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Abstract
In the paper the conservative properties of the lumped hydrological models with variable parameters are discussed. It is shown that in the case of the non-linear Muskingum equation the mass balance is not satisfied. The study indicates that the mass balance errors are caused by the improper form of equation and by the numerical diffusion which is generated in the solution. It has been shown that the classical way of derivation of the non-linear Muskingum equation leads to non-conservative form which does not guarantee the correct solution. The balance errors can occur not only in the case of non-conservation form but can occur even for an equation written in the conservative form. Using the modified equation approach it was possible to show why the numerical solutions of equations in the conservative form can suffer from the balance errors.
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- Category:
- Conference activity
- Type:
- publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
- Title of issue:
- Eleventh International Symposium on Water Management and Hydraulic Engineering : WHE2009 : proceedings, Ohrid, Macedonia, 1-5 September 2009. - Vol. I. strony 61 - 70
- Language:
- English
- Publication year:
- 2009
- Bibliographic description:
- Gąsiorowski D.: Balance error generated by numerical diffusion in the solution of Muskingum equation// Eleventh International Symposium on Water Management and Hydraulic Engineering : WHE2009 : proceedings, Ohrid, Macedonia, 1-5 September 2009. - Vol. I./ ed. eds. C. Popovska, M. Javanovski. - University of Skopje. Skopje: University of Skopje, 2009, s.61-70
- Verified by:
- Gdańsk University of Technology
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