A shallow-water model for hydraulically transcritical flows
Rogerson, A. M.
MetadataShow full item record
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.
Suggested CitationRogerson, A. M. (1999). Shallow-water model for hydraulically transcritical flows. Woods Hole Oceanographic Institution. https://doi.org/10.1575/1912/85
Showing items related by title, author, creator and subject.
Measurement and modeling of three-dimensional sound intensity variations due to shallow-water internal waves Badiey, Mohsen; Katsnelson, Boris G.; Lynch, James F.; Pereselkov, Serguey; Siegmann, William L. (Acoustical Society of America, 2005-02)Broadband acoustic data (30–160 Hz) from the SWARM'95 experiment are analyzed to investigate acoustic signal variability in the presence of ocean internal waves. Temporal variations in the intensity of the received signals ...
Duda, Timothy F.; Preisig, James C. (IEEE, 1999-01)Propagation of 400-Hz sound through continental-shelf internal solitary wave packets is shown by numerical simulation to be strongly influenced by coupling of normal modes. Coupling in a packet is controlled by the mode ...
A coupled-mode shallow-water model for tidal analysis : internal tide reflection and refraction by the Gulf Stream Kelly, Samuel M.; Lermusiaux, Pierre F. J.; Duda, Timothy F.; Haley, Patrick J. (American Meteorological Society, 2016-12-14)A hydrostatic, coupled-mode, shallow-water model (CSW) is described and used to diagnose and simulate tidal dynamics in the greater Mid-Atlantic Bight region. The reduced-physics model incorporates realistic stratification ...