Gaussian latitudes, weights, and points

Gaussian latitudes, weights, and points for ERA-40 grids and other potential Gaussian grid transformations. Northern hemisphere only, north to south, pole to equator.


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 Gaussian Latitudes nlat=32 (nlon=64, T21, N16):
 -----------------------------------------------
      data lats /
     +   85.7606,  80.2688,  74.7445,  69.2130,  63.6786,  58.1430,
     +   52.6065,  47.0696,  41.5325,  35.9951,  30.4576,  24.9199,
     +   19.3822,  13.8445,   8.3067,   2.7689 /

     Corresponding Gaussian Weights:

      data wgts /
     +  0.007020, 0.016275, 0.025392, 0.034274, 0.042836, 0.050998,
     +  0.058684, 0.065822, 0.072346, 0.078194, 0.083312, 0.087652,
     +  0.091173, 0.093845, 0.095639, 0.096540 /

 Gaussian Latitudes nlat=48 (nlon=96, T31, N24):
 -----------------------------------------------

      data lats /
     +   87.1591,  83.4789,  79.7770,  76.0702,  72.3616,  68.6520,
     +   64.9419,  61.2316,  57.5210,  53.8103,  50.0995,  46.3886,
     +   42.6776,  38.9666,  35.2556,  31.5445,  27.8334,  24.1223,
     +   20.4112,  16.7001,  12.9890,   9.2778,   5.5667,   1.8556 /

      Corresponding Gaussian Weights:

      data wgts /
     +  0.003153, 0.007329, 0.011477, 0.015579, 0.019617, 0.023570,
     +  0.027426, 0.031167, 0.034777, 0.038241, 0.041545, 0.044675,
     +  0.047617, 0.050359, 0.052890, 0.055199, 0.057277, 0.059115,
     +  0.060704, 0.062039, 0.063114, 0.063924, 0.064466, 0.064738 /

 Gaussian Latitudes nlat=64 (nlon=128, T42, N32):
 ------------------------------------------------

      data lats /
     +   87.8638,  85.0965,  82.3129,  79.5256,  76.7369,  73.9475,
     +   71.1577,  68.3678,  65.5776,  62.7873,  59.9970,  57.2066,
     +   54.4162,  51.6257,  48.8352,  46.0447,  43.2542,  40.4636,
     +   37.6731,  34.8825,  32.0919,  29.3014,  26.5108,  23.7202,
     +   20.9296,  18.1390,  15.3484,  12.5578,   9.7671,   6.9765,
     +    4.1859,   1.3953 /

      Corresponding Gaussian Weights:

      data wgts /
     +  0.001779, 0.004149, 0.006506, 0.008846, 0.011169, 0.013463,
     +  0.015726, 0.017952, 0.020135, 0.022270, 0.024353, 0.026378,
     +  0.028340, 0.030235, 0.032058, 0.033805, 0.035472, 0.037055,
     +  0.038550, 0.039953, 0.041263, 0.042473, 0.043584, 0.044591,
     +  0.045491, 0.046285, 0.046968, 0.047540, 0.047999, 0.048345,
     +  0.048576, 0.048691 /

 Gaussian Latitudes nlat=94 (nlon=192, T62, N47):
 ------------------------------------------------

      data lats /
     +   88.5420,  86.6531,  84.7532,  82.8508,  80.9473,  79.0435,
     +   77.1394,  75.2351,  73.3307,  71.4262,  69.5217,  67.6171,
     +   65.7125,  63.8079,  61.9033,  59.9986,  58.0939,  56.1893,
     +   54.2846,  52.3799,  50.4752,  48.5705,  46.6658,  44.7611,
     +   42.8564,  40.9517,  39.0470,  37.1423,  35.2375,  33.3328,
     +   31.4281,  29.5234,  27.6186,  25.7139,  23.8092,  21.9044,
     +   19.9997,  18.0950,  16.1902,  14.2855,  12.3808,  10.4760,
     +    8.5713,   6.6666,   4.7618,   2.8571,   0.9524 /

      Corresponding Gaussian Weights:

      data wgts /
     +  0.000830, 0.001935, 0.003035, 0.004135, 0.005229, 0.006316,
     +  0.007397, 0.008470, 0.009535, 0.010588, 0.011629, 0.012658,
     +  0.013673, 0.014672, 0.015656, 0.016622, 0.017570, 0.018498,
     +  0.019406, 0.020292, 0.021156, 0.021997, 0.022813, 0.023605,
     +  0.024369, 0.025108, 0.025818, 0.026500, 0.027152, 0.027775,
     +  0.028367, 0.028927, 0.029456, 0.029952, 0.030414, 0.030844,
     +  0.031239, 0.031599, 0.031925, 0.032216, 0.032471, 0.032690,
     +  0.032873, 0.033019, 0.033129, 0.033203, 0.033239 /

