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High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing (CROSBI ID 28429)

Prilog u knjizi | izvorni znanstveni rad

Vuković, Senka ; Sopta, Luka High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing // Applied Mathematics and Scientific Computing / Drmač, Zlatko ; Hari, Vjeran ; Sopta, Luka et al. (ur.). New York (NY): Kluwer Academic Publishers, 2003. str. 350-x

Podaci o odgovornosti

Vuković, Senka ; Sopta, Luka

engleski

High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing

The mathematical model describing the physical phenomenon of one-dimensional bed-load sediment transport in channels and rivers consists of three equations. Two of them represent conservation laws for one-dimensional shallow water equations, and third is the conservation law governing bed-load sediment transport. Here we consider one possible type of the sediment flux proposed by Hudson and Sweby {; ; ; ; \cite{; ; ; ; hsw}; ; ; ; }; ; ; ; . We compare numerical results for test problems using different numerical schemes: Q-scheme, Hubbard's scheme, ENO Roe and ENO locally Lax-Friedrichs scheme. The obtained results illustrate good properties of ENO schemes with the source term decomposition, developed by authors. We also prove that these schemes have the exact C-property when applied to the sediment transport equations.

conservation laws, source term decomposition, exact C-property, sediment transport

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Podaci o prilogu

350-x.

objavljeno

Podaci o knjizi

Applied Mathematics and Scientific Computing

Drmač, Zlatko ; Hari, Vjeran ; Sopta, Luka ; Tutek, Zvonimir ; Veselić, Krešimir

New York (NY): Kluwer Academic Publishers

2003.

0-306-47426-3

Povezanost rada

Temeljne tehničke znanosti, Matematika