 Third-order WENO schemes with kinetic flux vector splittingNaga Raju Gande and Ashlesha A. Bhise Applied Mathematics and Computation, 2020, vol. 378, issue C Abstract: The numerical methods for solving the hyperbolic conservation laws are mainly based on the upwinding principle. The weighted essentially nonoscillatory (WENO) schemes are among the most commonly used numerical schemes for solving the hyperbolic conservation laws due to their nonoscillatory property and high order good shock capturing abilities. The upwinding principle requires the splitting of the flux into its positive and negative parts. WENO schemes have so far been widely implemented using the Lax Friedrich flux vector splitting technique for splitting purpose. In this article, we have implemented them with the kinetic flux vector splitting (KFVS) technique. The comparison has been made with both flux vector splitting techniques for one dimensional Euler equations. The results obtained are as expected, considerable improvement has been seen in the solution obtained by the scheme which has been implemented with the kinetic flux vector splitting. The reason being KFVS is based on the sign of the intermolecular particle velocity, which is a physical quantity. Keywords: Conservation laws; WENO scheme; Kinetic flux vector splitting; Lax Friedrich flux splitting; Euler equations; TVD Runge Kutta scheme (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301727 DOI: 10.1016/j.amc.2020.125203 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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