Balanced central NT schemes for the shallow water equations (CROSBI ID 505721)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Črnjarić-Žic, Nelida ; Vuković, Senka ; Sopta, Luka
engleski
Balanced central NT schemes for the shallow water equations
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.
balance law; central schemes; exact C-property; shallow water equations
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Podaci o prilogu
171-185-x.
2005.
objavljeno
Podaci o matičnoj publikaciji
Proceedings of the Conference on Applied Mathematics and Scientific Computing
Drmač, Zlatko ; Marušić, Miljenko ; Tutek, Zvonimir
Dordrecht: Springer
Podaci o skupu
Nepoznat skup
predavanje
29.02.1904-29.02.2096