# Geo-9¶

## Directory.¶

Data is stored in the following directory:

## Available data.¶

The following data for analysis are aviable:

Parameter file (original): main_input.org

Checkpoint data directory: Checkpoints

Global averaged data directory: G_Avgs

Sphere averaged data directory: Shell_Avgs

Shell spectrum data directory: Shell_Spectra

Longitudinal averaged data directory: AZ_Avgs

Fields on spheres directory: Shell_Slices

Equatorial fields directory: Equatorial_Slices

## Parameters.¶

The following parameters are used. See Input Parameters documentation for the definitions.

Name |
Parameter name |
Value |
---|---|---|

\(N_{r}\) |
n_r |
512 |

\(N_{\theta}\) |
n_theta |
1536 |

\(Np_{column}\) |
npcol |
256 |

\(Np_{row}\) |
nprow |
512 |

\(r_i / r_o\) |
aspect_ratio |
3.50E-01 |

\(r_o - r_i\) |
shell_depth |
1.00E+00 |

Chebyshev grid |
chebyshev |
.TRUE. |

rotation |
rotation |
.TRUE. |

magnetism |
magnetism |
.TRUE. |

viscous heating |
viscous_heating |
.FALSE. |

Ohmic heating |
ohmic_heating |
.FALSE. |

\(E\) |
Ekman_Number |
1.00E-07 |

\(Pr\) |
Prandtl_Number |
1.00E+00 |

\(Pm\) |
Magnetic_Prandtl_Number |
2.00E-01 |

\(Ra\) |
Rayleigh_Number |
6.00E+10 |

Non slip boundary |
no_slip_boundaries |
.TRUE. |

Fixed \(T\) at \(r_i\) |
fix_tvar_bottom |
.TRUE. |

\(T(r_i)\) |
T_bottom |
1.00E+00 |

Fixed \(T\) at \(r_o\) |
fix_tvar_top |
.TRUE. |

\(T(r_o)\) |
T_top |
0.00E+00 |

Reference type |
reference_type |
1 |

Heating type |
heating_type |
0 |

\(n_{g}\) |
gravity_power |
1.00E+00 |

Hyper-diffusion |
hyperdiffusion |
.TRUE. |

\(\alpha\) |
hyperdiffusion_alpha |
2.00E+00 |

\(\beta\) |
hyperdiffusion_beta |
9.00E+00 |

## Examples of visualized images.¶

Time evolution of kinetic energy density \(E_{kin} = \frac{1}{2} u^{2}\) and magnetic energy density \(E_{mag} = \frac{1}{2Pm E} B^{2}\) in the spherical shell as function of time normalized by the viscous diffusion time \(\tau_{\nu} = L^{2} / \nu\) from the first data output time.

Time evolution of the ratio of magetic to kinetic energy densities \(E_{mag} / E_{kin}\) in the spherical shell as function of time normalized by the viscous diffusion time \(\tau_{\nu} = L^{2} / \nu\) from the first data output time.

Radial magnetic field \(B_r\) at \(r = r_o - 0.000\) and \(t = 1.184 \times 10^{-3}\)

Radial component of the velocity field \(u_r\) at \(r = r_o - 0.632\) and \(t = 1.184 \times 10^{-3}\)

Temperature \(T\) at \(r = r_o - 0.632\) and \(t = 1.184 \times 10^{-3}\)

Longitudinal average of Temperature \(T\), (left), zonal velocity field \(u_\phi\), (middle), and zonal magnetic field \(B_\phi\), (right) in the fluid shell at \(t = 1.187 \times 10^{-3} \tau_{\nu}\).

Radial component of the velocity field \(u_r\) (left), \(z\)-component of the magnetic field \(B_z\) (middle), and temperature \(T\) (right) at the equatorial plane \(z = 0.0\) and at \(t = 1.184 \times 10^{-3} \tau_{\nu}\).

Magnetic energy density spectra as a function of spherical harmonic degree \(l\) at \(r = r_o - 0.000\) and \(t = 1.184 \times 10^{-3}\)

Kinetic energy density spectra as a function of spherical harmonic degree \(l\) at \(r = r_o - 0.632\) and \(t = 1.184 \times 10^{-3}\)