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beta_dfdy_rossby
Compute the Rossby parameter [beta=df/dy] which is the meridional variation of the Coriolis parameter.
Available in version 6.6.2 and later.
Prototype
load "$NCARG_ROOT/lib/ncarg/nclscripts/csm/contributed.ncl" ; This library is automatically loaded
; from NCL V6.2.0 onward.
; No need for user to explicitly load.
function beta_dfdy_rossby (
lat [*] : numeric,
opt [1] : logical
)
return_val [dimsizes(lat)] : float or double
Arguments
latLatitudes (degrees).
optopt=False means use default value for the radius of the earth [6.37122e06 meters]. If opt=True and the attribute "rearth" is present, its value in meters will overwrite the default radius of the earth.
Return value
A variable of the same size and shape as lat.
Description
The Rossby parameter is the meridional variation of the coriolis_param. It is important in the generation of Rossby waves.
See Also
Examples
Example 1:
nlat = 37 lat = latGlobeF(nlat, "lat", "latitude", "degrees_north") beta = beta_dfdy_rossby(lat, False) print(beta) corp = coriolis_param(lat) print(sprintf("%7.2f", lat) +" "+sprintf("%10.6f", corp)+" "+sprintf("%10.6f", beta))The (edited) output:
Variable: beta
Type: float
Total Size: 148 bytes
37 values
Number of Dimensions: 1
Dimensions and sizes: [lat | 37]
Coordinates:
lat: [-90..90]
Number Of Attributes: 4
long_name : Rossby parameter: beta=df/dy
units : 1/(s-m)
info : meridional variation of the Coriolis parameter
www : https://en.wikipedia.org/wiki/Rossby_parameter
(0) -1.000589e-18
(1) 1.995066e-12
(2) 3.974947e-12
(3) 5.924576e-12
(4) 7.829115e-12
(5) 9.67407e-12
(6) 1.14454e-11
(7) 1.312962e-11
(8) 1.471392e-11
(9) 1.618624e-11
(10) 1.753537e-11
(11) 1.875105e-11
(12) 1.982401e-11
(13) 2.074611e-11
(14) 2.151032e-11
(15) 2.211081e-11
(16) 2.254304e-11
(17) 2.280369e-11
(18) 2.28908e-11
(19) 2.280369e-11
(20) 2.254304e-11
(21) 2.211081e-11
(22) 2.151032e-11
(23) 2.074611e-11
(24) 1.982401e-11
(25) 1.875105e-11
(26) 1.753537e-11
(27) 1.618624e-11
(28) 1.471392e-11
(29) 1.312962e-11
(30) 1.14454e-11
(31) 9.67407e-12
(32) 7.829115e-12
(33) 5.924576e-12
(34) 3.974947e-12
(35) 1.995066e-12
(36) -1.000589e-18
(0) ========
lat coriolis beta
(0) -90.00 -1.458400e-04 -1.000589e-18
(1) -85.00 -1.452850e-04 1.995066e-12
(2) -80.00 -1.436243e-04 3.974947e-12
(3) -75.00 -1.408706e-04 5.924576e-12
(4) -70.00 -1.370448e-04 7.829115e-12
(5) -65.00 -1.321759e-04 9.674070e-12
(6) -60.00 -1.263012e-04 1.144540e-11
(7) -55.00 -1.194651e-04 1.312962e-11
(8) -50.00 -1.117199e-04 1.471392e-11
(9) -45.00 -1.031244e-04 1.618624e-11
(10) -40.00 -9.374414e-05 1.753537e-11
(11) -35.00 -8.365038e-05 1.875105e-11
(12) -30.00 -7.292000e-05 1.982401e-11
(13) -25.00 -6.163464e-05 2.074611e-11
(14) -20.00 -4.988021e-05 2.151032e-11
(15) -15.00 -3.774617e-05 2.211081e-11
(16) -10.00 -2.532485e-05 2.254304e-11
(17) -5.00 -1.271079e-05 2.280369e-11
(18) 0.00 0.000000e+00 2.289080e-11
(19) 5.00 1.271079e-05 2.280369e-11
(20) 10.00 2.532485e-05 2.254304e-11
(21) 15.00 3.774617e-05 2.211081e-11
(22) 20.00 4.988021e-05 2.151032e-11
(23) 25.00 6.163464e-05 2.074611e-11
(24) 30.00 7.292000e-05 1.982401e-11
(25) 35.00 8.365038e-05 1.875105e-11
(26) 40.00 9.374414e-05 1.753537e-11
(27) 45.00 1.031244e-04 1.618624e-11
(28) 50.00 1.117199e-04 1.471392e-11
(29) 55.00 1.194651e-04 1.312962e-11
(30) 60.00 1.263012e-04 1.144540e-11
(31) 65.00 1.321759e-04 9.674070e-12
(32) 70.00 1.370448e-04 7.829115e-12
(33) 75.00 1.408706e-04 5.924576e-12
(34) 80.00 1.436243e-04 3.974947e-12
(35) 85.00 1.452850e-04 1.995066e-12
(36) 90.00 1.458400e-04 -1.000589e-18