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社区首页 >专栏 >气象编程 | 水汽通量:水汽通量散度(Moisture Flux Convergence)以及垂直积分

气象编程 | 水汽通量:水汽通量散度(Moisture Flux Convergence)以及垂直积分

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MeteoAI
发布2020-12-22 15:19:03
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发布2020-12-22 15:19:03
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文章被收录于专栏:MeteoAI

mfc_div_1.ncl: Calculate various divergence and moisture quantities including Vertically Integrated Moisture Flux Convergence (VIMFC). VIMFC has a high correlation with frontal and convective activity. Positive values indicate net precipitation. The following equation is implemented within mfc_div_1.ncl

This example uses uv2dvF_Wrap [uv2dvF] because the grid is a global fixed grid. For global gaussian, uv2dvG_Wrap [uv2dvG] should be used. For a regional grid uv2dv_cfd should be used.

mfc_div_1.ncl

代码语言:javascript
复制
;*************************************************
; mfc_div_1.ncl
;
; Concepts illustrated:
;   - Read daily mean wind components, humidity and sfc. pressure 
;     from different files
;   - Reorder the input (N==>S) grid order to (S==>N) via NCL syntax  ::-1
;   - Calculate mass weightined layer thickness [units="kg/m2"]
;   - Calculate moisture flux [uq, vq]             
;   - Calculate moisture flux divergence using spherical harmonics              
;   - Integrate the moisture flux divergence using mass weighting 
;   - Plot a number of quantities
;*************************************************
;---Calculate the Horizontal Moisture Flux Convergence [MFC]
;*************************************************
;---High frequency source data: hourly/3hr/6hr/12hr/daily .... NOT monthly values
;---References:
;---http://www.cgd.ucar.edu/cas/catalog/newbudgets/
;---http://tornado.sfsu.edu/geosciences/classes/e260/AtmosphericRivers/Moisture%20Flux.pdf
;---https://www.spc.noaa.gov/publications/banacos/mfc-sls.pdf
;===================================================================
;   Data Source: ESRL Physical Sciences Division
;        https://www.esrl.noaa.gov/psd/data/gridded/data.ncep.reanalysis.html
;   NCEP Reanalysis data provided by the NOAA/OAR/ESRL PSD, Boulder, Colorado, USA, 
;   from their Web site at https://www.esrl.noaa.gov/psd/
;===================================================================

  ptop = 300              ; 'shum' upper level                  
  ptop@units = "hPa"
  g    = 9.80665          ; m/s2

  date  = 20080715        ; NH summer

;---ESRL: CDC data

  diri = "./"
  filq = "shum.2008.nc"   ; daily data for current year [366 days]
  filu = "uwnd.2008.nc"
  filv = "vwnd.2008.nc"
  filps= "pres.sfc.2008.nc"

  pthu = diri+filu      
  pthv = diri+filv
  pthq = diri+filq     
  pthps= diri+filps   

  fu   = addfile(pthu ,"r")
  fv   = addfile(pthv ,"r")
  fq   = addfile(pthq ,"r")
  fps  = addfile(pthps,"r")

;---Time

  ymd  = cd_calendar(fu->time, -2)    ; ymd[*]: human readable
  nt   = ind(ymd.eq.date)             ; date for plotting and testing
 
TEST = True        
if (.not.TEST) then                   ; all times                   
  u    = fu->uwnd(:,{1000:ptop},:,:)  ; m/s, (time,level,lat,lon)
  v    = fv->vwnd(:,{1000:ptop},:,:)
  q    = fq->shum                     ; [kg/kg], 1000-300 levels only
  ps   = fps->pres                    ; Pa=>[kg/(m-s2)], (time,lat,lon)

else                                  ; one time step; keep time dimension [ nt:nt: ]                     
  u    = fu->uwnd(nt:nt,{1000:ptop},:,:); m/s, (time,level,lat,lon)
  v    = fv->vwnd(nt:nt,{1000:ptop},:,:)
  q    = fq->shum(nt:nt,:,:,:)        ; [kg/kg], 1000-300 levels only
  ps   = fps->pres(nt:nt,:,:)         ; Pa=>[kg/(m-s2)], (time,lat,lon)
  nt   = 0                            ; only one time step
end if

