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== Grenschichthöhe ==
== Grenzschichthöhe ==
Grenzschichtdicke in Meter umrechnen mit barometrischer Höhenformel:
{{{#!latex
$\Delta z = \frac{R_L T}{g}ln\left(\frac{p}{p_s}\right)$}}}
R=287,1J/kgK; Annahme: T=const.; p=Druckniveau der Wolkenobergrenze, ps=Bodendruck aus Karte

Zusammenfassung Konvektionszellen

Code zur Kartendarstellung

   1 import Image
   2 from pylab import *
   3 from mpl_toolkits.basemap import Basemap
   4 import numpy as np
   5 
   6 def load_img(filename):
   7     im=Image.open(filename)
   8     return resize(fromstring(im.tostring(),uint8),(im.size[1],im.size[0],3))
   9 
  10 import scipy.ndimage as nd
  11 # define coordinates of profile
  12 lat_glatt=[77.0,78.0,79.0]
  13 lon_glatt_start,lon_glatt_stop=2.0,10.0
  14 
  15 
  16 
  17 filename='AERONET_Hornsund.2009072.aqua.250m.jpg'
  18 
  19 
  20 a=load_img(filename)
  21 
  22 a=nd.zoom(a[:,:,0],0.2)
  23 
  24 north=80.2363
  25 south=73.7612
  26 east=40.4156
  27 west=-9.3026
  28 
  29 filename='AERONET_Hornsund.2009072.aqua.250m.jgw'
  30 cds=array(open(filename).read().split('\n')[:-1]).astype(float)
  31 
  32 
  33 
  34 [yn,xn]=shape(a)
  35 
  36 # make grid
  37 x=linspace(west,east,xn)
  38 y=linspace(north,south,yn)
  39 
  40 [lons,lats] = meshgrid(x,y)
  41 
  42 start=find(x>lon_glatt_start)[0]
  43 stop=find(x>lon_glatt_stop)[0]
  44 
  45 line=[]
  46 for i in lat_glatt:
  47     line.append(find(y<i)[0])
  48 
  49 figure(2)
  50 
  51 m=Basemap(projection='merc',llcrnrlat=74,urcrnrlat=80,llcrnrlon=-9,urcrnrlon=20,resolution='h')
  52 
  53 xm,ym=m(lons,lats)
  54 
  55 xi=linspace(m.llcrnrx,m.urcrnrx,xn) # define the new grid
  56 yi=linspace(m.llcrnry,m.urcrnry,yn)
  57 modis_img_nmpg=griddata(xm.flatten(),ym.flatten(),a.flatten(),xi,yi)
  58 
  59 
  60 m.imshow(modis_img_nmpg,cm.bone, interpolation='bilinear',aspect='auto')
  61 m.drawcoastlines()
  62 m.fillcontinents(color='gray',lake_color='aqua')
  63 m.drawmapboundary(fill_color='aqua')
  64 
  65 m.drawmeridians(np.arange(0,360,5),labels=[1,0,0,1])
  66 m.drawparallels(np.arange(-90,90,2),labels=[0,1,0,1])
  67 
  68 cls=('ryg')
  69 for k,i in enumerate(line):
  70     x1,y1=m(x[start],y[i])
  71     x2,y2=m(x[stop],y[i])
  72     m.plot([x1,x2],[y1,y2],'-'+cls[k],linewidth=3)
  73 
  74 
  75 
  76 for j in range(182,191):
  77     x,y=m(j-180.,77)
  78     m.plot(x,y,'b.',markersize=12)
  79     x,y=m(j-180.,78)
  80     m.plot(x,y,'b.',markersize=12)
  81     x,y=m(j-180.,79)
  82     m.plot(x,y,'b.',markersize=12)    
  83 
  84 show()
  85 savefig('modis_test.png')

modis_test.png

Zusammenfassung Grenzschicht

Programmcode

   1 #!/bin/tcsh
   2 
   3 from pyhdf import SD
   4 from pylab import *
   5 from mpl_toolkits.basemap import Basemap
   6 
   7 fid=SD.SD('AIRS.2003.03.30.L3.RetStd001.v5.0.14.0.G07215021620.hdf')
   8 T=fid.select('Temperature_A')
   9 Temp=T.get()
  10 
  11 #Drucklevel
  12 Lv=[1000.0,925.0,850.0,700.0,600.0,500.0,400.0,300.0,250.0,200.0,150.0,100.0,
  13   70.0, 50.0,30.0, 20.0, 15.0, 10.0,  7.0,5.0, 3.0,2.0,1.5,1.0]
  14 
  15 # Temperaturprofile
  16 figure(1)
  17 plot(Temp[:,13,187],Lv)
  18 ylim((1000.0,1.0))
  19 xlim((200.0,280.0))
  20 xlabel('T in Kelvin')
  21 ylabel('p in hPa')
  22 title('used profiles lon=77')
  23 show()
  24 savefig('Soundings1.png',dpi=75)
  25 figure(2)
  26 plot(Temp[:,12,184],Lv)
  27 ylim((1000.0,1.0))
  28 xlim((200.0,280.))
  29 xlabel('T in Kelvin')
  30 ylabel('p in hPa')
  31 title('used profiles lon=78')
  32 show()
  33 savefig('Soundings2.png',dpi=75)
  34 figure(3)
  35 plot(Temp[:,11,187],Lv)
  36 ylim((1000.0,1.0))
  37 xlim((200.0,280.0))
  38 xlabel('T in Kelvin')
  39 ylabel('p in hPa')
  40 title('used profiles lon=79')
  41 show()
  42 savefig('Soundings3.png',dpi=75)

Profile

Soundings1.png Soundings2.png Soundings3.png

Grenzschichthöhe

Grenzschichtdicke in Meter umrechnen mit barometrischer Höhenformel:

latex error! exitcode was 2 (signal 0), transscript follows:

R=287,1J/kgK; Annahme: T=const.; p=Druckniveau der Wolkenobergrenze, ps=Bodendruck aus Karte

Vergleichen mit Theorie

latex error! exitcode was 2 (signal 0), transscript follows:

LehreWiki: OpenSource2010/Project/Project Idea2010/Ergebnisse (last edited 2011-01-17 09:45:59 by anonymous)