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What is the distributed delayed Muskingum model?
- STRUPCZEWSKI, WITOLD G., NAPIÓRKOWSKI, JAROSLAW J.
- Hydrological sciences journal 1990 v.35 no.1 pp. 65-78
- equations, friction, hydrologic models, rivers
- A gap between hydrodynamic modelling and conceptual modelling of flood routing has been filled by the introduction of conceptual elements. The conceptual model gives results equivalent to those of the complete linearized Saint Venant equations for Froude number equal to one and approximately so in that vicinity. It has been applied to the case of a uniform open channel with arbitrary cross section and friction law. Pure lag has been introduced to the Muskingum model and then such models with physically based parameters have been coupled in series forming a multiply delayed Muskingum model. The asymptotic case when, for a finite river reach, the number of submodels tends to infinity, gives the distributed delayed Muskingum model. Further, this model is a particular solution of the complete linearized Saint Venant equations known as the rapid flow model. The model not only originates from conceptual elements but its impulse response has a clear conceptual interpretation.