;---Vertical levels

  ptop = ptop*100
  ptop@units = "Pa"

  plev = q&level                      ; hPa  
  plev = plev*100                     ; [100000,...,30000] Pa [kg/(m-s2)]
  plev@units = "Pa"

;---Change [kg/kg] to [g/kg]; not necessary: but common units for q

  q    = q*1000            
  q@units = "g/kg"

;---Divergence function [used later] requires S->N grid order

  u    = u(:,:,::-1,:)  
  v    = v(:,:,::-1,:)
  q    = q(:,:,::-1,:)     
  ps   =ps(:,  ::-1,:)       

;---Layer thickness: ; Pa=>[kg/(m-s2)], (time,level,lat,lon) 
;---Mass weighting:  (dp/g) => [Pa/(m/s2)] => (Pa-s2)/m => [kg/(m-s2)][s2/m] =>  (kg/m2)
;---Reference: http://www.cgd.ucar.edu/cas/catalog/newbudgets/

  dp   = dpres_plevel_Wrap(plev, ps, ptop, 0) ; Pa; layar thickness 

  dpg  = dp/g    
  dpg@long_name = "Layer Mass Weighting"
  dpg@units     = "kg/m2"                     ; dp/g, Pa/(m s-2), reduce to kg m-2

;---Moisture flux components at each pressure level

  uq   = u*q                                  ; (:,:,:,:)
  uq@long_name = "Zonal Moisture Flux [uq]"
  uq@units = "["+u@units+"]["+q@units+"]"     ; [m/s][g/kg]     
  copy_VarCoords(u,uq)                        ; (time,level,lat,lon)

  vq   = v*q                                  ; (:,:,:,:)
  vq@long_name = "Meridional Moisture Flux [vq]"
  vq@units = "["+v@units+"]["+q@units+"]" 
  copy_VarCoords(v,vq)                        ; (time,level,lat,lon)

PRINT_RAW = True
if (PRINT_RAW) then
  printVarSummary(q)                          ; (time,level,lat,lon); g/kg
  printMinMax(q,0)
  print("-----")
  printVarSummary(u)                          ; (time,level,lat,lon); m/s
  printMinMax(u,0)
  print("-----")
  printVarSummary(v)
  printMinMax(v,0)
  print("-----")
  printVarSummary(ps)                         ; (time,lat,lon); Pa => kg/(m-s2) 
  printMinMax(ps,0)
  print("-----")
  printVarSummary(uq)                         ; (time,level,lat,lon); (m/s)(g/kg)
  printMinMax(uq,0)
  print("-----")
  printVarSummary(vq)
  printMinMax(vq,0)
  print("-----")
  printVarSummary(dp)                         ; (time,level,lat,lon); Pa => kg/(m-s2)
  printMinMax(dp,0)
  print("-----")
                                ; examine layer thickness at selected locations
  print(dp(nt,:,{40},{180}))    ; mid-Pacific
  print(dp(nt,:,{40},{255}))    ; Boulder, CO 
  print("-----")
end if

;---Integrated mass weighted moisture flux components

  uq_dpg = uq*dpg                ; mass weighted 'uq'; [m/s][g/kg][kg/m2]=>[m/s][g/kg]
  iuq    = dim_sum_n(uq_dpg, 1)
  iuq@long_name = "Integrated Zonal UQ [uq*dpg]" 
  iuq@LONG_NAME = "Sum: Mass Weighted Integrated Zonal Moisture Flux [uq*dpg]" 
  iuq@units     = "[m/s][g/kg]"
  copy_VarCoords(u(:,0,:,:), iuq); (time,lat,lon)
  delete(uq_dpg)

  vq_dpg = vq*dpg                ; mass weighted 'vq'; [m/s][g/kg][kg/m2]=>[m/s][g/kg] 
  ivq    = dim_sum_n(vq_dpg, 1)
  ivq@long_name = "Integrated Meridional VQ [vq*dpg]" 
  ivq@LONG_NAME = "Sum: Mass Weighted Integrated Meridional Moisture Flux [vq*dpg]" 
  ivq@units     = "[m/s][g/kg]"
  copy_VarCoords(v(:,0,:,:), ivq); (time,lat,lon)
  delete(vq_dpg)

