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[ferret_users] Kinetic energy



Dear coleagues,

I'm trying to write a ferret script to calculate the variation of the volume-averaged kinetic energy. My objective is to analyze some pom2k runs. The variables saved in the netcdf files are:
+++++++++++++++++++++++++++++++++++++++++++++++++++++++
    currently SET data sets:
    1> ./r1.nc  (default)
 name     title                             I         J         K         L
 ZZ       sigma of cell centre             ...       ...       1:10      ...
 DX       grid increment in x              1:175     1:150     ...       ...
 DY       grid increment in y              1:175     1:150     ...       ...
 EAST_U   easting of u-points              1:175     1:150     ...       ...
 EAST_V   easting of v-points              1:175     1:150     ...       ...
 EAST_E   easting of elevation points      1:175     1:150     ...       ...
 EAST_C   easting of cell corners          1:175     1:150     ...       ...
 NORTH_U  northing of u-points             1:175     1:150     ...       ...
 NORTH_V  northing of v-points             1:175     1:150     ...       ...
 NORTH_E  northing of elevation points     1:175     1:150     ...       ...
 NORTH_C  northing of cell corners         1:175     1:150     ...       ...
 ROT      Rotation angle of x-axis wrt. e  1:175     1:150     ...       ...
 H        undisturbed water depth          1:175     1:150     ...       ...
 FSM      free surface mask                1:175     1:150     ...       ...
 DUM      u-velocity mask                  1:175     1:150     ...       ...
 DVM      v-velocity mask                  1:175     1:150     ...       ...
 RMEAN    horizontally-averaged rho        1:175     1:150     1:10      ...
 UAB      depth-averaged u                 1:175     1:150     ...       1:17
 VAB      depth-averaged v                 1:175     1:150     ...       1:17
 ELB      surface elevation                1:175     1:150     ...       1:17
 U        x-velocity                       1:175     1:150     1:10      1:17
 V        y-velocity                       1:175     1:150     1:10      1:17
 W        z-velocity                       1:175     1:150     1:10      1:17
 T        potential temperature            1:175     1:150     1:10      1:17
 S        salinity x rho / rhoref          1:175     1:150     1:10      1:17
 RHO      (density-1000)/rhoref            1:175     1:150     1:10      1:17
+++++++++++++++++++++++++++++++++++++++++++++++++++++++

Follows my script:

use pom2k

let area=dx*dy*fsm

let htot=h+elb

let volcol=area*htot

let vel=(u^2+v^2)^.5

let dens=(rho*1000+1000)

let velrho=vel^2*dens/2     <=========== at this point I should multiply by cell volume (each one along the vertical)

let ek=velrho[x=@sum,y=@sum,z=@sum]

let mke=ek/volcol

plot mke


The issue is: I have no idea how to calculate the volume of each cell, because I don't know the height of each cell. The only vertical variable saved by POM is zz, the mid point between two consecutive sigma levels. I was wondering if it would be possible to set a fixed height through an axis replacement, so I did:

define axis/z=0:5800:50/unit=meters/depth zdepth

let v_z=zaxreplace(vel,h*zz*-1,z[gz=zdepth])

let rho_z=zaxreplace(rho,h*zz*-1,z[gz=zdepth])

Now the height is 50 m, but how could I compute the operation for each cell along the vertical axis in a varying bathymetry???

I would appreciate your comments. If you think this script is cumbersome, suggestions would be welcomed! Thanks in advance.

Best regards,

Alex

--
Luiz Alexandre de Araujo Guerra
Aluno de Doutorado / Graduate student

Universidade Federal do Rio de Janeiro / Brazil
COPPE/PEnO



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