outer core poloidal energy

3

outer core toroidal energy

4

outer core axisymmetric poloidal energy

5

outer core axisymmetric toroidal energy

6

outside potential field energy

7

outside axisymmetric potential field energy

8

equatorially-aymmetric poloidal energy

9

equatorially-aymmetric toroidal energy

10

equatorially-aymmetric and axisymmetric poloidal energy

11

equatorially-asymmetric and axisymmetric toroidal energy

12

outside potential field energy

13

outside potential field axisymmetric energy

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

>>> # To stack all the e_mag_oc.TAG files of the current directory
>>> ts = MagicTs(field='e_mag_oc', all=True)
>>> # To only read e_mag_oc.N0m2
>>> ts = MagicTs(field='e_mag_oc', tag='N0m2')

e_mag_ic.TAG

This file contains the magnetic energy of the inner core. The detailed calculations are done in the subroutine get_e_mag. This file contains the following informations:

No. of column

Contents

1

time

2

inner core poloidal energy

3

inner core toroidal energy

4

inner core axisymmetric poloidal energy

5

inner core axisymmetric toroidal energy

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

>>> # To stack all the e_mag_ic.TAG files of the current directory
>>> ts = MagicTs(field='e_mag_ic', all=True)
>>> # To only read e_mag_ic.N0m2
>>> ts = MagicTs(field='e_mag_ic', tag='N0m2')

rot.TAG

This files contains the rotation of the inner core and the mantle. Output concerning the rotation of inner core and mantle. This file is written by the subroutine write_rot.

No. of column

Contents

1

time

2

Inner core rotation rate

3

Lorentz torque on inner core

4

viscous torque on inner core

5

mantle rotation rate

6

Lorentz torque on mantle

7

viscous torque on mantle

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

>>> # To stack all the rot.TAG files of the current directory
>>> ts = MagicTs(field='rot', iplot=False, all=True)

dipole.TAG

This file contains several informations about the magnetic dipole. This file is written by the subroutine get_e_mag. The maximum degree used to compute columns 6 and 15 is given by l_geo.

No. of column

Contents

1

time

2

tilt angle (colatitude in degrees) of the dipole

3

longitude (in degress) of dipole-pole

4

relative energy of the axisymmetric dipole

5

relative energy of the axisymmetric dipole at the CMB

6

energy of the axisymmetric dipole at the CMB normalized with the total energy up to spherical harmonic degree and order 11

7

relative energy of the total (axisymmetric and equatorial) dipole

8

relative energy of the total (axisymmetric and equatorial) dipole in the outer core

9

relative energy of the total dipole (axisymmetric and equatorial) at the CMB

10

energy of the total (axisymmetric and equatorial) dipole at the CMB

11

energy of the axisymmetric dipole at the CMB

12

energy of the dipole

13

energy of the axisymmetric dipole

14

magnetic energy at the CMB

15

magnetic energy up to spherical harmonic degree and order 11

16

ratio between equatorial dipole energy and equatorial poloidal energy

17

difference between energy at the CMB and equatorial symmetric energy at the CMB, normalized by energy at the CMB

18

difference between energy at the CMB and axisymmetric energy at the CMB, normalized by energy at the CMB

19

difference between total energy and equatorial symmetric part of the total energy, normalized by the total energy

20

difference between total energy and axisymmetric part of the total energy, normalized by the total energy

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

>>> # To stack all the dipole.TAG files of the current directory
>>> ts = MagicTs(field='dipole', all=True)

par.TAG

This files contains the outputs of several parameters that describe flow and magnetic fields (Reynolds number, Elsasser number, flow lengthscales, etc.). This file is written by the subroutine output.

No. of column

Contents

1

time

2

(magnetic) Reynolds number

3

Elsasser number

4

Local Rossby number Rol

5

Relative geostrophic kinetic energy

6

Total dipolarity

7

CMB dipolarity

8

Axial flow length scale dlV

9

Flow length scale dmV

10

Flow length scale dpV

11

Flow length scale dzV

12

Dissipation length scale lvDiss

13

Dissipation length scale lbDiss

14

Magnetic length scale dlB

15

Magnetic length scale dmB

16

Elsasser number at CMB

17

Local Rol based on non-ax. flow

18

Convective flow length scale dlVc

19

Peak of the poloidal kinetic energy

20

CMB zonal flow at the equator

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

>>> # To stack all the par.TAG files of the current directory
>>> ts = MagicTs(field='par', all=True)