Geo-9

Directory.

Data is stored in the following directory:

• ryadav/ensemble4/Pm0.2_Pr1_eta0.35_Ek1E-7_Ra3E10_no-slip_dyn

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 \(t = 1.184 \times 10^{-3}\)