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SIXTH-ORDER WEIGHTED ESSENTIALLY NONOSCILLATORY SCHEMES BASED ON EXPONENTIAL POLYNOMIALS

Title
SIXTH-ORDER WEIGHTED ESSENTIALLY NONOSCILLATORY SCHEMES BASED ON EXPONENTIAL POLYNOMIALS
Authors
Ha, YoungsooKim, Chang HoYang, HyoseonYoon, Jungho
Ewha Authors
윤정호
SCOPUS Author ID
윤정호scopus
Issue Date
2016
Journal Title
SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN
1064-8275JCR Link1095-7197JCR Link
Citation
vol. 38, no. 4, pp. A1987 - A2017
Keywords
hyperbolic conservation lawsEuler equationWENO schemeconvergence ordersmoothness indicatornonlinear weights
Publisher
SIAM PUBLICATIONS
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
The aim of this study is to develop a novel sixth-order weighted essentially nonoscillatory (WENO) finite difference scheme. To design new WENO weights, we present two important measurements: a discontinuity detector (at the cell boundary) and a smoothness indicator. The interpolation method is implemented by using exponential polynomials with tension parameters such that they can be tuned to the characteristics of the given data, yielding better approximation near steep gradients without spurious oscillations, compared to the WENO schemes based on algebraic polynomials at lower computational cost. A detailed analysis is performed to verify that the proposed scheme provides the required convergence order of accuracy. Some numerical experiments are presented and compared with other sixth-order WENO schemes to demonstrate the new algorithm's ability.
DOI
10.1137/15M1042814
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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