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Pregled bibliografske jedinice broj: 190599

Balanced central NT schemes for the shallow water equations


Črnjarić-Žic, Nelida; Vuković, Senka; Sopta, Luka
Balanced central NT schemes for the shallow water equations // Proceedings of the Conference on Applied Mathematics and Scientific Computing / Drmač, Zlatko ; Marušić, Miljenko ; Tutek, Zvonimir (ur.).
Dordrecht: Springer, 2005. str. 171-185 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)


Naslov
Balanced central NT schemes for the shallow water equations

Autori
Črnjarić-Žic, Nelida ; Vuković, Senka ; Sopta, Luka

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the Conference on Applied Mathematics and Scientific Computing / Drmač, Zlatko ; Marušić, Miljenko ; Tutek, Zvonimir - Dordrecht : Springer, 2005, 171-185

Skup
Third Conference on Applied Mathematics and Scientific Computing, ApplMath03

Mjesto i datum
Brijuni, Hrvatska, 23.-27.06.2003.

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Balance law; central schemes; exact C-property; shallow water equations

Sažetak
The numerical method we consider is based on the nonstaggered central scheme proposed by Jiang, Levy, Lin, Osher, and Tadmor (SIAM J. Numer. Anal. 35, 2147(1998)) that was obtained by conversion of the standard central NT scheme to the nonstaggered mesh. The generalization we propose is connected with the numerical evaluation of the geometrical source term. The presented scheme is applied to the nonhomogeneous shallow water system. Including an appropriate numerical treatment for the source term evaluation we obtain the scheme that preserves quiescent steady-state for the shallow water equations exactly. We consider two different approaches that depend on the discretization of the riverbed bottom. The obtained schemes are well balanced and present accurate and robust results in both steady and unsteady flow simulations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne tehničke znanosti



POVEZANOST RADA


Projekt / tema
0069005

Ustanove
Tehnički fakultet, Rijeka