Ra. Bernatz et al., FINITE ANALYTIC SOLUTION OF A 2-DIMENSIONAL SEA-BREEZE ON A REGULAR GRID, Mathematical and computer modelling, 19(1), 1994, pp. 71-87
A turbulent, two-dimensional sea breeze model is solved by the finite
analytic method on a regular grid using the momentum weighted interpol
ation method. A k-epsilon turbulence model is used to simulate the tur
bulent aspects of the planetary boundary layer. The spatial structure
of the model circulation, including inflow depth and penetration, were
in close agreement with observational studies. The magnitude of the m
ean horizontal speed reached a maximum of 3.4 ms-1, somewhat less than
those reported in many observational studies. However, the magnitude
of the vertical velocity reached a maximum of 0.7 ms-1, similar to spe
eds observed in experimental studies. Model results for quantities of
turbulent kinetic energy, dissipation of turbulent kinetic energy, and
turbulent viscosity showed very close agreement with those measured i
n experimental studies. The maximum value of turbulent kinetic energy
was nearly 2 m2s-2, while the rate of dissipation of turbulent kinetic
energy reached a maximum value of 11.8 cm2s-3. The turbulent viscosit
y attained values of nearly 100 m2s-1.