Order of Accuracy of Extended Weno Schemes

Senka Vuković (), Nelida Črnjarić-Žic () and Luka Sopta ()
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Senka Vuković: University of Rijeka
Nelida Črnjarić-Žic: University of Rijeka
Luka Sopta: University of Rijeka

A chapter in Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, pp 329-341 from Springer

Abstract: Abstract 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 through 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.

Keywords: hyperbolic balance laws; source term; spatially varying flux; WENO schemes; order of accuracy (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3197-7_25

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DOI: 10.1007/1-4020-3197-1_25

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