;---Divergence of moisture flux: uv2dvF => global 'fixed' rectilinear grid

  duvq  = uv2dvF_Wrap(uq, vq)    ; (time,level,lat,lon)
  duvq@long_name = "Divergence of Moisture Flux"
  duvq@units     = "g/(kg-s)"    ; (1/m)*[(m/s)(g/kg)] => [g/(kg-s)]

;---Mass weighted integration [sum] of the divergence of moisture flux

  duvq_dpg = duvq*dpg            ;  [g/(kg-s)][kg/m2] => [g/(m2-s)]
  iduvq    = dim_sum_n(duvq_dpg, 1)
  iduvq@long_name = "Integrated Mass Wgt MFC" 
  iduvq@LONG_NAME = "Integrated Mass Weighted Moisture Flux Convergence" 
  iduvq@units     = "g/(m2-s)"
  copy_VarCoords(u(:,0,:,:), iduvq)      ; (time,lat,lon)
  delete(duvq_dpg)

  VIMFC =  iduvq           ; keep meta data                         
  VIMFC = -VIMFC           ; Note the preceding -1 [negative precedes integration] 
  VIMFC@long_name = "VIMFC"

;---Another way to compute Integrated divergence of moisture flux [iduvq_1]

;;IDUVQ = wgt_vertical_n(duvq, dp, 2, 1) 
;;iduvq_0 = IDUVQ[0]
;;iduvq_0 = iduvq_0/g                    ; complete mass weighting
;;iduvq_0@long_name = "Average Mass Weighted MFC" 
;;iduvq_0@LONG_NAME = "Average Mass Weighted Moisture Flux Convergence" 
;;iduvq_0@units     = "g/(m2-s)"

;;iduvq_1 = IDUVQ[1]                     ; same as iuvq_sum
;;iduvq_1 = iduvq_1/g
;;iduvq_1@long_name = "Integrated MFC" 
;;iduvq_1@LONG_NAME = "Integrated Moisture Flux Convergence" 
;;iduvq_1@units     = "g/(m2-s)"

PRINT_RESULT = True
if (PRINT_RESULT) then
    printVarSummary(iuq)                 ; (time,lat,lon)
    printMinMax(iuq,0)
    print("-----")
    printVarSummary(ivq)                 ; (time,lat,lon)
    printMinMax(ivq,0)
    print("-----")
    printVarSummary(duvq)                ; (time,lev,lat,lon)
    printMinMax(duvq,0)
    print("-----")
    printVarSummary(iduvq)               ; (time,lat,lon)
    printMinMax(iduvq,0)
    print("-----")
;;  printVarSummary(iduvq_0)             ; (time,lat,lon)
;;  printMinMax(iduvq_0,0)
;;  print("-----")
;;  printVarSummary(iduvq_1)             ; (time,lat,lon)
;;  printMinMax(iduvq_1,0)
;;  print("-----")
end if

;*************************************************
; Calculate divergence: Use Wrap to include meta data
; Calculate divergent wind components; used for graphics 
;*************************************************
  div = uv2dvF_Wrap(u,v)                ; u,v ==> divergence; (:,:,:,:)

  ud  = new ( dimsizes(u), typeof(u), "No_FillValue")
  vd  = new ( dimsizes(v), typeof(v), "No_FillValue")
  dv2uvf(div,ud,vd)                     ; divergence ==> divergent components  

  copy_VarCoords(u, ud ) 
  copy_VarCoords(u, vd ) 
  ud@long_name  = "Zonal Divergent Wind"
  ud@units      = u@units
  vd@long_name  = "Meridional Divergent Wind"
  vd@units      = v@units

if (PRINT_RESULT) then
    printVarSummary(ud)                 ; (time,level,lat,lon)
    printMinMax(ud,0)
    print("-----")
    printVarSummary(vd)                 ; (time,level,lat,lon)
    printMinMax(vd,0)
    print("-----")
end if

