| 1 |
edhill |
1.1 |
|
| 2 |
|
|
============================== |
| 3 |
|
|
Email from Nikolai Maximenko : |
| 4 |
|
|
============================== |
| 5 |
|
|
|
| 6 |
|
|
|
| 7 |
|
|
http://iprc.soest.hawaii.edu/~nikolai/ForJohnMarshall_1.dat.gz |
| 8 |
|
|
|
| 9 |
|
|
It's written as |
| 10 |
|
|
|
| 11 |
|
|
write(2,'(f7.3,f8.3,2f8.2,i5,2f9.2)') x,y,u,v,num,uu,vv |
| 12 |
|
|
|
| 13 |
|
|
The only difference from the previous file is two added columns |
| 14 |
|
|
containing <U'U'> and <V'V'> in (cm/s)^2, so that EKE = (<U'U'> + |
| 15 |
|
|
<V'V'>)/2 . |
| 16 |
|
|
|
| 17 |
|
|
Please notice that EKE requires more data than <V>, so that not all |
| 18 |
|
|
locations are good for the estimate. (For instance, if num = 0, |
| 19 |
|
|
<U'U'>=<V'V'>=0 .) Simple criterion that I would suggest to select bins |
| 20 |
|
|
with sufficient statistics |
| 21 |
|
|
is: |
| 22 |
|
|
|
| 23 |
|
|
- estimate the time that drifter typically spends within the bin: |
| 24 |
|
|
|
| 25 |
|
|
T = 0.25 * 111 km / |<V>| |
| 26 |
|
|
(|<V>|=sqrt(u^2+v^2) and u and v are in columns 3 and 4) |
| 27 |
|
|
(Other estimate can be sqrt(u^2+v^2+uu+vv). ) |
| 28 |
|
|
|
| 29 |
|
|
- estimate the number of independent measurements available for this bin |
| 30 |
|
|
|
| 31 |
|
|
N = num * 6 hours / T |
| 32 |
|
|
(num is in column 5) |
| 33 |
|
|
|
| 34 |
|
|
- select bins with N > N_0. I would expect that N_0 = 3 - 5 would give |
| 35 |
|
|
a pretty nice figure of the EKE. |
| 36 |
|
|
|
| 37 |
|
|
More accurate estimate of the "number of independent measurements" would |
| 38 |
|
|
require information on time scales of main processes at given locations |
| 39 |
|
|
(they are |
| 40 |
|
|
obviously different between the areas where ENSO or small eddies |
| 41 |
|
|
dominate) |
| 42 |
|
|
|
| 43 |
|
|
Comparison with the geostrophic velocities from satellite altimetry may |
| 44 |
|
|
require some extra caution, like: |
| 45 |
|
|
|
| 46 |
|
|
1. To avoid biases due to nonuniform drifter ensemble, altimetry |
| 47 |
|
|
velocities |
| 48 |
|
|
should be averaged over the drifter times and locations. |
| 49 |
|
|
|
| 50 |
|
|
2. Ekman velocities should be subtracted from drifter data. |
| 51 |
|
|
|
| 52 |
|
|
When doing qualitative, illustrative, comparison between drifters and |
| 53 |
|
|
altimetry these two issues can be considered as a potential sources of |
| 54 |
|
|
discrepancies. |
| 55 |
|
|
|
| 56 |
|
|
Good luck and Merry Christmas, |
| 57 |
|
|
|
| 58 |
|
|
Nikolai |