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| Titel |
Reverse flood routing with the inverted Muskingum storage routing scheme |
| VerfasserIn |
A. D. Koussis, K. Mazi, S. Lykoudis, A. A. Argiriou |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1561-8633
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| Digitales Dokument |
URL |
| Erschienen |
In: Natural Hazards and Earth System Science ; 12, no. 1 ; Nr. 12, no. 1 (2012-01-20), S.217-227 |
| Datensatznummer |
250010418
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| Publikation (Nr.) |
 copernicus.org/nhess-12-217-2012.pdf |
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| Zusammenfassung |
| This work treats reverse flood routing aiming at signal identification:
inflows are inferred from observed outflows by orienting the Muskingum scheme
against the wave propagation direction. Routing against the wave propagation
is an ill-posed, inverse problem (small errors amplify, leading to large
spurious responses); therefore, the reverse solution must be
smoothness-constrained towards stability and uniqueness (regularised).
Theoretical constrains on the coefficients of the reverse routing scheme
assist in error control, but optimal grids are derived by numerical
experimentation. Exact solutions of the convection-diffusion equation, for a
single and a composite wave, are reverse-routed and in both instances the
wave is backtracked well for a range of grid parameters. In the arduous test
of a square pulse, the result is comparable to those of more complex methods.
Seeding outflow data with random errors enhances instability; to cope with
the spurious oscillations, the reversed solution is conditioned by smoothing
via low-pass filtering or optimisation. Good-quality inflow hydrographs are
recovered with either smoothing treatment, yet the computationally demanding
optimisation is superior. Finally, the reverse Muskingum routing method is
compared to a reverse-solution method of the St. Venant equations of flood
wave motion and is found to perform equally well, at a fraction of the
computing effort. This study leads us to conclude that the efficiently
attained good inflow identification rests on the simplicity of the Muskingum
reverse routing scheme that endows it with numerical robustness. |
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