;*************************************************
; plot results
;*************************************************    

  scl5  = 1e5                                  ; arbitrary: used for nicer plot values
  sclab5= "(10~S~-5~N~)"                       ; used later   
  SCLAB5= "(10~S~5~N~)"           

  scl6  = 1e6  
  sclab6= "(10~S~-6~N~)"         
  SCLAB6= "(10~S~6~N~)"         

  plot := new(2,graphic)

  wks   = gsn_open_wks("png","mfc_div")        ; send graphics to PNG file
  resd                 = True
  resd@cnFillOn        = True                  ; color
  resd@cnLinesOn       = False                 ; turn off contour lines

  resd@cnLevelSelectionMode = "ManualLevels"   ; set manual contour levels
  resd@cnMinLevelValF  = -15.                  ; set min contour level
  resd@cnMaxLevelValF  =  15.                  ; set max contour level
  resd@cnLevelSpacingF =   1.                  ; set contour spacing
 ;resd@cnFillPalette   = "cmocean_balance"     ; NCL 6.5.0
  resd@cnFillPalette   = "ViBlGrWhYeOrRe"

  resd@mpFillOn        = False                 ; turn off map fill
  resd@vcRefMagnitudeF = 3.                    ; make vectors larger
  resd@vcRefLengthF    = 0.025                 ; reference vector length
  resd@vcGlyphStyle    = "CurlyVector"         ; turn on curly vectors
  resd@vcMinDistanceF  = 0.010                 ; thin the vectors
  resd@vcRefAnnoOrthogonalPosF = -1.0          ; move ref vector up
  resd@gsnLeftString   = "Divergent Wind"
  resd@gsnScalarContour= True                  ; vectors over contours
  
  LEVP = 700
  DIV  = div(nt,{LEVP},:,:)                     ; keep meta data
  DIV  = DIV*scl6                               ; nicer numbers                 

  resd@tiMainString    = "Divergence and Divergent Winds" 
  resd@gsnCenterString = LEVP+"hPa: "+date     
  resd@gsnRightString  = sclab6+" "+div@units
  dplt = gsn_csm_vector_scalar_map(wks,ud(nt,{LEVP},:,:),vd(nt,{LEVP},:,:),DIV,resd)

;--- Moisture Transport [uq, vq] at a specified pressure level

  res                   = True             ; plot mods desired
  res@gsnDraw           = False            ; don't draw yet
  res@gsnFrame          = False            ; don't advance frame yet

  res@cnFillOn          = True             ; turn on color
  res@cnLinesOn         = False            ; turn off contour lines
  res@cnLineLabelsOn    = False            ; turn off contour lines
  res@cnFillPalette     = "ViBlGrWhYeOrRe" ; set White-in-Middle color map
  res@lbLabelBarOn      = False            ; turn off individual cb's
  res@mpFillOn          = False            ; turn off map fill
                                           ; Use a common scale
  res@cnLevelSelectionMode = "ManualLevels"; manual set levels so lb consistent
  res@cnMaxLevelValF       =  140.0        ; max level
  res@cnMinLevelValF       = -res@cnMaxLevelValF     ; min level
  res@cnLevelSpacingF      =   10.0        ; contour interval

  LEVP    = 700
  res@gsnCenterString      = LEVP+"hPa"
  plot(0) = gsn_csm_contour_map(wks,uq(nt,{LEVP},:,:),res)
  plot(1) = gsn_csm_contour_map(wks,vq(nt,{LEVP},:,:),res)

  resP                     = True                ; modify the panel plot
  resP@gsnPanelMainString  = date+": Unweighted Moisture Flux Components"
  resP@gsnPanelLabelBar    = True                ; add common colorbar
  gsn_panel(wks,plot,(/2,1/),resP)               ; now draw as one plot

;--- Integrated Moisture Transport [iuq, ivq]

  delete(res@gsnCenterString)              ; not used for this plot
  res@cnMaxLevelValF       = 10.0          ; min level
  res@cnMinLevelValF       = -res@cnMaxLevelValF     ; min level
  res@cnLevelSpacingF      =  0.5          ; contour interval

  IUQ     = iuq(nt,:,:)                    ; local array: keep meta data
  IUQ     = IUQ/scl5                       ; scale for plot
  res@gsnRightString  = SCLAB5+" "+iuq@units
  plot(0) = gsn_csm_contour_map(wks,IUQ,res)

