Geo-4

Directory.

Data is stored in the following directory:

Available data.

The following data for analysis are aviable:

Parameters.

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

Name

Parameter name

Value

\(N_{r}\)

n_r

256

\(N_{\theta}\)

n_theta

768

\(Np_{column}\)

npcol

128

\(Np_{row}\)

nprow

256

\(r_i / r_o\)

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-06

\(Pr\)

Prandtl_Number

1.00E-01

\(Pm\)

Magnetic_Prandtl_Number

5.00E-02

\(Ra\)

Rayleigh_Number

2.50E+09

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

4.00E+00

\(\beta\)

hyperdiffusion_beta

7.00E+00

Examples of visualized images.

../../../../_images/energy_trace146.png

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.

../../../../_images/me_ke_ratio3.png

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.

../../../../_images/Shell_Slices_Bz_03.png

Radial magnetic field \(B_r\) at \(r = r_o - 0.000\) and \(t = 8.947 \times 10^{-3}\)

../../../../_images/Shell_Slices_Ur_284.png

Radial component of the velocity field \(u_r\) at \(r = r_o - 0.570\) and \(t = 8.947 \times 10^{-3}\)

../../../../_images/Shell_Slices_temp_284.png

Temperature \(T\) at \(r = r_o - 0.570\) and \(t = 8.947 \times 10^{-3}\)

../../../../_images/AZ_Avgs146.png

Longitudinal average of Temperature \(T\), (left), zonal velocity field \(u_\phi\), (middle), and zonal magnetic field \(B_\phi\), (right) in the fluid shell at \(t = 8.947 \times 10^{-3} \tau_{\nu}\).

../../../../_images/Equatorial_Slice3.png

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 \(t = 8.947 \times 10^{-3} \tau_{\nu}\).

../../../../_images/SSpectr_ME_03.png

Magnetic energy density spectra as a function of spherical harmonic degree \(l\) at \(r = r_o - 0.000\) and \(t = 8.947 \times 10^{-3}\)

../../../../_images/SSpectr_KE_2137.png

Kinetic energy density spectra as a function of spherical harmonic degree \(l\) at \(r = r_o - 0.689\) and \(t = 8.947 \times 10^{-3}\)