 Gaussian Latitudes nlat=96 (nlon=192, T63, N48):
 ------------------------------------------------

      data lats /
     +   88.5722,  86.7225,  84.8620,  82.9989,  81.1350,  79.2705,
     +   77.4059,  75.5411,  73.6761,  71.8111,  69.9461,  68.0810,
     +   66.2159,  64.3507,  62.4856,  60.6204,  58.7552,  56.8900,
     +   55.0248,  53.1596,  51.2944,  49.4292,  47.5639,  45.6987,
     +   43.8335,  41.9682,  40.1030,  38.2377,  36.3725,  34.5072,
     +   32.6420,  30.7767,  28.9115,  27.0462,  25.1810,  23.3157,
     +   21.4505,  19.5852,  17.7200,  15.8547,  13.9895,  12.1242,
     +   10.2589,   8.3937,   6.5284,   4.6632,   2.7979,   0.9326 /

      Corresponding Gaussian Weights:

      data wgts /
     +  0.000793, 0.001853, 0.002909, 0.003966, 0.005015, 0.006059,
     +  0.007097, 0.008127, 0.009148, 0.010161, 0.011162, 0.012152,
     +  0.013128, 0.014091, 0.015039, 0.015971, 0.016886, 0.017783,
     +  0.018661, 0.019519, 0.020357, 0.021173, 0.021967, 0.022737,
     +  0.023483, 0.024205, 0.024901, 0.025570, 0.026212, 0.026827,
     +  0.027413, 0.027971, 0.028498, 0.028995, 0.029461, 0.029897,
     +  0.030300, 0.030671, 0.031010, 0.031316, 0.031589, 0.031829,
     +  0.032035, 0.032207, 0.032344, 0.032447, 0.032517, 0.032551 /

 Gaussian Latitudes nlat=160 (nlon=320, T106 or T159, N80):
 ----------------------------------------------------------

      data lats /
     +   89.1416,  88.0294,  86.9108,  85.7906,  84.6699,  83.5489,
     +   82.4278,  81.3066,  80.1853,  79.0640,  77.9426,  76.8212,
     +   75.6998,  74.5784,  73.4570,  72.3356,  71.2141,  70.0927,
     +   68.9712,  67.8498,  66.7283,  65.6069,  64.4854,  63.3639,
     +   62.2425,  61.1210,  59.9995,  58.8780,  57.7566,  56.6351,
     +   55.5136,  54.3921,  53.2707,  52.1492,  51.0277,  49.9062,
     +   48.7847,  47.6632,  46.5418,  45.4203,  44.2988,  43.1773,
     +   42.0558,  40.9343,  39.8129,  38.6914,  37.5699,  36.4484,
     +   35.3269,  34.2054,  33.0839,  31.9624,  30.8410,  29.7195,
     +   28.5980,  27.4765,  26.3550,  25.2335,  24.1120,  22.9905,
     +   21.8690,  20.7476,  19.6261,  18.5046,  17.3831,  16.2616,
     +   15.1401,  14.0186,  12.8971,  11.7756,  10.6542,   9.5327,
     +    8.4112,   7.2897,   6.1682,   5.0467,   3.9252,   2.8037,
     +    1.6822,   0.5607 /

      Corresponding Gaussian Weights:

      data wgts /
     +  0.000283, 0.000674, 0.001051, 0.001437, 0.001815, 0.002198,
     +  0.002577, 0.002959, 0.003337, 0.003713, 0.004089, 0.004462,
     +  0.004834, 0.005204, 0.005573, 0.005939, 0.006303, 0.006665,
     +  0.007023, 0.007380, 0.007733, 0.008083, 0.008431, 0.008775,
     +  0.009116, 0.009453, 0.009787, 0.010117, 0.010443, 0.010765,
     +  0.011083, 0.011397, 0.011705, 0.012010, 0.012311, 0.012606,
     +  0.012897, 0.013183, 0.013463, 0.013739, 0.014009, 0.014274,
     +  0.014534, 0.014787, 0.015035, 0.015278, 0.015514, 0.015745,
     +  0.015970, 0.016188, 0.016399, 0.016606, 0.016805, 0.016999,
     +  0.017185, 0.017366, 0.017540, 0.017706, 0.017866, 0.018020,
     +  0.018165, 0.018305, 0.018436, 0.018561, 0.018680, 0.018791,
     +  0.018894, 0.018991, 0.019080, 0.019162, 0.019236, 0.019304,
     +  0.019363, 0.019416, 0.019461, 0.019498, 0.019528, 0.019550,
     +  0.019565, 0.019573 /

      Corresponding Gaussian Points for Reduced N80

      data pnts /
     +   18,  25,  36,  40,  45,  54,  60,  64,  72,  72,
     +   80,  90,  96, 100, 108, 120, 120, 128, 135, 144,
     +  144, 150, 160, 160, 180, 180, 180, 192, 192, 200,
     +  200, 216, 216, 216, 225, 225, 240, 240, 240, 256,
     +  256, 256, 256, 288, 288, 288, 288, 288, 288, 288,
     +  288, 288, 300, 300, 300, 300, 320, 320, 320, 320,
     +  320, 320, 320, 320, 320, 320, 320, 320, 320, 320,
     +  320, 320, 320, 320, 320, 320, 320, 320, 320, 320 /

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