Hydrodynamic derivation of storage parameters of the Muskingum model

Dooge, J. C. I.; Strupczewski, Witold G.; Napiórkowski, Jarosław

doi:10.1016/0022-1694(82)90163-9

Cited by 84 publications

(45 citation statements)

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“…The upper limit of 6 = 0.5 has also been arrived at by various investigators (Cunge, 1969;Dooge, 1973;Dooge et al, 1982;Strupczewski & Kundzewicz, 1980) using their approaches for interpreting the Muskingum method. Inserting equation (9) and equation (8) in equation (6) yields:…”

Section: Extension To the Muskingum Methodsmentioning

confidence: 87%

“…The problem of negative or reduced initial outflow exists whether one is dealing with the solution of the conventional Muskingum method as proposed by McCarthy (1939) or with those solutions of the physically based approaches to the Muskingum method proposed by Dooge & Harley (1967), Cunge (1969) and Dooge et al (1982). Many remedial measures based on numerical considerations have been suggested to eliminate this defect (US Army Corps of Engineers, 1960;Weinmann & Laurenson, 1979;Ponce & Theurer, 1982;Chang et al, 1983).…”

Section: Open For Discussion Until 1 February 1993mentioning

confidence: 99%

“…This thinking resulted in the development of various methods for the physical interpretation of the Muskingum method. They have been well documented in the literature, and Kundzewicz (1986) grouped them under the following classes of methods: (a) direct interpretation (Strupczewski & Kundzewicz, 1980); (b) matching the impulse response of the Muskingum method with that of the linearized St Venant equation using the method of moments approach (Dooge, 1973); and (c) matching difference schemes (Cunge, 1969;Dooge et al, 1982).…”

Section: Physically Based Muskingum Methodsmentioning

confidence: 99%

“…The developments by Dooge & Harley (1967), Cunge (1969) and Dooge et al (1982) in linking the parameters of the Muskingum method with channel and flow characteristics through the hydrodynamics of channel flow have enhanced the practical utility of the method.…”

Section: Introductionmentioning

confidence: 99%

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The cause of negative initial outflow with the Muskingum method

Perumal

1992

Hydrological Sciences Journal

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The cause of negative or reduced outflow formation at the beginning of a Muskingum solution is examined in two steps. The first step involves a physical interpretation of the Muskingum weighted discharge and the storage equation, using theory based on an extension of the Kalinin-Milyukov method. The second step involves the derivation of an analytical solution for the weighted discharge based on linear systems analysis theory, and then subsequently the Muskingum solution from that analytical solution using the assumption of linear variation of discharge within the reach. It is proved that this assumption causes the formation of negative or reduced outflow at the beginning of a Muskingum solution.

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Section: Extension To the Muskingum Methodsmentioning

confidence: 87%

Section: Open For Discussion Until 1 February 1993mentioning

confidence: 99%

Section: Physically Based Muskingum Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The cause of negative initial outflow with the Muskingum method

Perumal

1992

Hydrological Sciences Journal

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“…Dooge et al (1982) suggested a more versatile scheme of physically interpreting the Muskingum parameters. The dynamic wave model was linearized around a reference trajectory and the following lumping formula for variations in flow area was accepted: " ÔA -ÔA JL (6A) = __A_^ i (27) dx L…”

Section: Matching Difference Schemesmentioning

confidence: 99%

Physically based hydrological flood routing methods

Kundzewicz

1986

Hydrological Sciences Journal

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Alternative ways of developing relationships between the parameters of conceptual hydrological flood routing models and the physics (understood as the hydrodynamic model or as the real system) have been examined. Three deterministic and two stochastic methods of synthesis of conceptual parameters were studied. The results offer aid in identification of conceptual parameters when modelling systems for which no historical time series of inflow-outflow data are available (e.g. ungauged rivers or river engineering design), Méthodes hydrologiques d'études de propagation des crues d'après des bases physiquesRESUME On a étudié plusieurs moyens d'établir des relations entre les paramètres des modèles hydrologiques conceptuels de propagations des crues et les caractéristiques physiques (compris comme modèle hydrodynamique ou comme système réel). On a analysé trois méthodes déterministes et deux méthodes stochastiques de synthèse des paramètres conceptuels. Les résultats apportent une aide appréciable dans l'identification des paramètres conceptuels lorsque l'on met en modèles des systèmes pour lesquels on ne dispose pas de séries temporelles historiques ni de données sur les apports et les fournitures (rivières non observées ou projet d'aménagement fluvial).

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Analytical Hayami Solution for the Diffusive Wave Flood Routing Problem With Lateral Inflow

Moussa

1996

Hydrol. Process.

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The diffusive wave equation is generally used in flood routing in rivers. The two parameters of the equation, celerity and diffusivity, are usually taken as functions of the discharge. If these two parameters can be assumed to be constant without lateral inflow, the diffusive wave equation may have an analytical solution: the Hayami model. A general analytical method, based on Hayami's hypothesis, is developed here which resolves the diffusive wave flood routing equation with lateral inflow or outflow uniformly distributed over a channel reach. Flood routing parameters are then identified using observed inflow and outflow and the Hayami model used to simulate outflow. Two examples are discussed. Firstly, the prediction of the hydrograph at a downstream section on the basis of a knowledge of the hydrograph at an upstream section and the lateral inflow. The second example concerns lateral inflow identification between an upstream and a downstream section on the basis of a knowledge of hydrographs at the upstream and downstream sections. The new general Hayami model was applied to flood routing simulation and for lateral inflow identification of the River Allier in France. The major advantages of the method relate to computer simulation, real-time forecasting and control applications in examples where numerical instabilities, in the solution of the partial differential equations must be avoided.

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Hydrodynamic derivation of storage parameters of the Muskingum model

Cited by 84 publications

References 1 publication

The cause of negative initial outflow with the Muskingum method

The cause of negative initial outflow with the Muskingum method

Physically based hydrological flood routing methods

Analytical Hayami Solution for the Diffusive Wave Flood Routing Problem With Lateral Inflow

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