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Semi-implicitne WENO sheme za jednadžbe plitih voda (CROSBI ID 540708)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Crnković, Bojan ; Črnjarić-Žic, Nelida ; Maćešić, Senka Semi-implicitne WENO sheme za jednadžbe plitih voda // 4-th Croatian Mathematical Congres CroMC2008 Abstracts. Osijek, 2008. str. 20-20

Podaci o odgovornosti

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

engleski

Semi-implicitne WENO sheme za jednadžbe plitih voda

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.

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

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Podaci o prilogu

20-20.

2008.

objavljeno

Podaci o matičnoj publikaciji

4-th Croatian Mathematical Congres CroMC2008 Abstracts

Osijek:

Podaci o skupu

Croatian Mathematical Congress (4 ; 2008)

predavanje

17.06.2008-20.06.2008

Osijek, Hrvatska

Povezanost rada

Temeljne tehničke znanosti, Matematika