  IVQ     = ivq(nt,:,:)                    ; local array: keep meta data
  IVQ     = IVQ/scl5
  res@gsnRightString  = SCLAB5+" "+ivq@units
  plot(1) = gsn_csm_contour_map(wks,IVQ,res)

  resP@gsnPanelMainString  = date+": Mass Wgt. Component Moisture Flux"
  gsn_panel(wks,plot,(/2,1/),resP)               ; now draw as one plot

  delete( [/IUQ, IVQ/] )                   ; no longer needed

;---Divergence of Moisture Flux

  res@cnMaxLevelValF       = 100.0          ; min level
  res@cnMinLevelValF       = -res@cnMaxLevelValF     ; min level
  res@cnLevelSpacingF      =  5.0          ; contour interval

  LEVP    = 700
  DUVQ    = duvq(nt,{LEVP},:,:)                    ; keep meta data
  DUVQ    = DUVQ*scl6                              ; scale for plot
  res@gsnCenterString = LEVP+"hPa"
  res@gsnRightString  = sclab6+" "+duvq@units
  plot(0) = gsn_csm_contour_map(wks,DUVQ,res)

  LEVP    = 500
  DUVQ    = duvq(nt,{LEVP},:,:)                    ; keep meta data
  DUVQ    = DUVQ*scl6
  res@gsnCenterString = LEVP+"hPa"
  res@gsnRightString  = sclab6+" "+duvq@units
  plot(1) = gsn_csm_contour_map(wks,DUVQ,res)

  resP@gsnPanelMainString  = date+": Divergence of Moisture Flux"
  gsn_panel(wks,plot,(/2,1/),resP)                ; now draw as one plot

  delete(DUVQ)                                        ; no longer needed
  delete([/res@gsnCenterString, res@gsnRightString/]) ; not used in next plot 

;---Integrated Divergence of Moisture Flux Convergence [no scaling]

  res@gsnDraw              = True
  res@gsnFrame             = True
  res@lbLabelBarOn         = True        

 ;res@cnFillPalette        = "cmp_flux"
  res@cnMaxLevelValF       =  0.50                ; min level
  res@cnMinLevelValF       = -res@cnMaxLevelValF  ; min level
  res@cnLevelSpacingF      =  0.050               ; contour interval
  res@tiMainString         = date+": VIMFC"

  plt = gsn_csm_contour_map(wks,VIMFC(nt,:,:) ,res)

mfc_div_2.ncl

mfc_div_2.ncl: The above MFC equation can be partitioned as follows:

代码语言:javascript
复制
MFC => Moisture Flux Convergence

MFC_advect = -(u*(dq/dx)+v*(dq/dy))   ; advect moisture term
MFC_conv   =  -q*((du/dx)+(dv/dy) )   ; [con/div]ergence term
MFC        = MFC_advect + MFC_conv

The MFC_advect can be derived using advect_variable for global rectilinear grids or advect_variable_cfd for regional rectilinear grids The MFC_conv can be derived using: uv2dvF_Wrap or uv2dvG_Wrap for global rectilinear grids or uv2dv_cfd for regional rectilinear grids. Then, multiply the derived quantity by specific humidity [q].

代码语言:javascript
复制
;*************************************************
; mfc_div_2.ncl
;
; Similar to mfc_div_1.ncl except a different approach is used.
;
; Rather tha using DIV(U*Q) directly, this script expands this into two separate components.
;
; Concepts illustrated:
;   MFC = Moisture Flux Convergence
;
;   MFC_advect = -(u*(dq/dx)+v*(dq/dy) )    ; advection term
;   MFC_conv   = -q*((du/dx)+(dv/dy) )      ; con(div)-vergence
;
;   MFC = MFC_advect + MFC_convection         
;
;   - Plot a number of quantities
;*************************************************
;---Calculate the Horizontal Moisture Flux Convergence [MFC]
;*************************************************
;---High frequency source data: hourly/3hr/6hr/12hr/daily .... NOT monthly values
;---References:
;---http://www.cgd.ucar.edu/cas/catalog/newbudgets/
;---http://tornado.sfsu.edu/geosciences/classes/e260/AtmosphericRivers/Moisture%20Flux.pdf
;---https://www.spc.noaa.gov/publications/banacos/mfc-sls.pdf
;===================================================================
;   Data Source: ESRL Physical Sciences Division
;        https://www.esrl.noaa.gov/psd/data/gridded/data.ncep.reanalysis.html
;   NCEP Reanalysis data provided by the NOAA/OAR/ESRL PSD, Boulder, Colorado, USA, 
;   from their Web site at https://www.esrl.noaa.gov/psd/
;===================================================================

