Walling_documentation
This script contains multiple functions listed below with their descriptions:
GRACEconstants
The function converts the rectangular (L+1)x(2L+1) matrix field, containing spherical harmonics coefficients in /S|C\ storage format into a square (L+1)x(L+1) matrix in |C\S| format. (inverse of cs2sc)
field the rectangular (L+1)x(2L+1) matrix FIELD, containing spherical harmonics coefficients in /S|C\ storage format
cs square (L+1)x(L+1) matrix in |C\S| format
The function converts the storage format into a square (L+1)x(L+1) matrix in |C\S| format to rectangular (L+1)x(2L+1) matrix field, containing spherical harmonics coefficients in /S|C\ . (inverse of sc2cs)
field the square (L+1)x(L+1) matrix FIELD , containing spherical harmonics coefficients in |C\S| storage format
cs rectangular (L+1)x(2L+1) matrix in /S|C\format
This function returns the upward continuation terms, which are the field values at a height above the earth's radius.
degree the spherical harmonic degree in a scalar or vector format, integer
height the height above the mean Earth radius in [m] in a scalar or vector format
uc the upward continuation terms
returns the interpolated Love numbers of the Earth up to degree 200. Love numbers are a representation of the rigidity of the Earth.
lmax the maximum degree
kn the Love number k
for a degree lmax, it computes the Love and Shida number (l) of the Earth for different reference frames (provided by Olivier Francis from the PREM Earth model for selected degrees)
lmax the maximum degree
frame a string referring to the frame of reference
kn the Love number k
hn the Love number h
ln the Love number l
This script contains multiple functions listed below with their descriptions:
The function yields the eigenvalues (isotropic spectral transfer) for switching between the following gravity related quantities:
• gravitational potential [m2/s 2 ]
• geoid height [m]
• gravity disturbances [mGal]
• gravity anomaly [mGal]
• 2nd radial derivative of the field [E]
• slope [arcsec]
• equivalent water thickness [m]
• surface mass density
• coefficient dependent
lmax the maximum degree
fstr string for the relevant gravity related quantity with the following parameters
none least squares
geoid weighted least squares
dg or gravity gravity anomaly, potential
tr gravity disturbance
trr (d^2/dr^2)
slope block mean values
water equivalent water thickness
smd surface mass density
height vertical displacements
tf the transfer function
GRACEconstants, GRACEpy