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A depth-integrated 2D coastal and estuarine model with conformal boundary-fitted mesh generation. (English) Zbl 0889.76049

We present the development and application of a two-dimensional depth-integrated, conformal boundary-fitted, curvilinear model for predicting the depth-mean velocity field and the spatial concentration distribution in estuarine and coastal waters. A numerical method for conformal mesh generation, based on a boundary integral equation formulation, has been developed. By this method, a general polygonal region with curved edges can be mapped onto a regular polygonal region with the same number of horizontal and vertical straight edges, and a multiple connected region can be mapped onto a regular region with the same connectivity. The hydrodynamic equations are approximated using the ADI finite difference scheme with a staggered grid, and the solute transport equation is approximated using a modified QUICK scheme. Three numerical examples test the curvilinear model, with an emphasis placed on complex practical applications.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
86A05 Hydrology, hydrography, oceanography
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