Numerical study of hybrid third order compact scheme for hyperbolic conservation laws
| Autor: | Indra Wibisono, Yanuar, Engkos Achmad Kosasih |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Conservation law
WENO 020209 energy Flux Hybrid numerical scheme 02 engineering and technology Radius Radius of curvature Radius of curvature (optics) Third order General Energy 020401 chemical engineering Hyperbolic conservation laws Scheme (mathematics) ddc:330 0202 electrical engineering electronic engineering information engineering Applied mathematics Point (geometry) lcsh:Electrical engineering. Electronics. Nuclear engineering 0204 chemical engineering Shock tube lcsh:TK1-9971 Mathematics |
| Zdroj: | Energy Reports, Vol 6, Iss, Pp 698-702 (2020) |
| ISSN: | 2352-4847 |
| Popis: | 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. Keywords: WENO, Hybrid numerical scheme, Hyperbolic conservation laws, Radius of curvature |
| Databáze: | OpenAIRE |
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