ORCA page 2

This page shows plots made while finally getting serious about the annual cycle WBC!
(Almost all this work concerns the annual cycle)

  1. Vectors on the B-grid:
    1. Mean velocity, level by level (25 figures)
    2. Mean transport: Top to bottom   0-318m   318m-bottom   
    3. Mean meridional transport
    4. Seasonal vectors (25 figures)   Overlay shaded v-component   Extend region to east (include NC/Vanuatu/Fiji)
    5. Seasonal transport anomaly maps: 0-1220m   Full depth   Meridional component
    6. Seasonal integrated transport maps to show above/below thermocline variability: 
          Coral SeaExtend to east (include NC/Vanuatu/Fiji)
      1. Totals0-318m      318m-bottom            0-318m318m-bottom   Top-to-bottom
      2. Anomalies      0-318m318m-bottom0-318m318m-bottom
          2b. Combined (Side-by-side combined stack)
          2c. 6 bimonths0-318m318m-bottom
      3. 1 cpy harmonics (u,v)0-318m318m-bottom   (blank for low amplitude)
      4. Variance ellipses    Example of a variance ellipse(2)
      0-318m318m-bottom
            (Omit vectors)0-318m318m-bottom0-318m318m-bottom
            Different level combinations
            Crosses not ellipses   (pdf)
            Final version for paper (0-2060m):   Gif   pdf
      4b. InterannualInterannual (various levels)
      5. 1 cpy harmonics along variance ellipse major axes, various displays:
          a. Vectors Amp*exp{i*theta}:   Original   Adjusted   Shade region (Outdated)Below 318m
          b. Amplitude and phase contours: 0-318m and 318m-bottom
          c. Vector harmonics:
             i. Plain:0-318m318m-bottom
             ii. Colored sticks:0-318m318m-bottom
             iii. Sticks by 2:0-318m318m-bottom
             iv. Colored vectors:0-318m318m-bottom
             v. Colored squares:0-318m318m-bottom0-318m318m-bottom   Top-to-bottom
             vi. Vectors show direction and magnitude (not phase), colors show phase:
              Simple:0-318m318m-bottom0-318m (test skip in x)
              Line arrows (0-318m):All   (1°x)Thick   (40m scale)Thick-5c   (5c2)   Sq Root scale   0.75 power scale
              Line arrows (318m-bottom):   ThickThick-5c   (5c2) Sq Root scale   0.75 power scale
              Different bottom choices5c3=318m downward5c4=0m downward
              Compare CARS:(Ellipses and arrows on CARS page)
              Final version for paper (0-2060m):   gif   pdf
              Combined variance ellipses and vector harmonics for paper:   gif   pdf   To 180°
              Compare TOPEX/Jason surface u_g:   gif    pdf
             vii. Variance fraction:0-318m318m-bottom
             viii. Testing the ±180° ambiguity of the major axis (also see vectors in 5.a above):
                   Unadjusted 0-318m318m-bottomPhase: 0-318m318m-bottom
                   Unadjusted +180°0-318m318m-bottomPhase: 0-318m318m-bottom
                   Adjusted phase: 0-318m318m-bottomDifference:  0-318m318m-bottom
    7. Movie of annual cycle transport (715 Mb animated gif, 24 frames)
    8. Combined EOFs of (u,v) transport: Below 318m   Above 318m   Overlaid PCs 1-4
         Amplitude of velocity for EOFs 1-2   Variance ellipses of EOF reconstruction
    9. Colored square transport harmonics above specified isopycnals (very crude, especially for shallow isopycnals):
         28   27.5   27   26.5   26   26.5   25   24.5   24

  2. Consistency checks on the vertical structure: harmonics of SSH, T, etc:
      SSH:   Amp/phase maps (S Pacific)   SSH (squares; west only)   v_g from SSH
    1. Isotherm displacement sections:   13°S   (squares)   17°S   (squares)
      Zonal section along 163°E
    2. Isotherm displacement maps:   182m   217m   272m   364m   512m   732m   1033m   1406m   1831m   2290m   
    3. Salinity displacement maps:   182m   217m   272m
    4. Harmonic of ORCA Z15
    5. ORCA zonal transport at 162°E
    6. Harmonic of ORCA v at 29°S
    7. ORCA SSH along the western boundary: Coastal anomalies   Ridgway/Godfrey 97 Fig.4: ORCA region   R/G 97 region

