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Re: [ferret_users] Kinetic energy



Hi Luiz,
The things you're trying to do look reasonable.  I have not studied your script in detail, but the use of ZAXREPLACE looks correct.  To see what the calculation is doing, try some SHADE plots of slices in X-Z or Y-Z. The zazreplace will take any portion of the input axis that overlaps the output axis and put that into the cell.  Note that there are also some other zaxreplace functions which do the calculation in diffrent ways, zaxreplace_avg,l zaxrplace_bin, zaxreplace_lin.  There is also a zaxreplace_zlev, which I think would do the same calculation as your zaxreplace(rho,h*zz*-1,z[gz=zdepth])

Ansley



Luiz Alexandre de Araujo Guerra wrote:

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



-- 

~>   ~>   ~>   ~>   ~>   ~>   ~>   ~>   ~>   ~>   ~> 

Ansley Manke, NOAA/PMEL   ansley.b.manke@noaa.gov
7600 Sand Point Way NE, Seattle WA
Phone 206-526-6246,  FAX 206-526-6744


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