000014714 001__ 14714
000014714 005__ 20161115100200.0
000014714 04107 $$aeng
000014714 046__ $$k2016-08-21
000014714 100__ $$aShen, Yiqing
000014714 24500 $$aHigh Order Global Smoothness Indicator for Improving the Fifth- order Weno-z Scheme

000014714 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014714 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014714 506__ $$arestricted
000014714 520__ $$2eng$$aTwo new high-order (sixth- and seventh-order) global smoothness indicators of the 5-point stencil used in the fifth-order WENO scheme are proposed. Using the new smoothness indicators to construct the WENO-Z type scheme, the sufficient condition of the fifth order convergence for a fifth-order WENO is satisfied even at critical points where the first-order derivatives are zero. Compared with existing global smoothness indicators, two new indicators contain all terms in the smoothness indicators of three sub-stencils, and the maximal ratio of the coefficients of different first-order undivided differences (Ƹfi+1/2=fi+1-fi) is not greater than 3. Hence they can keep the property of essentially non-oscillation as well as low dissipation. Numerical results demonstrate the improved accuracy and robustness of the new WENO schemes.

000014714 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014714 653__ $$a

000014714 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014714 720__ $$aShen, Yiqing
000014714 8560_ $$ffischerc@itam.cas.cz
000014714 8564_ $$s203898$$uhttps://invenio.itam.cas.cz/record/14714/files/TS.FM13-3.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1354, code TS.FM13-3.01
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000014714 962__ $$r13812
000014714 980__ $$aPAPER