Evaluation of the Advection Scheme in the HSPF Model
Publication: Journal of Hydrologic Engineering
Volume 15, Issue 3
Abstract
This paper studied the mass conservation and constancy-preserving conditions of the advection scheme in the Hydrological Simulation Program-Fortran (HSPF) model. Equations were derived to examine the conditions for achieving both mass conservation and constancy-preserving properties. Case studies of simulating conservative materials, water temperature, and dissolved oxygen were conducted to show the impacts of the advection scheme on model applications. The mass conservative condition of HSPF can only be achieved weakly even though the advection equation is written in a mass conserved format for the current advection scheme. The constancy-preserving condition is strongly violated due to the inconsistency with continuity. The advection scheme was modified by the writer to use one single weighting factor for solving both water routing and material advection. Unrealistic results are removed and mass conservation and constancy-preserving conditions are achieved with the modified advection scheme.
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Acknowledgments
I thank Dr. Jon Butcher, P.H. at Tetra Tech, Inc. for comments and suggestions on the original draft, and Dr. Sabu Paul at Tetra Tech, Inc. for providing comments and editing the manuscript.
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© 2010 ASCE.
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Received: Mar 4, 2009
Accepted: Aug 15, 2009
Published online: Aug 24, 2009
Published in print: Mar 2010
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