Transformed flux-form semi-Lagrangian schemes for coastal ocean modeling

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Authors
Chu, Peter C.
Fan, C.W.
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Date of Issue
2009-01
Date
2009-01
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Abstract
Numerical approaches in atmospheric and oceanic modeling inevitably introduce diffusion (or dissipation) and dispersion into the approximate solution. From a physical point of view, advection of a passive tracer is the simple transition of a quantity. Therefore, dispersion, the propagation of different spatial scales at different phase speed, and diffusion are processes that are aliens to the process that is being modeled (Chu and Fan 1998, 1999). As applied to constituent advection problem, these numerical artifacts manifest themselves as nonphysical mixing by numerical diffusion, nonphysical highs and lows in the constituent field caused by dispersion, and nonphysical tracer spectra caused by the trapping of tracer in nonpropagating small spatial scales (Rood 1987). The less the numerical diffusion and dispersion errors, the better the model performance is.
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Conference Proceedings
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Eighth Conference on Coastal Atmospheric and Oceanic Prediction and Process, American Meteorological Society
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Department of Oceanography
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Chu, P.C., and C.-W. Fan, 2009: Transformed flux-form semi-Lagrangian schemes for coastal ocean modeling. Eighth Conference on Coastal Atmospheric and Oceanic Prediction and Process, American Meteorological Society
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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