A shallow-water model for hydraulically transcritical flows


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dc.contributor.author Rogerson, A. M.
dc.date.accessioned 2005-10-24T16:46:24Z
dc.date.available 2005-10-24T16:46:24Z
dc.date.issued 1999-07
dc.identifier.uri http://hdl.handle.net/1912/85
dc.description.abstract This document describes a numerical model that was developed to study two-dimensional, reduced-gravity, shallow-water flows. When the dynamics of these flows is strongly nonlinear, the flow may become hydraulically supercritical and discontinuities in the flow field may arise. The presence of discontinuities in the flow field requires a special numerical treatment in order to maintain both accuracy and stability in the numerically-approximated solution. In this model, a shock-capturing scheme called the Essentially Non-Oscillatory (ENO) scheme is implemented. The ENO scheme is a high-order, adaptive-stencil, finite-difference, characteristic-based scheme for hyperbolic equations that has been applied widely to flows governed by the Euler equations of gas dynamics. The model described in this document was developed for geophysical applications, and therefore includes the effects of rotation (constant Coriolis parameter), forcing (time dependent and/or spatially varying), and bottom drag (linear or nonlinear). The presentation includes the mathematical formulation of the model as well as instructions on how to prepare and execute model runs. en
dc.description.sponsorship Funding was provided by the Office of Naval Research under Grant Number N00014-93-1-1369. en
dc.format.extent 1656781 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US en
dc.publisher Woods Hole Oceanographic Institution en
dc.relation.ispartofseries WHOI Technical Reports en
dc.relation.ispartofseries WHOI-99-09 en
dc.subject Shallow water en
dc.subject Numerical model en
dc.subject Shock-capturing en
dc.subject Water waves en
dc.subject Ocean curents en
dc.title A shallow-water model for hydraulically transcritical flows en
dc.type Technical Report en
dc.identifier.doi 10.1575/1912/85

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