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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: | , , |
| 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
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| Gesamtaufnahme: |
: Energy reports, 6(2020), 2 vom: Feb., Seite 698-702
, volume:6 |
| Schlagwörter: | |
| Quelle: | Verbunddaten SWB Lizenzfreie Online-Ressourcen |
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| 520 | |a 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. | ||
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| contents | 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. |
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| spelling | Wibisono, Indra VerfasserIn aut, Numerical study of hybrid third order compact scheme for hyperbolic conservation laws Indra Wibisono, Yanuar, E.A. Kosasih, 2020, Text txt rdacontent, Computermedien c rdamedia, Online-Ressource cr rdacarrier, DE-206 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2, 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., DE-206 Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International CC BY-NC-ND 4.0 cc https://creativecommons.org/licenses/by-nc-nd/4.0/, Aufsatz in Zeitschrift DE-206, Kongressbeitrag DE-206, Yanuar VerfasserIn aut, Kosasih, E.A. VerfasserIn aut, Enthalten in Energy reports Amsterdam [u.a.] : Elsevier, 2015 6(2020), 2 vom: Feb., Seite 698-702 Online-Ressource (DE-627)820689033 (DE-600)2814795-9 (DE-576)427950821 2352-4847 nnns, volume:6 year:2020 number:2 month:02 pages:698-702, https://www.sciencedirect.com/science/article/pii/S2352484719311011/pdfft?md5=49b730c83ca0ed42f591e60710bd4b81&pid=1-s2.0-S2352484719311011-main.pdf Verlag kostenfrei, https://doi.org/10.1016/j.egyr.2019.11.140 Resolving-System kostenfrei, http://hdl.handle.net/10419/243954 Resolving-System kostenfrei, https://doi.org/10.1016/j.egyr.2019.11.140 LFER, https://www.sciencedirect.com/science/article/pii/S2352484719311011/pdfft?md5=49b730c83ca0ed42f591e60710bd4b81&pid=1-s2.0-S2352484719311011-main.pdf LFER, LFER 2020-04-07T00:00:00Z |
| spellingShingle | Wibisono, Indra, Yanuar, Kosasih, E.A., Numerical study of hybrid third order compact scheme for hyperbolic conservation laws, 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., Aufsatz in Zeitschrift, Kongressbeitrag |
| title | Numerical study of hybrid third order compact scheme for hyperbolic conservation laws |
| title_auth | Numerical study of hybrid third order compact scheme for hyperbolic conservation laws |
| title_full | Numerical study of hybrid third order compact scheme for hyperbolic conservation laws Indra Wibisono, Yanuar, E.A. Kosasih |
| title_fullStr | Numerical study of hybrid third order compact scheme for hyperbolic conservation laws Indra Wibisono, Yanuar, E.A. Kosasih |
| title_full_unstemmed | Numerical study of hybrid third order compact scheme for hyperbolic conservation laws Indra Wibisono, Yanuar, E.A. Kosasih |
| title_in_hierarchy | Numerical study of hybrid third order compact scheme for hyperbolic conservation laws / Indra Wibisono, Yanuar, E.A. Kosasih, |
| title_short | Numerical study of hybrid third order compact scheme for hyperbolic conservation laws |
| title_sort | numerical study of hybrid third order compact scheme for hyperbolic conservation laws |
| topic | Aufsatz in Zeitschrift, Kongressbeitrag |
| topic_facet | Aufsatz in Zeitschrift, Kongressbeitrag |
| url | https://www.sciencedirect.com/science/article/pii/S2352484719311011/pdfft?md5=49b730c83ca0ed42f591e60710bd4b81&pid=1-s2.0-S2352484719311011-main.pdf, https://doi.org/10.1016/j.egyr.2019.11.140, http://hdl.handle.net/10419/243954 |