Mass Conservative Transport Scheme for the Application of the ELCIRC Model to Water Quality Computation
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 8
Abstract
An attempt was made to couple the water quality model of Danshuei River to the three-dimensional unstructured-grid hydrodynamic model [Eulerian–Lagrangian circulation model (ELCIRC)]. The Eulerian–Lagrangian scheme for the solution of the transport equations of salt in ELCIRC was demonstrated to be not mass conservative. The scheme was replaced with a finite-volume/finite-difference upwind scheme to ensure mass conservation both locally and globally. The same scheme was also used for the scalar transport equation in the water quality model. The representation of mass flux in the scalar transport equation is carefully formulated to be consistent with that of volume flux used in the continuity equations of ELCIRC. It was demonstrated that the newly revised scheme (1) conserved mass locally and globally; (2) conserved mass for both conservative and nonconservative substances subjected to biogeochemical transformation; and (3) preserved the integrity of the wetting-and-drying scheme. Further, the baroclinic simulation using the newly revised scheme showed a better result in terms of salt intrusion and salinity distribution in the Danshuei River estuary.
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Acknowledgments
The project under which this research is conducted is supported by Taiwan’s National Science Council through Grant No. NSCTNSC 94-2119-M-002-027. The version of the ELCIRC model used is 02g2 provided by the Oregon Health & Science University’s Center for Coastal and Land-Margin Research. Taiwan’s National Center for High-Performance Computing provides the computation facilities for the execution of the three-dimensional model. The early part of the research was carried out at the Virginia Institute of Marine Science, College of William and Mary, Gloucester Pt., Va. when the first writer was a visiting student. The hospitality of the VIMS personnel, particularly the assistance provided by Mr. Sisson, is greatly appreciated. The visit was financially supported by NSC under Grant No. UNSPECIFIEDNSC 93-2917-I-002-013.
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© 2008 ASCE.
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Received: Mar 10, 2007
Accepted: Sep 26, 2007
Published online: Aug 1, 2008
Published in print: Aug 2008
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