Some Sverdrup work

1. Curl and Sverdrup transport streamfunctions (link to C.R. dome work):
   FSU winds (1961-96)    ECMWF (1985-96)    FSU (1985-96)    ERS (1991-97)

2. Work with ERS winds (Aug 1991 - Jul 2000)
   1. Comparison with Quikscat: ERS mean curl (record-length and Quikscat period)   ERS and Quikscat mean curl (Quikscat period)  
   2. Comparison with FSU:
      
      1. Tau-x  (Near-Eq)
         
      2. Vector Tau  (Near-Eq)  (With stress magnitude)
         
      3. Curl  (Near-Eq)
         
      4. Streamfunction  (Near-Eq)
         
      5. Sverdrup U  (Near-Eq)
         
      6. Sverdrup P  (Near-Eq)
   3. Compare other curls: ERS - ECMWF - H+R - FSU  Add NCEP (same as H+R?)  Check ECMRA, too
   4. Another way to look at ECMRA curl (winds across the front): Tau-x  Tau-y
   5. Cold and warm season ERS curl  Detail 10°S-10°N, 150°W-70°W
   6. ERS and Quikscat Windspeed    
   7. ERS Sverdrup Streamfunction: 30°S-30°N  10°S-20°N  (extra contours)  Sverdrup zonal transport  
   8. Sverdrup zonal current (U_Sv, U_g, U_Ek: 30°S-30°N  (Near Eq)
   9. Sverdrup transport maxima in the NECC and NEC (ERS and FSU)
   10. Zonal transport: Sverdrup, ADCP, Ug
   11. Transport integrated over individual currents: All  Omit NEC and SEC(S)  SEC(N) only
   12. Zonal momentum balance along the equator:
       1. Compare dP/dx = Tau-x along equator (Johnson CTD P)   Overlay model dP/dx
       2. dP/dx as a function of Depth: dP/dx  d(DH)/dx
       3. Tau-x: Yearly means  Yearly anomalies
       4. Zonal mean zonal wind (time series)
   13. Annual cycles: 
           Curl  (Near-Eq)  Streamfunction  (Near-Eq)  Usv  (Near-Eq)  Bimonthly Curl: Curl  (Near-Eq)
           Sverdrup Transports: 150°E  180°  150°W  120°W
           Sverdrup Currents: SEC(S)  Eq(Positive)  SEC(N)  NECC  NEC

3. Work with Quikscat winds
   1. Comparing Sverdrup stuff: FSU and Quikscat:
      Tau-x   Tau-y   Curl   d/dy(Curl)   Curl(Tau/f)   Vg=(f/B)Curl(Tau/f)   Streamfunction   dP/dx   P   Ug   Ug at 150°E
      With difference maps:
      Tau-x   Tau-y   Curl   Curl(Tau/f)   Vg=(f/B)Curl(Tau/f)   (f/B)Curl(Tau)   Streamfunction  Vectors   dP/dx   P   Ug   Usv   Uek
      Terms of dP/dx:Pacific  Detail near Equator
      Sverdrup zonal current (Usv, Ug, Uek):Pacific  Detail near Equator
   2. Compare Sverdrup stuff, Wind and XBT: 
      Pressure  
      Meridional section of Ug, 140°E-170°E: 10°S-20°N  With Smoothed Quikscat  10°S-30°N
      Maps of zonal geostrophic transport: FSU-Quikscat-XBT  Same but with FSU during Quikscat year
   3. Sverdrup streamfunction and Integrated Pressure (Quikscat)
   4. Compare Quikscat (1 year mean) with ERS (1991-97 mean): Sverdrup pressure
          Zonal Transport: Pacific  N Pacific  145°E
   5. Sverdrup zonal geostrophic transport at 145°E  Compare XBT integrated geostrophic transport
   6. Check Quikscat year: compare with FSU winds that year only
   7. Compare Sverdrup P with obs (W Pacific) P from IFREMER XBTs

4. Work with the Gent/Cane model

   The pressure gradient in sigma coordinates is rather complicated.
   See /h/p/k/pacs/inverse/ers/pgfk.jnlb for the correct implementation of Gent/Cane (1989) eqn (55)!

   1. Mean currents at 180°-140°W: FSU winds: u  v  ERS winds: u  v
   2. Surface zonal current (ERS winds)
   3. Mean surface dp/dy (gd(sealevel)/dy)

      Looking at the nonlinear terms ...

   4. Compare total u and u_g: 160°E  180°  160°W  140°W  120°W  100°W   Surface layer
   5. Also show advective u:  160°E  180°  160°W  140°W  120°W  100°W   
   6. dP/dx and Tau-x (ERS winds, Johnson CTD, GC model)
   7. Sverdrup balance comparison (BV=Curl(Tau): 25°S-25°N  15°S-15°N
   8. Sverdrup and non-Sverdrup transport: Sverdrup  non-Sverdrup  Check the sum against total (u)
   9. Mean zonal transports: u_total, u_g, u_adv
   10. Compare full winds with Tau/10 ("linear") run: dP/dx and Tau-x  Sea level along the Equator  EUC (x,z)
   11. Check the computation of vu_y and vv_y using mean or time-dependent u and v
   12. Mean vu_y and vv_y:  Surface values: uu_x  vu_y  uv_x  vv_y   (y,z) section: (180°-140°W)
   13. Surface layer (u_Total-u_g) and -vv_y/f