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- W2348522235 abstract "The horizontal velocity distribution of shallow water wave theory is independent on the vertical coordinate,it implies that the horizontal displacement is independent on too,which corresponds to the rigid transverse cross section assumption of the rod theory in structural mechanics.Using the material coordinate as in analytical mechanics,the horizontal displacement is selected as the fundamental function to solve,therefore the shallow water wave analysis becomes the large displacement non-linear problem in structural mechanics.Analytical mechanics and the corresponding variational principles can be applied now.The powerful methodology,such as canonical transformation and symplectic conservative approximate FEM discretization and so on,is quite beneficial to numerical solution.The water waves in the pool of three-gorge ship-lift are used as numerical examples,and the symplectic conservative time integration gives satisfactory result." @default.
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- W2348522235 date "2006-01-01" @default.
- W2348522235 modified "2023-09-23" @default.
- W2348522235 title "Solving shallow water waves with the displacement method" @default.
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