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Improved implicit numerical scheme for one-dimensional open channel flow equations (CROSBI ID 523273)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Kranjčević, Lado ; Crnković, Bojan ; Črnjaric-Žic Nelida Improved implicit numerical scheme for one-dimensional open channel flow equations // Proceedings of the 5th International Congress of Croatian Society of Mechanics / Matajiček, Franjo (ur.). Zagreb: Hrvatsko društvo za mehaniku (HDM), 2006

Podaci o odgovornosti

Kranjčević, Lado ; Crnković, Bojan ; Črnjaric-Žic Nelida

engleski

Improved implicit numerical scheme for one-dimensional open channel flow equations

Implicit numerical approach proved to be very suitable for solving open channel flow equations especially on large scale domains because of its ability to employ larger time steps and therefore considerably reduce overall computing time. Numerical modelling of open channel flow equations simulating real problems involving irregular channels with variable width introduces the flux space dependency problem that has not been resolved so far in implicit numerical approach. Original finite difference Linearized Conservative Scheme is presented and modifications of flux and source terms are introduced. Numerical flux formulation needed modification in order to account for the spatially variable flux dependency, and consequently the source term is appropriately decomposed. Previous papers analyzed numerically balanced approximations of flux and source terms exclusively in explicit numerical schemes solving open channel flow equations. This paper introduces modifications of numerical approximations of flux and source term thus enabling the use of implicit numerical schemes in open channel flow problems simulations involving channels with nonprismatic geometry. Achieved improvements are presented through several test problems.

open channel flow; implicit numerical scheme; balance laws; source term decomposi-tion; channel with irregular geometry

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Podaci o prilogu

2006.

objavljeno

Podaci o matičnoj publikaciji

Proceedings of the 5th International Congress of Croatian Society of Mechanics

Matajiček, Franjo

Zagreb: Hrvatsko društvo za mehaniku (HDM)

Podaci o skupu

5th INTERNATIONAL CONGRESS OF CROATIAN SOCIETY OF MECHANICS

predavanje

21.09.2006-23.09.2006

Trogir, Hrvatska

Povezanost rada

Temeljne tehničke znanosti