Pregled bibliografske jedinice broj: 128653
High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing
High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing // Applied Mathematics and Scientific Computing / Drmač, Zlatko ; Hari, Vjeran ; Sopta, Luka ; Tutek, Zvonimir ; Veselić, Krešimir (ur.).
New York (NY): Kluwer Academic Publishers, 2003.
CROSBI ID: 128653 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing
Autori
Vuković, Senka ; Sopta, Luka
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Applied Mathematics and Scientific Computing
Urednik/ci
Drmač, Zlatko ; Hari, Vjeran ; Sopta, Luka ; Tutek, Zvonimir ; Veselić, Krešimir
Izdavač
Kluwer Academic Publishers
Grad
New York (NY)
Godina
2003
Raspon stranica
ISBN
0-306-47426-3
Ključne riječi
conservation laws, source term decomposition, exact C-property, sediment transport
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Temeljne tehničke znanosti
