Rain model (Water Overlay)

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Revision as of 13:51, 25 April 2019 by Frank@tygron.nl (talk | contribs)
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Rain is modeled as an amount of precipitation that falls within a defined period of time. Think of it as, for example, 15 millimeter of rain that falls in 45 minutes. In the Tygron Platform water module this amount can be converted to an amount (mm) of precipitation per second. Moreover, the amount of rain per second that falls remains the same within the period it was defined for. At the end of the defined period of rain, it can be expected that the defined amount of rain should have fallen on each grid cell.

Rain is always added to the surface layer of a grid cell and each grid cell receives the same amount of rain per time step. However, the amount of rain per second can change. This is further explained in dynamic rainfall.

Dynamic rainfall

It is possible to add multiple consecutive periods of rainfall, each period with its own amount of rainfall. Doing so will have the amount of rain falling change (dynamically) over time. See the table below for an example:

Time key (minutes) Amount of rainfall (mm/m2)
35 15
42 19
120 5

This format can be interpreted as followed:

  • The first period is starts at t=0 minutes and ends at t=35 minutes. In this first period, 15 mm/m2 of rain will fall. Uniformly this gives 15 / ((35 - 0) * 60) = 0.00714 mm per second.
  • The second period starts at t=35 minutes and ends at t=42 minutes. In this period, 19 mm/m2 of rain will fall. Uniformly this is 19 / ((42 - 35) * 60) = 0.04524 mm rain per second.
  • The last period starts at t=42 minutes and ends at t=120 minutes. In this period, 5 mm/m2 of rain will fall. Uniformly this is 5 / ((120 - 42) * 60) = 0,00107 mm rain per second.

In total it can be expected that per m2 15 + 19 + 5 = 39 mm rain has fallen in a total simulation time of 120 minutes.

Notes

  • The rainfall table is stored as an attribute array in the Weather selected by the Water Overlay.
  • The time keys are defined in seconds.
  • Zero rain within a period is allowed, but negative is not. Negative values are ceiled up to zero.
  • The next time key should always be larger than the previous time key. Otherwise the rain calculation model will stop applying rain from the moment it reaches that time key.
  • The last time key also determines the total simulation time.

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