Date of Award
Doctor of Philosophy
Geological and Atmospheric Sciences
A 2-D finite-element planetary boundary-layer model has been developed and successfully applied to the simulation of the sea-breeze phenomenon. The model solves the horizontal equations for conservation of momentum, the hydrostatic, the thermodynamic energy, and the continuity equations by the Galerkin finite-element method. Profiles of the vertical exchange coefficients for momentum and heat are obtained from the O'Brien exchange-coefficient profile, together with Deardorff's formula for computing the height of the planetary boundary layer. The Coriolis effect is built in but the gradient of any quantity except for the synoptic-scale pressure in the alongshore direction is assumed to vanish. The synoptic pressure gradient is represented by the geostrophic wind relation and is assumed to stay steady during the integration process. The surface temperature over water is fixed, while the perturbation temperature over land is given as a sinusoidal function in time to simulate the differential heating mechanism. Different roughness heights are assigned to land and water surfaces to characterize the horizontal surface inhomogeneities. A modified Crank-Nicholson time differentiating scheme is used to linearize the resulting algebraic system of equations in the iterative time integration process.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Chang, Lang-Ping, "A finite-element sea-breeze model " (1981). Retrospective Theses and Dissertations. 6873.