  3. Estimating WBC transport:
    Three methods: Plots below show results from all three methods:
          a. Mean WBC transport (integral over x and z):   Hand     NGCC    ALL
          b. Mean WBC velocity (y,z):HandNGCCALL (Transport/depth)
          c. 4 seasons of WBC velocity (y,z):HandNGCCALL (Transport/depth)   1 cpy harmonic   Average along coast (old)
          d. Climatology of integrated transport (y,t):
                1. TotalsHandNGCCALL   To 7°S
                2. AnomaliesHandNGCCALL   To 7°S
           e. Harmonic of WBC transport comparing the 3 methods
           f. A 4th (early) method was just to average the 3, 5 or 7 gridpoints closest to the coast:  sbx:3   sbx:5   sbx:7   
  4. Bifurcation latitude

  5. Transport anomalies across the boundaries of a box around the Coral Sea: 
    1. Mean sections
    2. Time series
    3. Transport anomaly totals
      Key: Au-PNG = Torres Strait,
      PNG-GC = Along 9.2°S from PNG to Guadalcanal,
      GC-30°S = Along 160°E from GC to 30°S,
      Along 30°S = From 160°E to the coast of Au,
      PNG-GC-30°S combines PNG-GC and GC-30°S
    4. Transport at 30°S
    5. EAC speed (compare R&G Fig 3): 28.5°S speed anomalies (pos Sward!)   v[j=1:6]

    6. Statistics of transport across 162°E:
      1. Mean u ORCA and CARS   (162°-165°E)   (overlay T)
      2. Mean transport y=@iin   (162°-165°E)
        Different versions of Fig.3: Narrow plot   160°W   Combined longitudes
      3. RMS ORCA annual and interannual   (k=1:18 only)
      4. 1 cpy harmonics of ORCA, CARS and RW transport: 162°E   (163°-167°E)
    7. CARS and ORCA mean transport map   (pdf)
    8. Mean and RMS of ORCA EAC at 30°S
    9. Mean and 1 cpy zonal sections across the GBRUC (14 plots)
    10. Streamfunction for paper   (pdf)   (Final gif version)
          ORCA streamfunction and CARS DH: gif   pdf
    11. ORCA and CARS U (both rel 2000m): gif   pdf   (ORCA to bottom)
      Some further testing: U to and relative to 2000m   U below 2000m and section at 175°E   Sections at 165° and 170°E
      Do it with polyvec! Outlined   Not outlined   Scale vectors by sqrt(magnitude)
    12. ORCA and CARS u at various levels

  6. Wind climatology:
    1. Bimonthly Tau: Climatology    Anomalies
    2. Bimonthly Curl: Climatology    Anomalies
    3. Seasonal Tau: Climatology    Anomalies
    4. Seasonal Curl: Climatology    Anomalies
    5. (y,t) time series:
      155°E-165°EValuesAnomalies
      180°-170°WValuesAnomalies
      100°W-90°WValuesAnomalies
      RMS curl at the 3 longitudes
    6. 1 cpy harmonics (Taux, Tauy, Curl)   (S Pacific curl)
      (Basinwide harmonics: Taux   Tauy)
    7. Harmonic of Curl(Tau/f): Amp and phase   Square harmonics
    8. Meridional transport that can be derived from the winds and Sverdrup balance (within the Coral Sea):
      1. Mean meridional transport maps: Ekman   Sverdrup   Geostrophic
      2. Seasonal Ekman transport maps: Vectors   Maps of meridional component
      3. Transport integrated from the coast to 155°E: 
        1. Mean Ekman   
        2. Seasonal time series (y,t):  Ekman   Sverdrup   Geostrophic   (Compare ORCA)

