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Numerical Approximations of the Sediment Transport Equations


Sopta, Luka; Črnjaric-Zic, Nelida; Vuković, Senka
Numerical Approximations of the Sediment Transport Equations // Applied Mathematics and Scientific Computing / Drmač, Zlatko ; Hari, Vjeran ; Sopta, Luka ; Tutek, Zvonimir ; Veselić, Krešimir (ur.).
New York: Kluwer Academic Press, 2003.


Naslov
Numerical Approximations of the Sediment Transport Equations

Autori
Sopta, Luka ; Črnjaric-Zic, Nelida ; Vuković, Senka

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 Press

Grad
New York

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



POVEZANOST RADA


Projekt / tema
0069005

Ustanove
Tehnički fakultet, Rijeka