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An improved weighted essentially non-oscillatory scheme with a new smoothness indicator

Title
An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
Authors
Ha Y.Ho Kim C.Ju Lee Y.Yoon J.
Ewha Authors
윤정호이연주
SCOPUS Author ID
윤정호scopus
Issue Date
2013
Journal Title
Journal of Computational Physics
ISSN
0021-9991JCR Link
Citation
vol. 232, no. 1, pp. 68 - 86
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
In this paper, we present a new smoothness indicator that evaluates the local smoothness of a function inside of a stencil. The corresponding weighted essentially non-oscillatory (WENO) finite difference scheme can provide the fifth convergence order in smooth regions, especially at critical points where the first derivative vanishes (but the second derivatives are non-zero). We provide a detailed analysis to verify the fifth-order accuracy. Some numerical experiments are presented to demonstrate the performance of the proposed scheme. We see that the proposed WENO scheme provides at least the same or improved behavior over the fifth-order WENO-JS scheme [10] and other fifth-order WENO schemes called as WENO-M [9] and WENO-Z [2], but its advantage seems more salient in two dimensional problems. © 2012 Elsevier Inc.
DOI
10.1016/j.jcp.2012.06.016
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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