Pregled bibliografske jedinice broj: 190602
Order of Accuracy of Extended WENO Schemes
Order of Accuracy of Extended WENO Schemes // Proceedings of the Conference on Applied Mathematics and Scientific Computing / Drmač, Zlatko ; Marušić, Miljenko ; Tutek, Zvonimir (ur.).
Dordrecht: Springer, 2005. str. 329-341 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
Order of Accuracy of Extended WENO Schemes
Autori
Vuković, Senka ; Črnjarić-Žic, Nelida ; Sopta, Luka
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of the Conference on Applied Mathematics and Scientific Computing
/ Drmač, Zlatko ; Marušić, Miljenko ; Tutek, Zvonimir - Dordrecht : Springer, 2005, 329-341
Skup
Third Conference on Applied Mathematics and Scientific Computing, ApplMath03
Mjesto i datum
Brijuni, Hrvatska, 23.06.2003. - 27.06.2003
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
hyperbolic balance laws; source term; spatially varying flux; WENO schemes; order of accuracy
Sažetak
Extended finite difference WENO schemes for hyperbolic balance laws with spatially varying flux and geometrical source term were developed by the authors. In these schemes high order ENO and WENO reconstruction for flux and source term characteristicwise components are used, therefore schemes give high resolution results. In this paper these high order properties are analyzed hrough several convergence tests: on two shallow water tests, one linear acoustics test, and one test for the Burgers equation with a source term. Experimentally established orders of accuracy vs. the theoretically expected orders are compared for the new schemes, as well as for the original WENO schemes combined with pointwise source term evaluation.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Temeljne tehničke znanosti
