Mathematics
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984bgun.rept.....b&link_type=abstract
Final Scientific Report, 15 Oct. 1983 - 14 Oct. 1984 Ben Gurion Univ. of the Negev, Sede Boqer (Israel). Inst. for Desert Resear
Mathematics
Deserts, Dust, Earth Atmosphere, Flux (Rate), Planetary Boundary Layer, Advection, Altitude, Atmospheric Models, Atmospheric Temperature, Boundary Conditions, Height, Inversions, Mathematical Models, Soil Moisture, Temperature Inversions, Thermal Radiation, Time Dependence, Transition Layers, Wind (Meteorology)
Scientific paper
One of the aims of this investigation was to develop a limited area planetary boundary layer desert model for computers of limited power. We derived a general system of vertically integrated equations, including a dust concentration equation and an inversion height equation. The boundary layer was divided into a constant flux layer, a transition layer, and an inversion layer. The model equations predict the mean (vertically averaged) winds in the transition layer, the potential temperature at the top of the surface layer, the potential temperature at the ground, the height of the inversion layer, the dust concentration at the top of the surface layer, the moisture at the top of the surface layer, and the soil moisture at the ground. The radiation flux is also calculated as a function of time. Initially, the one-dimensional version was tested (no horizontal advection). All fields showed reasonable evolution for a 24 hour prediction. Data (dust concentration, inversion height) are now being gathered for verification. The two dimensional version was first run with a time step of two minutes and boundary conditions held fixed in time. Although the interior fields, starting from artificial initial data, developed reasonably, the calculations blew up after 4 hours, probably due to the restrictive boundary conditions. When the radiation boundary conditions were used, the model ran for 6 hours, did not blow up, but developed unrealistically near the boundaries.
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