pg_utils.pg_model.forcing

Forcings in Plesio-Geostrophy Model

This module defines the available forces, which can be substituted into the placeholder variables of forces in the vorticity equation

Jingtao Min @ ETH-EPM, 09.2023

Module Attributes

Ls_sym

Placeholder: symmetric integral of the radial Lorentz force

Lp_sym

Placeholder: symmetric integral of the azimuthal Lorentz force

Lz_asym

Placeholder: antisymmetric integral of the axial Lorentz force

Le_p

Placeholder: the azimuthal Lorentz force in the equatorial plane

Ls_sym_expr

Expression: symmetric integral of the radial Lorentz force

Lp_sym_expr

Expression: symmetric integral of the azimuthal Lorentz force

Lz_asym_expr

Expression: antisymmetric integral of the axial Lorentz force

Le_p_expr

Expression: the azimuthal Lorentz force in the equatorial plane

Ls_sym_cg

Expression: symmetric integral of the radial Lorentz force in conjugate vars

Lp_sym_cg

Expression: symmetric integral of the azimuthal Lorentz force in conjugate vars

Lz_asym_cg

Expression: antisymmetric integral of the axial Lorentz force in conjugate vars

Le_p_cg

Expression: the azimuthal Lorentz force in the equatorial plane in conjugate vars

force_explicit

Mapping: placeholder symbols -> explicit exprs for PG vars

force_explicit_cg

Mapping: placeholder symbols -> explicit exprs for conjugate vars

Le_p_lin

Linearized form of azimuthal Lorentz force in the equatorial plane

Ls_sym_lin

Linearized form of \(\overline{L_s}\)

Lp_sym_lin

Linearized form of \(\overline{L_{\phi}}\)

Lz_asym_lin

Linearized form of \(\widetilde{L_z}\)

Ls_sym_lin_cg

Linearized form of \(\overline{L_s}\) in conjugate vars

Lp_sym_lin_cg

Linearized form of \(\overline{L_{\phi}}\) in conjugate vars

Lz_asym_lin_cg

Linearized form of \(\widetilde{L_z}\) in conjugate vars

Le_p_lin_cg

Linearized form of \(L_{\phi}^e\) in conjugate vars

force_explicit_lin

Mapping: placeholder symbols -> linearized explicit exprs for PG vars

force_explicit_lin_cg

Mapping: placeholder symbols -> linearized explicit exprs for conjugate vars