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Re: [ferret_users] Derivative and Integration Transformations units from grid



Hi Domingos,
The units of an integration over X are (VariableUnits)*(Xunits), e.g. velocity integrates to distance.  The units of the result when you integrate on a longitude/latitude grid are treated as noted below, from the "General information about transformations,
http://ferret.pmel.noaa.gov/Ferret/documentation/users-guide/variables-xpressions/XPRESSIONS#GeneralInfo
...When calculating integrals and derivatives (@IIN, @DIN, @DDC, @DDF, and @DDB) Ferret attempts to use standardized units for the grid coordinates. If the underlying axis is in a known unit of length Ferret converts grid box lengths to meters. If the underlying axis is in a known unit of time Ferret converts grid box lengths to seconds. If the underlying axis is degrees of longitude a factor of COSINE (latitude) is applied to the grid box lengths in meters.
So your units are now in terms of meters, or a 2D integration in terms of meters squared.

Ansley

Domingos Urbano wrote:
Dear all,

How do I certify myself about the grid units Ferret used during derivatives and integration?

I have a field of psi (stream function) in Sverdrups. After apply a central derivative (@ddc) to get U and V components the order of my field was 6 orders smaller.

Best,
Domingos.

yes? show grid psi
    GRID GTB1
 name       axis              # pts   start                end
 LON       LONGITUDE         1440mr   0.125E               0.125W
 LAT       LATITUDE           628 r   78.375S              78.375N
 normal    Z
 TIME      TIME               252 i   01-JAN-1988 00:00    01-DEC-2008 00:00
yes? 

--
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Dr. Domingos Urbano
Instituto Nacional de Pesquisas Espaciais - INPE
Rodovia Presidente Dutra, km 40
12630-000 - Cachoeira Paulista - SP - Brasil
tel: 55(12)3186.8552 fax: 55(12)3101.2835
              www.inpe.br/ingles/
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