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  • Cubo: A Mathematical Journal
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The Forced Korteweg–de Vries Equation as a Model for Waves Generated by Topography

Author
Milewski, Paul A.

Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1553
Abstract
This is a brief survey article discussing simple yet very rich models for free surface flows over topographical features. We consider the most interesting case where the flow is near critical (the Froude number is near 1). We derive Kortewegde Vries and Burgers’ equations, and consider both steady configurations and time-dependent numerical solutions. The topography is taken to be either a localized bump or hole or a more extended plateau or depression. The calculations involving extended topography are new and in some cases show surprisingly complex dynamics.
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Discipline
Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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