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


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 ; Tutek, Zvonimir ; Veselić, Krešimir (ur.).
New York: Kluwer Academic Press, 2003.


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 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

Profili:

Avatar Url Senka Maćešić (autor)

Avatar Url Luka Sopta (autor)

Citiraj ovu publikaciju

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 ; Tutek, Zvonimir ; Veselić, Krešimir (ur.).
New York: Kluwer Academic Press, 2003.
Vuković, S. & Sopta, L. (2003) High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing. U: Drmač, Z., Hari, V., Sopta, L., Tutek, Z. & Veselić, K. (ur.) Applied Mathematics and Scientific Computing. New York, Kluwer Academic Press.
@inbook{inbook, year = {2003}, pages = {350}, keywords = {conservation laws, source term decomposition, exact C-property, sediment transport}, isbn = {0-306-47426-3}, title = {High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing}, keyword = {conservation laws, source term decomposition, exact C-property, sediment transport}, publisher = {Kluwer Academic Press}, publisherplace = {New York} }