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- W2071502401 abstract "The so called “energy method” of analyzing the properties of difference equations is systematically applied to certain conventional representations of the prototype advection, vorticity and shallow water equations of geophysical flows. Conditions governing the boundedness of the solutions to the difference equations are derived and these are used to obtain suitable consistent formulations for the boundary conditions on open (purely geometric) fixed surfaces immersed in the fluid. Experiments conducted with the derived boundary conditions indicate that they do not engender boundary instabilities. In particular, successful results were obtained with the shallow water equations for both quasinondivergent and almost irrotational initial flow conditions. The results suggest that the energy method constitutes a viable and useful approach to the “open” boundary problem posed in some geophysical fluid flow studies." @default.
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- W2071502401 date "1973-11-01" @default.
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- W2071502401 title "On the initial-boundary value problem of some geophysical fluid flows" @default.
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- W2071502401 doi "https://doi.org/10.1016/0021-9991(73)90044-2" @default.
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