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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.

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Naslov
Numerical Approximations of the Sediment Transport Equations

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

Poglavlja u knjigama, znanstveni

Knjiga
Applied Mathematics and Scientific Computing

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

Izdavač

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

Projekti:
0069005

Ustanove:
Tehnički fakultet, Rijeka

Profili:

Nelida Črnjarić-Žic (autor)

Luka Sopta (autor)

Senka Maćešić (autor)

#### Citiraj ovu publikaciju:

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.
Sopta, L., Črnjaric-Zic, N. & Vuković, S. (2003) Numerical Approximations of the Sediment Transport Equations. U: Drmač, Z., Hari, V., Sopta, L., Tutek, Z. & Veselić, K. (ur.) Applied Mathematics and Scientific Computing. New York, Kluwer Academic Press.
@inbook{inbook, author = {Sopta, Luka and \v{C}rnjaric-Zic, Nelida and Vukovi\'{c}, Senka}, year = {2003}, pages = {350}, keywords = {conservation laws, source term decomposition, exact C-property, sediment transport}, isbn = {0-306-47426-3}, title = {Numerical Approximations of the Sediment Transport Equations}, keyword = {conservation laws, source term decomposition, exact C-property, sediment transport}, publisher = {Kluwer Academic Press}, publisherplace = {New York} }
@inbook{inbook, author = {Sopta, Luka and \v{C}rnjaric-Zic, Nelida and Vukovi\'{c}, Senka}, year = {2003}, pages = {350}, keywords = {conservation laws, source term decomposition, exact C-property, sediment transport}, isbn = {0-306-47426-3}, title = {Numerical Approximations of the Sediment Transport Equations}, keyword = {conservation laws, source term decomposition, exact C-property, sediment transport}, publisher = {Kluwer Academic Press}, publisherplace = {New York} }

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