Pregled bibliografske jedinice broj: 142830
On numerical treatment of shallow water flow over the dry bed including balancing
On numerical treatment of shallow water flow over the dry bed including balancing // Proceedings of 4th International Congress of Croatian Society of Mechanics / Matejiček, Franjo (ur.).
Bizovac: Grafika Osijek, 2003. str. 77-84 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
CROSBI ID: 142830 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On numerical treatment of shallow water flow over the dry bed including balancing
Autori
Sopta, Luka ; Črnjarić-Žic, Nelida ; Vuković, Senka
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of 4th International Congress of Croatian Society of Mechanics
/ Matejiček, Franjo - Bizovac : Grafika Osijek, 2003, 77-84
Skup
4th International Congress of Croatian Society of Mechanics
Mjesto i datum
Bizovac, Hrvatska, 18.09.2003. - 20.09.2003
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Shallow-water equations; finite volume method; source term; dry bed; unstructured grid
Sažetak
The shallow water equations are accepted in many practical applications as the governing equations for the unsteady water flow in natural watercourses and in the case of flooding. For modelling a realistic problem it is necessary to use this nonhomogeneous system that includes source terms relevant to the varying bed topography. The first emphasis of this work is on using the numerical scheme in which the source term is appropriately discretized, so that the balance between the flux gradient and the source term is obtained. The first order scheme developed by Hubbard and Garcia-Navarro in [5] by an extension of the standard upwind finite volume numerical scheme based on the Roe’ s approximate solver, satisfies that balancing property, so we present it and use it in this work. The scheme is applied here to both one- and two-dimensional problems. Besides the problem of the correct source term discretisation an additional problem arises if the propagation over the dry bed occurs. We propose here a numerical technique that is necessary for appropriate treatment of this problem. This technique is crucial for the water flow computations over the natural watercourses. Simulation results corresponding to the test problems in the last section illustrate that the proposed numerical treatment successfully handles complex flow domains.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Temeljne tehničke znanosti
