Flood Routing by the Non-Linear Muskingum Model: Conservation of Mass and Momentum

• Autorzy: Gąsiorowski D.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the conservative properties of the Muskingum equation, commonly applied to solve river flood routing, are analysed. The aim of this analysis is to explain the causes of the mass balance error, which is observed in the numerical solutions of its non-linear form. The linear Muskingum model has been considered as a semi-discrete form of the kinematic wave equation and therefore it was possible to derive its two non-linear forms. Both forms were derived directly from the kinematic wave equation. It appeared that depending on the assumed conservative form of the Muskingum equation, this model satisfies either the global mass conservation law or the global momentum conservation law. Both laws are satisfied simultaneously by the linear equation only. The mass balance error can be eliminated from the numerical solution on condition that the non-linear Muskingum equation is written in the proper conservative form.

Słowa kluczowe

EN

flood routing; non-linear Muskingum equation; mass and momentum balance; conservative form

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2009
• Tom: Vol. 56, nr 3-4
• Strony: 121--137
• Opis fizyczny: Bibliogr. 17 poz., il.

Twórcy

autor

Gąsiorowski D.

• Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, ul. Narutowicza 11/12, 80-233 Gdańsk, Poland,

Bibliografia

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