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Order of Accuracy of Extended Weno Schemes

In: Proceedings of the Conference on Applied Mathematics and Scientific Computing

Author

Listed:
  • Senka Vuković

    (University of Rijeka)

  • Nelida Črnjarić-Žic

    (University of Rijeka)

  • Luka Sopta

    (University of Rijeka)

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.

Suggested Citation

  • Senka Vuković & Nelida Črnjarić-Žic & Luka Sopta, 2005. "Order of Accuracy of Extended Weno Schemes," Springer Books, in: Zlatko Drmač & Miljenko Marušić & Zvonimir Tutek (ed.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, pages 329-341, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-3197-7_25
    DOI: 10.1007/1-4020-3197-1_25
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