1 | #!/usr/bin/env python |
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2 | # -*- coding: utf-8 -*- |
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3 | #******************************************************************************* |
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4 | # @Author: Anne Philipp (University of Vienna) |
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5 | # |
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6 | # @Date: March 2018 |
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7 | # |
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8 | # @Change History: |
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9 | # |
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10 | # November 2015 - Leopold Haimberger (University of Vienna): |
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11 | # - migration of the methods dapoly and darain from Fortran |
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12 | # (flex_extract_v6 and earlier) to Python |
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13 | # |
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14 | # April 2018 - Anne Philipp (University of Vienna): |
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15 | # - applied PEP8 style guide |
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16 | # - added structured documentation |
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17 | # - outsourced the disaggregation functions dapoly and darain |
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18 | # to a new module named disaggregation |
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19 | # |
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20 | # @License: |
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21 | # (C) Copyright 2015-2018. |
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22 | # |
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23 | # This software is licensed under the terms of the Apache Licence Version 2.0 |
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24 | # which can be obtained at http://www.apache.org/licenses/LICENSE-2.0. |
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25 | # |
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26 | # @Module Description: |
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27 | # disaggregation of deaccumulated flux data from an ECMWF model FG field. |
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28 | # Initially the flux data to be concerned are: |
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29 | # - large-scale precipitation |
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30 | # - convective precipitation |
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31 | # - surface sensible heat flux |
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32 | # - surface solar radiation |
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33 | # - u stress |
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34 | # - v stress |
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35 | # Different versions of disaggregation is provided for rainfall |
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36 | # data (darain, modified linear) and the surface fluxes and |
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37 | # stress data (dapoly, cubic polynomial). |
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38 | # |
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39 | # @Module Content: |
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40 | # - dapoly |
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41 | # - darain |
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42 | # |
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43 | #******************************************************************************* |
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44 | |
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45 | # ------------------------------------------------------------------------------ |
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46 | # MODULES |
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47 | # ------------------------------------------------------------------------------ |
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48 | |
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49 | # ------------------------------------------------------------------------------ |
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50 | # FUNCTIONS |
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51 | # ------------------------------------------------------------------------------ |
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52 | def dapoly(alist): |
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53 | ''' |
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54 | @Author: P. JAMES |
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55 | |
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56 | @Date: 2000-03-29 |
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57 | |
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58 | @ChangeHistory: |
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59 | June 2003 - A. BECK (2003-06-01) |
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60 | adaptaions |
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61 | November 2015 - Leopold Haimberger (University of Vienna) |
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62 | migration from Fortran to Python |
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63 | |
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64 | @Description: |
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65 | Interpolation of deaccumulated fluxes of an ECMWF model FG field |
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66 | using a cubic polynomial solution which conserves the integrals |
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67 | of the fluxes within each timespan. |
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68 | disaggregationregation is done for 4 accumluated timespans which generates |
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69 | a new, disaggregated value which is output at the central point |
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70 | of the 4 accumulation timespans. This new point is used for linear |
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71 | interpolation of the complete timeseries afterwards. |
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72 | |
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73 | @Input: |
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74 | alist: list of size 4, array(2D), type=float |
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75 | List of 4 timespans as 2-dimensional, horizontal fields. |
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76 | E.g. [[array_t1], [array_t2], [array_t3], [array_t4]] |
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77 | |
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78 | @Return: |
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79 | nfield: array(2D), type=float |
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80 | New field which replaces the field at the second position |
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81 | of the accumulation timespans. |
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82 | |
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83 | ''' |
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84 | pya = (alist[3] - alist[0] + 3. * (alist[1] - alist[2])) / 6. |
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85 | pyb = (alist[2] + alist[0]) / 2. - alist[1] - 9. * pya / 2. |
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86 | pyc = alist[1] - alist[0] - 7. * pya / 2. - 2. * pyb |
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87 | pyd = alist[0] - pya / 4. - pyb / 3. - pyc / 2. |
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88 | nfield = 8. * pya + 4. * pyb + 2. * pyc + pyd |
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89 | |
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90 | return nfield |
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91 | |
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92 | |
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93 | def darain(alist): |
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94 | ''' |
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95 | @Author: P. JAMES |
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96 | |
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97 | @Date: 2000-03-29 |
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98 | |
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99 | @ChangeHistory: |
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100 | June 2003 - A. BECK (2003-06-01) |
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101 | adaptaions |
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102 | November 2015 - Leopold Haimberger (University of Vienna) |
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103 | migration from Fortran to Python |
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104 | |
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105 | @Description: |
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106 | Interpolation of deaccumulated fluxes of an ECMWF model FG rainfall |
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107 | field using a modified linear solution which conserves the integrals |
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108 | of the fluxes within each timespan. |
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109 | disaggregationregation is done for 4 accumluated timespans which generates |
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110 | a new, disaggregated value which is output at the central point |
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111 | of the 4 accumulation timespans. This new point is used for linear |
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112 | interpolation of the complete timeseries afterwards. |
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113 | |
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114 | @Input: |
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115 | alist: list of size 4, array(2D), type=float |
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116 | List of 4 timespans as 2-dimensional, horizontal fields. |
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117 | E.g. [[array_t1], [array_t2], [array_t3], [array_t4]] |
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118 | |
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119 | @Return: |
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120 | nfield: array(2D), type=float |
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121 | New field which replaces the field at the second position |
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122 | of the accumulation timespans. |
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123 | ''' |
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124 | xa = alist[0] |
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125 | xb = alist[1] |
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126 | xc = alist[2] |
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127 | xd = alist[3] |
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128 | xa[xa < 0.] = 0. |
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129 | xb[xb < 0.] = 0. |
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130 | xc[xc < 0.] = 0. |
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131 | xd[xd < 0.] = 0. |
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132 | |
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133 | xac = 0.5 * xb |
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134 | mask = xa + xc > 0. |
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135 | xac[mask] = xb[mask] * xc[mask] / (xa[mask] + xc[mask]) |
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136 | xbd = 0.5 * xc |
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137 | mask = xb + xd > 0. |
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138 | xbd[mask] = xb[mask] * xc[mask] / (xb[mask] + xd[mask]) |
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139 | nfield = xac + xbd |
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140 | |
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141 | return nfield |
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