Ignore:
Timestamp:
Jul 8, 2020, 10:00:37 PM (4 years ago)
Author:
anphi <anne.philipp@…>
Branches:
master, ctbto, dev
Children:
e0005c9
Parents:
8a53342
Message:

Update Onlinedocumentation after review of language editing

File:
1 edited

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  • For_developers/Sphinx/Source/Documentation/disagg.rst

    r8a53342 r6931f61  
    1313
    1414.. csv-table:: Flux fields
    15     :header: "Short Name", "Name", "Units", "Interpolation Type"
     15    :header: "Short Name", "Name", "Units", "Disaggregation"
    1616    :align: center
    1717    :widths: 5,15,5,10
    1818   
    19     LSP,  "large-scale precipitation",          "m",          "modified linear interpolation"
    20     CP,   "convective precipitation",           "m",          "modified linear interpolation"
    21     SSHF, "surface sensible heat flux",         "J m:math:`^{-2}`",   "bicubic interpolation"
    22     EWSS, "eastward turbulent surface stress",  "N m:math:`^{-2}` s", "bicubic interpolation"
    23     NSSS, "northward turbulent surface stress", "N m:math:`^{-2}` s", "bicubic interpolation"
    24     SSR,  "surface net solar radiation",        "J m:math:`^{-2}`",   "bicubic interpolation"
     19    LSP,  "large-scale precipitation",          "m",          "precipitation "
     20    CP,   "convective precipitation",           "m",          "precipitation"
     21    SSHF, "surface sensible heat flux",         "J m :math:`^{-2}`",   "flux"
     22    EWSS, "eastward turbulent surface stress",  "N m :math:`^{-2}` s", "flux "
     23    NSSS, "northward turbulent surface stress", "N m :math:`^{-2}` s", "flux "
     24    SSR,  "surface net solar radiation",        "J m :math:`^{-2}`",   "flux "
    2525   
    2626
     
    4343
    4444In the old versions (below 7.1), a relatively simple method processes the precipitation fields in a way that is consistent with the linear interpolation between times where input fields are available that is applied in ``FLEXPART`` for all variables.
    45 This scheme (from Paul James) at first divides the accumulated values by the number of hours (i.e., 3 or 6). ???
     45This scheme (from Paul James) at first divides the accumulated values by the number of hours (i.e., 3 or 6).
    4646The best option for disaggregation, which was realised, is conservation within the interval under consideration plus the two adjacent ones.
    4747Unfortunately, this leads to undesired temporal smoothing of the precipitation time series – maxima are damped and minima are raised.
     
    161161     
    162162The accumulated values for the other variables are first divided by the number of hours and
    163 then interpolated to the exact times using a bicubic interpolation which conserves the integrals of the fluxes within each timespan.
    164 Disaggregation is done for four adjacent time intervals (:math:`p_a, p_b, p_c, p_d`) which produces a new, disaggregated value that is the output at the central point of the four adjacent time intervals.
     163then disaggregates to the exact times and conserves the integrals of the fluxes within each timespan.
     164Disaggregation is done for four adjacent time intervals (:math:`F_0, F_1, F_2, F_3`) which produces a new, disaggregated value that is the output at the central point of the four adjacent time intervals.
     165This new point :math:`F` is used for linear interpolation of the complete timeseries afterwards.
    165166
    166167.. math::
     168
    167169   
    168     p_a &= (a_3 - a_0 + 3. * (a_1 - a_2)) / 6. \\   
    169     p_b &= (a_2 + a_0) / 2. - a_1 - 9. * p_a / 2. \\
    170     p_c &= a_1 - a_0 - 7. * p_a / 2. - 2. * p_b \\   
    171     p_d &= a_0 - p_a / 4. - p_b / 3. - p_c / 2.
    172 
    173 This new point :math:`p` is used for linear interpolation of the complete timeseries afterwards.
    174 
    175 .. math::
    176    
    177     p = 8. * p_a + 4. * p_b + 2. * p_c + p_d
     170    F = -\frac{1}{12}F_0 + \frac{7}{12}F_1 + \frac{7}{12}F_2 -\frac{1}{12}F_3
    178171
    179172
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