Naslov
Semi-implicit WENO schemes for the shallow water equations
(Semi-implicitne WENO sheme za jednadžbe plitih voda)

Autori
Crnković, Bojan ; Črnjarić-Žic, Nelida ; Maćešić, Senka

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
4-th Croatian Mathematical Congres CroMC2008 Abstracts / - Osijek, 2008, 20-20

Skup
Croatian Mathematical Congress (4 ; 2008)

Mjesto i datum
Osijek, Hrvatska, 17.06.2008. - 20.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
weighted essentially non-oscillatory; semi-implicit; hyperbolic balance laws; nite volume.

Sažetak
Recent studies have shown that first order semi-implicit well-balanced numerical schemes for open-channel flow equations appear to be very stable and efficient especially when performing long numerical simulations. The main reason for the semi-implicit schemes' efficiency lies in the fact that, unlike explicit schemes, they are not limited with the CFL stability condition. On the other hand, a class of explicit numerical schemes for hyperbolic balance laws, which include the weighted essentially non-oscillatory (WENO) reconstruction, although computationally demanding, have good shock capturing properties and achieve high order of accuracy. In this work we combine the WENO reconstruction with the semi-implicit approach in order to obtain a stable, efficient and accurate numerical scheme. The scheme properties are then analyzed through several test problems. We investigate the scheme stability and its behavior for different CFL numbers.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne tehničke znanosti

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