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Numerical study of hybrid third order compact scheme for hyperbolic conservation laws

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Veröffentlicht in: Energy reports 6(2020), 2 vom: Feb., Seite 698-702
Personen und Körperschaften: Wibisono, Indra (VerfasserIn), Yanuar (VerfasserIn), Kosasih, E.A. (VerfasserIn)
Titel: Numerical study of hybrid third order compact scheme for hyperbolic conservation laws/ Indra Wibisono, Yanuar, E.A. Kosasih
Format: E-Book-Kapitel
Sprache: Englisch
veröffentlicht:
2020
Gesamtaufnahme: : Energy reports, 6(2020), 2 vom: Feb., Seite 698-702
, volume:6
Schlagwörter:
Quelle: Verbunddaten SWB
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Zusammenfassung: In this paper, we present a numerical study to study the capability of the radius of curvature to detect the discontinuous point for hybrid high order schemes. This hybrid scheme primarily developed to reduce the computational time, but preserve the numerical accuracy. WENO-PZ3 is adopted to construct the physical flux in a small radius, and compact third-order TVD scheme otherwise. The numerical scheme is tested in quasi-one-dimensional Sod's shock tube problem. The results show that the hybrid schemes deliver 0.76 computational time ratios compared to the full WENO-PZ3 scheme and the numerical accuracy is maintained. We found that the radius of curvature is capable of detecting the discontinuous point, and the suitable radius of curvature to be categorized as the small radius is less than 0.025.
ISSN: 2352-4847
DOI: 10.1016/j.egyr.2019.11.140
Zugang: Open Access