Naslov
WENO schemes with Marquina's flux splitting

Autori
Črnjarić-Žic, Nelida ; Maćešić, Senka ; Sopta, Luka ;

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

Izvornik
Third Croatian Mathematical Congress / - , 2004

Skup
Treći hrvatski matematički kongres = Third Croatian Congress of Mathematics

Mjesto i datum
Split, Hrvatska, 16.06.2004. - 18.06.2004

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Weno; Marquina's flux; balance laws; shallow water; open-channel

Sažetak
The commonly used types of finite difference WENO schemes use the Roe with entropy fix and locally Lax-Friedrichs flux splitting. In both cases the flux values at the cell boundaries are obtained by using the WENO reconstruction of the local characteristic variables. Typically, the characteristic fields are determined from the Jacobian matrix of the flux evaluated at some reasonable average of the adjacent states, Roe or van Leer average for example. On the other hand Marquina introduced a flux splitting technique based on the characteristic field values obtained from the Jacobian matrixes computed separately at the left and the right states of the considered cell boundary. In this paper the Marquina's flux is used in combination with the finite difference WENO schemes. Moreover, we extend the considered schemes to the balance laws. This extension is made such that the balancing between the flux gradient and the source term is achieved. The comparison with other finite difference WENO schemes is made through several shallow water and open-channel flow test problems.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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