A tidal simulation of Ariake Bay—A tideland model

A three-dimensional primitive -coordinate model is developed to allow for tideland. The model determines the coastline position each time step based on a minimum threshold depth, and extrapolates the three-dimensional predictive variables onto tideland only when the water depth exceeds that threshold value, assuring that the extrapolation is consistent with physics as well as with the numerical scheme involved. The model is applied to an M2 tide in the northern estuary of Ariake Bay characterized by the large tideland. The model successfully simulates flood and ebb tides during which a large area of tideland is covered and uncovered with water due to the large tidal difference in sea level. The model also reproduces a strong salinity front caused by the freshwater runoff from Chikugo river. The general patterns of model-computed tidal flows and density front are consistent with data available in this region. The mean flow field averaged over a twelve hour period shows a strong northward current along the slope accompanied by anticyclonic eddies over tideland, the latter feeding a southward transport along the eastern coast. It is shown that such a circulation pattern is enhanced by the joint effect of baroclinicity and bottom relief. Finally, some implications of model results are discussed in relation to the fishery.     

On the Quasi-Lame''s equation with application to lake seiches

An investigation is made on the damping of gravity oscillations in closed basins by using the singular perturbation method of Hukuda and Mysak. A perturbation solution, pivoting on a small bottom friction parameter ε, is derived for an arbitrary shaped basin with a sloping beach. It is shown that at 0(ε) the gravity oscillations are attenuated at a decay rate equal to the kinetic energy of 0(1) wave field. A simple law of decay rates is proposed for estimating the e-folding time of lake seiches, on the basis of calculations in both circular and elliptical basins with parabolic depth. The theoretical prediction is in good agreement with the long life cycle of a uninodal seiches observed in Lake Vättern, Sweden, as quoted in Defant.     

Application of a two-way nested model to the seamount problem

A two-way nested model has been constructed and applied to the idealized ocean where a uniform mean flow impinges on the isolated Gaussian-shaped seamount and produces two eddies (cold and warm) in the depths. The performance of the nested model has been evaluated subjectively and objectively. Both subjective and objective analyses confirm the traditional view that the nested model can well capture the performance of isolated eddies. Objective analysis, however, reveals some quantitatively important features of a two-way nested model. One is penetration of improved features into the coarse domain and another is the deterioration of mean flow field inside the nested area, neither of which is clear from subjective analysis. With successful application of two-way nested model to the seamount problem, we expect that such a nested model will also be applicable to other oceanic phenomena, particularly to some coastal problems whose time scale is short and where the topographic effects are dominant.