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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/17734
Title: Comparison of variable parameter Muskingum-Cunge and variable parameter McCarthy-Muskingum routing methods
Authors: Perumal M.
Sahoo B.
Published in: Proceedings of World Environmental and Water Resources Congress 2012: Crossing Boundaries, Proceedings of the 2012 Congress
Abstract: A critical evaluation of two physically based variable parameter Muskingum methods, viz., the variable parameter Muskingum-Cunge (VPMC) method advocated by Ponce and Yevjevich (1978) and improved by Ponce and Chaganti (1994), and the variable parameter McCarthy-Muskingum routing (VPMM) method recently developed by Price and Perumal (2011) is made in this study. The evaluation is made by routing a given hypothetical inflow discharge hydrograph in uniform rectangular and trapezoidal channels using these two methods and comparing the routed hydrographs with the corresponding hydrographs estimated using the full Saint Venant equations, which form the benchmark model. The routed hydrographs arrived at by these two methods at the outlet of 40 km channel reaches were compared with the corresponding Saint Venant solutions using different performance criteria. The study reveals that the VPMM method consistently performs far better than the VPMC method, and is applicable for a wide range of flow and channel conditions. Moreover, the VPMM method is fully volume conservative, whereas there is significant volume error while using the VPMC method. Further, this study reveals that while routing a kinematic wave in smaller routing reaches, the theory of the matched diffusivity interpretation for the Muskingum method for estimating the values of weighting parameter, θ≈ 0.5, is not consistent with the matched diffusivity concept. Hence, this clearly calls for a rethinking on the theory behind the development of the VPMC method. © 2012 ASCE.
Citation: Proceedings of World Environmental and Water Resources Congress 2012: Crossing Boundaries, Proceedings of the 2012 Congress, (2012), 1270- 1279. Albuquerque, NM
URI: https://doi.org/10.1061/9780784412312.128
http://repository.iitr.ac.in/handle/123456789/17734
Issue Date: 2012
Keywords: Benchmark models
Channel conditions
Critical evaluation
Hydrographs
Inflow discharge
Kinematic waves
Muskingum method
Performance criterion
Physically based
Routing methods
Saint Venant equation
Saint-Venant
Trapezoidal channels
Variable parameters
Discharge (fluid mechanics)
Water resources
Parameter estimation
ISBN: 9780784412312
Author Scopus IDs: 6603838635
16069856000
Author Affiliations: Perumal, M., Department of Hydrology, Indian Institute of Technology Roorkee, Roorkee-247 667, India
Sahoo, B., ICAR Research Complex for NEH Region, Nagaland Centre, Jharnapani, Medziphema-797 106, Nagaland, India
Corresponding Author: Perumal, M.; Department of Hydrology, Indian Institute of Technology Roorkee, Roorkee-247 667, India; email: p_erumal@yahoo.com
Appears in Collections:Conference Publications [HY]

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