Coupled WRF/Unified Noah LSM

5 Implementation of UCM in WRF
5.1 General information about the Urban-Canopy model (UCM)
Flowchart of Urban model: subroutine urban
(1) Get atmospheric variables of the WRF and state variables of the urban canopy model
wind speed, air temperature, humidity, downward short wave radiation, downward long
wave radiation, air density, cosine of solar zenith angle, solar declination, height of the
first atmospheric level, roof surface temperature, wall surface temperature, road surface
temperature, roof layer temperature, wall layer temperature, road layer temperature,
Monin-Obkhov stability length above roof, wall, and road.
(2) Get urban parameters
(3) Convert unit
(4) Calculate wind profile within the urban canopy layer
(5) Calculate net short wave radiation on the roof, wall, and road
(6) Calculate Monnin-Obkhov stability length above the roof by the Newton-Rapson
method: Solving non-liner equation. First guess is the same as the stability length at the
previous step.
(7) Calculate CH, CD and moisture availability of the roof
(8) Calculate Rn, H, lE, and G from the roof surface
(9) Calculate roof surface temperature
(10) Iteration of (7) and (8) by the Newton-Rapson method: Solving non-liner equation
(11) New roof surface temperature
(12) New Rn, H, lE, and G using new roof surface temperature
(13) New roof layer temperature using new roof surface temperature: Solving 4-layers
heat equation model
(14) Calculate CH of the wall and road by the Jurges formula and moisture availability
(15) Calculate Rn, H, lE, and G from the wall and road surfaces
(16) Calculate wall and road surface temperature
(17) Iteration of (15) and (16) by the Newton-Rapson method: Solving non-linear
simultaneous two equations
(18) New wall and road surface temperatures
(19) New Rn, H, lE, and G using new wall and road surface temperature
(20) New wall and road layer temperatures using new wall and road surface
temperatures: Solving 4-layers heat equation model
(21) Calculate Monnin-Obkhov stability length above the urban canopy by the Newton-
Rapson method: Solving non-liner equation. First guess is the same as the stability length
at the previous step.
(22) Calculate CH, CD of the urban canopy
(23) Calculate Rn, H, lE, and G from the urban canopy
(24) Calculate new canopy air temperature and humidity using heat fluxes from canopy,
wall, and road
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