Graduate Thesis Or Dissertation
 

On Undular Bores and Solitary Waves in Variable Depth

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6q182s017

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  • Numerical results are presented using a higher-order pseudo-spectral method in order to solve the Zakharov-Craig-Sulem formulation of the Euler model. We study the effects of variable bathymetry on weakly-dispersive, weakly-nonlinear, shallow water waves. Improved predictions on wave amplitude and shoaling behavior are developed by analytical means in the context of the variable coefficient Korteweg-de Vries (vKdV) equation. The Euler model is also adapted to cylindrical coordinates in order to study axially symmetric flow over a variable bottom topology.
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