  ptop = 300              ; 'shum' upper level                  
  ptop@units = "hPa"
  g    = 9.80665          ; m/s2

  date  = 20080715        ; NH summer

;---ESRL: CDC data

  diri = "./"
  filq = "shum.2008.nc"   ; daily data for current year [366 days]
  filu = "uwnd.2008.nc"
  filv = "vwnd.2008.nc"
  filps= "pres.sfc.2008.nc"

  pthu = diri+filu      
  pthv = diri+filv
  pthq = diri+filq     
  pthps= diri+filps   

  fu   = addfile(pthu ,"r")
  fv   = addfile(pthv ,"r")
  fq   = addfile(pthq ,"r")
  fps  = addfile(pthps,"r")

;---Time

  ymd  = cd_calendar(fu->time, -2)    ; ymd[*]: human readable
  nt   = ind(ymd.eq.date)             ; date for plotting and testing
 
TEST = True        
if (.not.TEST) then                   ; all times                   
  u    = fu->uwnd(:,{1000:ptop},:,:)  ; m/s, (time,level,lat,lon)
  v    = fv->vwnd(:,{1000:ptop},:,:)
  q    = fq->shum                     ; [kg/kg], 1000-300 levels only
  ps   = fps->pres                    ; Pa=>[kg/(m-s2)], (time,lat,lon)

else                                  ; one time step; keep time dimension [ nt:nt: ]                     
  u    = fu->uwnd(nt:nt,{1000:ptop},:,:); m/s, (time,level,lat,lon)
  v    = fv->vwnd(nt:nt,{1000:ptop},:,:)
  q    = fq->shum(nt:nt,:,:,:)        ; [kg/kg], 1000-300 levels only
  ps   = fps->pres(nt:nt,:,:)         ; Pa=>[kg/(m-s2)], (time,lat,lon)
  nt   = 0                            ; only one time step
end if

;---Vertical levels

  ptop = ptop*100
  ptop@units = "Pa"

  plev = q&level                      ; hPa  
  plev = plev*100                     ; [100000,...,30000] Pa [kg/(m-s2)]
  plev@units = "Pa"

;---Change [kg/kg] to [g/kg]; not necessary: but common units for q

  q    = q*1000            
  q@units = "g/kg"

;---Divergence function [used later] requires S->N grid order

  u    = u(:,:,::-1,:)  
  v    = v(:,:,::-1,:)
  q    = q(:,:,::-1,:)     
  ps   =ps(:,  ::-1,:)       

;---Layer thickness: ; Pa=>[kg/(m-s2)], (time,level,lat,lon) 
;---Mass weighting:  (dp/g) => [Pa/(m/s2)] => (Pa-s2)/m => [kg/(m-s2)][s2/m] =>  (kg/m2)
;---Reference: http://www.cgd.ucar.edu/cas/catalog/newbudgets/

  dp   = dpres_plevel_Wrap(plev, ps, ptop, 0) ; Pa; layar thickness 

  dpg  = dp/g    
  dpg@long_name = "Layer Mass Weighting"
  dpg@units     = "kg/m2"      ; dp/g, Pa/(m s-2), reduce to kg m-2

;************************************************
; Calculate the MFC_advection term
;   MFC_advect = -(u*(dq/dx)+v*(dq/dy) ) 
; Internally, gradients are calculated via spherical harmonics
;*************************************************    


  long_name = "MFC_advection"
  units     = "g/(kg-s)"       ; (m/s)*(g/kg)*(1/m) => (m/s)*(g/kg-m) => g/(kg-s)

  gridType  = 1   ; global fixed grid ordered S->N
  opt_adv   = 0   ; return only the advected variable; no gradients
  mfc_adv   = advect_variable(u,v,q, gridType, long_name, units, opt_adv)
  mfc_adv   = -mfc_adv

  printVarSummary(mfc_adv)  
  printMinMax(mfc_adv, 0)  
  print("--------")

