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| Titel |
A mass conservative and water storage consistent variable parameter Muskingum-Cunge approach |
| VerfasserIn |
E. Todini |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1027-5606
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| Digitales Dokument |
URL |
| Erschienen |
In: Hydrology and Earth System Sciences ; 11, no. 5 ; Nr. 11, no. 5 (2007-10-15), S.1645-1659 |
| Datensatznummer |
250009474
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| Publikation (Nr.) |
 copernicus.org/hess-11-1645-2007.pdf |
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| Zusammenfassung |
| The variable parameter Muskingum-Cunge (MC) flood routing approach, together
with several variants proposed in the literature, does not fully preserve
the mass balance, particularly when dealing with very mild slopes (<10−3). This paper revisits the derivation of the
MC and demonstrates (i) that the loss of mass balance in MC is caused by the
use of time variant parameters which violate the implicit assumption
embedded in the original derivation of the Muskingum scheme, which implies
constant parameters and at the same time (ii) that the parameters estimated
by means of the Cunge approach violate the two basic equations of the
Muskingum formulation. The paper also derives the modifications needed to
allow the MC to fully preserve the mass balance and, at the same time, to
comply with the original Muskingum formulation in terms of water storage.
The properties of the proposed algorithm have been assessed by varying the
cross section, the slope, the roughness, the space and the time integration
steps. The results of all the tests also show that the new algorithm is
always mass conservative. Finally, it is also shown that the proposed
approach closely approaches the full de Saint Venant equation solution, both
in terms of water levels and discharge, when the parabolic approximation
holds. |
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