Two-dimensional finite-difference model for moving boundary hydrodynamic problems

Liu, Yuming (1988) Two-dimensional finite-difference model for moving boundary hydrodynamic problems. Gainesville, FL, Department of Coastal and Oceanographic Engineering, University of Florida, (UFL/COEL, 88/008)

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Abstract

To predict the hydrodynamics of lakes, estuaries and shallow seas, a two 'dimensional numerical model is developed using the method of fractional steps. The governing equations, i.e., the vertically integrated Navier-Stokes equations of fluid motion, are solved through three steps: advection, diffusion and propagation. The characteristics method is used to solve the advection, the alternating direction implicit method is applied to compute the diffusion, and the conjugate gradient iterative method is employed to calculate the propagation. Two ways to simulate the moving boundary problem are studied. The first method is based on the weir formulation. The second method is based on the assumption that a thin water layer exists over the entire dry region at all times. A number of analytical solutions are used to validate the model. The model is also applied to simulate the wind driven circulation in Lake Okeechobee, Florida. (135 page document)

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