;************************************************
; Calculate the MFC_convergence term
;   MFC_conv   = -q*((du/dx)+(dv/dy) )      ; con(div)-vergence
;*************************************************    

  duv  = uv2dvF_Wrap(u, v)        ; (1/m)(m/s) => (1/s) ; (time,level,lat,lon)

  mfc_con   = -q*duv           
  mfc_con@long_name = "MFC_convergence"
  mfc_con@units     = "g/(kg-s)"  ; (g/kg)(1/s) => g/(kg-s)
  copy_VarCoords(duv,mfc_con)
  delete(duv)

;************************************************
; Calculate the total MFC
;*************************************************    

  mfc = mfc_adv + mfc_con
  mfc@long_name = "Moisture Flux Convergence"
  mfc@units     = "g/(kg-s)"  ; (g/kg)(1/s) => g/(kg-s)
  

PRINT_RAW = True
if (PRINT_RAW) then
  printVarSummary(mfc_adv)                          ; (time,level,lat,lon)
  printMinMax(mfc_adv,0)
  printVarSummary(mfc_con)                          
  printMinMax(mfc_con,0)
  print("-----")
  printVarSummary(mfc)                          
  printMinMax(mfc,0)
  print("-----")

  printVarSummary(ps)                         ; (time,lat,lon); Pa => kg/(m-s2) 
  printMinMax(ps,0)
  print("-----")
  printVarSummary(dp)                         ; (time,level,lat,lon); Pa => kg/(m-s2)
  printMinMax(dp,0)
  print("-----")
                                ; examine layer thickness at selected locations
  print(dp(nt,:,{40},{180}))    ; mid-Pacific
  print(dp(nt,:,{40},{255}))    ; Boulder, CO 
  print("-----")
end if

;---Integrated mass weighted moisture flux components

  mfc_adv_dpg = mfc_adv*dpg                ; mass weighted 'uq'; [m/s][g/kg][kg/m2]=>[m/s][g/kg]
  imfc_adv    =  dim_sum_n(mfc_adv_dpg, 1)
  imfc_adv@long_name = "Integrated Mass Flux Advection" 
  imfc_adv@LONG_NAME = "Sum: Mass Weighted Integrated Mass Flux Advection: mfc_adv*dpg" 
  imfc_adv@units     = "[m/s][g/kg]"
  copy_VarCoords(u(:,0,:,:), imfc_adv); (time,lat,lon)
  delete(mfc_adv_dpg)

  mfc_con_dpg = mfc_con*dpg                ; mass weighted 'mfc_con'; [m/s][g/kg][kg/m2]=>[m/s][g/kg] 
  imfc_con    = dim_sum_n(mfc_con_dpg, 1)
  imfc_con@long_name = "Integrated  Mass Flux Convergence"
  imfc_con@LONG_NAME = "Sum: Mass Weighted Integrated Mass Flux Convergence [mfc_con*dpg]" 
  imfc_con@units     = "[m/s][g/kg]"
  copy_VarCoords(v(:,0,:,:), imfc_con); (time,lat,lon)
  delete(mfc_con_dpg)

  VIMFC =  imfc_adv +  imfc_con    
  VIMFC@long_name = "VIMFC"
  VIMFC@LONG_NAME = "VIMFC: [imfc_adv+imfc_con]"
  copy_VarCoords(q(:,0,:,:),VIMFC)            ; (time,lat,lon)

PRINT_RESULT = True
if (PRINT_RESULT) then
    printVarSummary(imfc_adv)                 ; (time,lat,lon)
    printMinMax(imfc_adv,0)
    print("-----")
    printVarSummary(imfc_con)                 ; (time,lat,lon)
    printMinMax(imfc_con,0)
    print("-----")
    printVarSummary(VIMFC)               ; (time,lat,lon)
    printMinMax(VIMFC,0)
    print("-----")
end if