  7. Rossby model western boundary annual cycle: 
      (positive h = deep thermocline)
    1. Rossby solution: h   y=sbx:5   No damping   u
    2. RMS h, compare solution relative to 165°E
    3. Harmonic maps of wind forcing and Rossby/Ekman solutions:
      1. Curl(Tau/f)   (to 7°S)
        (1/c_r)Curl(Tau/f)
      2. Rossby solution h   (to 7°S)   (to 10°N)
           Compare ORCA Z15   (to 7°S)   (Blank low amplitude)   CARS
      3. Ekman solution h   Difference = wave-like part of RW solution
      4. Rossby solution from Chen/Qiu method
      5. Rossby solution zonal transport U:   Map
           Line plots: U on the WB   U along 162°E   Overlay ORCA   (Include above 318m separately)
      6. RMS of Rossby solution maps:   h (to 4°S,140°W)   U   (to 4°S,140°W)
      7. Variance ellipses of Rossby solution velocity:  
           Ellipses   Square harmonics   (to 4°S,140°W)
           Harmonic vectors   Include WBC   ORCA and RW side-by-side
           Vectors rel. various levels: 511m   732m   1033m   
    4. RW WBC transport = (c^2/f)Delta-h, Delta-h = h at WB:
      1. Unsmoothed: Full winds   Winds W of 165°E only   Difference (effect of E Pacific winds)
      2. Smoothed y=sbx:3 Full winds   Winds W of 165°E only   Difference (effect of E Pacific winds)
    5. Harmonic of Rossby solution along the western boundary
         (Full winds, E and W of 165°E)
      1. Unsmoothed   y=sbx:3   Extend to Eq   Overlay actual ORCA WBC transport ("ALL-EAC recirc")
        Checks and such (old, to 156°E only): No damping   Above 318m   Below 318m
        Compare damping to no damping
      2. Note Rossby phase lag predicted by Chen-Qiu 04   With damping (???)   Chen/Qiu predicted RW h
    6. Godfrey (1975) shows how to find the western boundary height due to incoming Rossby waves:
      (Godfrey solution is relative to 30°S)
      1. Interior (RW at W-most gridpoint)
      2. h_w_b (Godfrey B5)
      3. Height difference across WBC
      4. WBC transport a la KL06 eq 3 (Interior RW part only)
      5. WBC transport (rel 30°S) from Godfrey (B5)
      6. Difference due to Godfrey formulation
        Newer plots:
      7. Term-by-term breakdown of Godfrey Eq(3): Rel. 29.5°S   Rel. 27.5°S   Rel. 25.5°S
      8. WBC harmonics rel various lats: Rel. 29.5°S and 27.5°S   (Add to ORCA)   Rel. 25.5°S   (Add to ORCA)   
        Overlays of many lats: Unsmoothed   j=@sbx:3   Blanked   
      9. Remakes of Fig.9, y_s=25.5°S: Rel.zero   Rel.ORCA   
        Show pieces of eq(5) (harmonic): All terms   Just h_RW term
        Reverse phase: Rel.ORCA   Omit E and W Pacific winds   (pdf)
        Check ORCA relative to shallow depths: 732m   512m   Total transport above 512m   
      10. WBC harmonics at all lats (contours): Amplitude   Phase   Vector harmonic   Detail   
    7. Compare NCJ, NVJ, SEC along 160°E: CARS, ORCA, Rossby model: Jet transport   Zonal transport (y,t)
      Checks on jet transport figure:   Jet transports, Overlay ORCA full-depth (Original was only to k=18=318m)
      More checks (vertical integral of ORCA jets):   NVJ     NCJ

  8. Compare Tasman Box Hi-Res XBT currents on PX30
    1. Mean regional vectors showing PX30 sampling
    2. Mean temperatures on PX30
    3. Transport above 12°C:
      1. Mean transport above 12°C, integrated from Fiji   (Rel 1406m)
      2. Annual cycle of transport (x,t) above 12°C
      3. Annual cycle of total transport above 12°C    (Overlay 3-month RM)    (Overlay 1 and 2 cpy harmonics)   (Rel 1406mp)
    4. Top-to-bottom transport:
      1. Mean transport, integrated from Fiji
      2. Annual cycle of transport (x,t)
      3. Annual cycle of total transport    (Overlay 1 and 2 cpy harmonics)
    5. Overlay comparisons (Total and above and below 12°C):
      1. Mean transport, integrated from Fiji
      2. Annual cycle of transport (x,t) below 12°C
      3. Annual cycle of total transport

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