High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing (CROSBI ID 28429)
Prilog u knjizi | izvorni znanstveni rad
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
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
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