;*************************************************
; plot results
;*************************************************    

  scl5  = 1e5                                  ; arbitrary: used for nicer plot values
  sclab5= "(10~S~-5~N~)"                       ; used later   
  SCLAB5= "(10~S~5~N~)"           

  scl6  = 1e6  
  sclab6= "(10~S~-6~N~)"         
  SCLAB6= "(10~S~6~N~)"         

  plot := new(2,graphic)

  wks   = gsn_open_wks("png","mfc_div_2")        ; send graphics to PNG file
        
;--- mfc_adv and mfc_con at a specified pressure level

  res                   = True             ; plot mods desired
  res@gsnDraw           = False            ; don't draw yet
  res@gsnFrame          = False            ; don't advance frame yet

  res@cnFillOn          = True             ; turn on color
  res@cnLinesOn         = False            ; turn off contour lines
  res@cnLineLabelsOn    = False            ; turn off contour lines
  res@cnFillPalette     = "ViBlGrWhYeOrRe" ; set White-in-Middle color map
  res@mpFillOn          = False            ; turn off map fill
  res@lbLabelBarOn      = False            ; turn off individual cb's
                                           ; Use a common scale
  res@cnLevelSelectionMode = "ManualLevels"; manual set levels so lb consistent
  res@cnMaxLevelValF       =   12.0        ; max level
  res@cnMinLevelValF       = -res@cnMaxLevelValF     ; min level
  res@cnLevelSpacingF      =    0.5        ; contour interval

  LEVP    = 700
  res@gsnCenterString      = LEVP+"hPa"

  MFC_ADV = mfc_adv(nt,{LEVP},:,:)         ; keep meta data
  MFC_ADV = MFC_ADV*scl5
  res@gsnRightString  = sclab5+" "+mfc_adv@units
  plot(0) = gsn_csm_contour_map(wks,MFC_ADV,res)

  MFC_CON = mfc_con(nt,{LEVP},:,:)
  MFC_CON = MFC_CON*scl5
  res@gsnRightString  = sclab5+" "+mfc_con@units
  plot(1) = gsn_csm_contour_map(wks,MFC_CON,res)

  resP                     = True                ; modify the panel plot
  resP@gsnPanelMainString  = date+": Unweighted MFC_ADV, MFC_CON"
  resP@gsnPanelLabelBar    = True                ; add common colorbar
  gsn_panel(wks,plot,(/2,1/),resP)               ; now draw as one plot

;--- Integrated Moisture Transport [iuq, ivq]

  delete([/res@gsnRightString, res@gsnCenterString/]) ; not used for this plot
    
  res@cnMaxLevelValF       =  0.50                   ; min level
  res@cnMinLevelValF       = -res@cnMaxLevelValF     ; min level
  res@cnLevelSpacingF      =  0.05                   ; contour interval

  IMFC_ADV = imfc_adv(nt,:,:)                    ; local array: keep meta data
  plot(0)  = gsn_csm_contour_map(wks,IMFC_ADV,res)

  IMFC_CON = imfc_con(nt,:,:)                    ; local array: keep meta data
  plot(1) = gsn_csm_contour_map(wks,IMFC_CON,res)

  resP@gsnPanelMainString  = date+": Integrated Moisture Flux: Advect, Convergence"
  gsn_panel(wks,plot,(/2,1/),resP)               ; now draw as one plot

  delete( [/IMFC_ADV, IMFC_CON/] )                   ; no longer needed

  res@lbLabelBarOn      = True   
  res@gsnDraw = True
  res@gsnFrame= True

;---Integrated Divergence of Moisture Flux Convergence [no scaling]

 ;res@cnFillPalette        = "cmp_flux"
  res@cnLevelSelectionMode = "ManualLevels"; manual set levels so lb consistent
  res@cnMaxLevelValF       =  0.50                ; min level
  res@cnMinLevelValF       = -res@cnMaxLevelValF  ; min level
  res@cnLevelSpacingF      =  0.050               ; contour interval
  res@tiMainString         = date+": VIMFC: [IMFC_ADV+IMFC_CON]"

  plt = gsn_csm_contour_map(wks,VIMFC(nt,:,:) ,res)

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  • mfc_div_1.ncl
  • mfc_div_2.ncl
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