High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws
By introducing hybrid technique into high-order CPR (correction procedure via reconstruction) scheme, a novel hybrid WCNS-CPR scheme is developed for efficient supersonic simulations. Firstly, a shock detector based on nonlinear weights is used to identify grid cells with high gradients or discontin...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/8825445 |
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| _version_ | 1832554061826621440 |
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| author | Jia Guo Huajun Zhu Zhen-Guo Yan Lingyan Tang Songhe Song |
| author_facet | Jia Guo Huajun Zhu Zhen-Guo Yan Lingyan Tang Songhe Song |
| author_sort | Jia Guo |
| collection | DOAJ |
| description | By introducing hybrid technique into high-order CPR (correction procedure via reconstruction) scheme, a novel hybrid WCNS-CPR scheme is developed for efficient supersonic simulations. Firstly, a shock detector based on nonlinear weights is used to identify grid cells with high gradients or discontinuities throughout the whole flow field. Then, WCNS (weighted compact nonlinear scheme) is adopted to capture shocks in these areas, while the smooth area is calculated by CPR. A strategy to treat the interfaces of the two schemes is developed, which maintains high-order accuracy. Convergent order of accuracy and shock-capturing ability are tested in several numerical experiments; the results of which show that this hybrid scheme achieves expected high-order accuracy and high resolution, is robust in shock capturing, and has less computational cost compared to the WCNS. |
| format | Article |
| id | doaj-art-0d026367cdef4801ad459be7201a6869 |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-0d026367cdef4801ad459be7201a68692025-02-03T05:52:26ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742020-01-01202010.1155/2020/88254458825445High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation LawsJia Guo0Huajun Zhu1Zhen-Guo Yan2Lingyan Tang3Songhe Song4College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, Hunan 410073, ChinaState Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang, Sichuan 621000, ChinaState Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang, Sichuan 621000, ChinaCollege of Liberal Arts and Sciences, National University of Defense Technology, Changsha, Hunan 410073, ChinaCollege of Liberal Arts and Sciences, National University of Defense Technology, Changsha, Hunan 410073, ChinaBy introducing hybrid technique into high-order CPR (correction procedure via reconstruction) scheme, a novel hybrid WCNS-CPR scheme is developed for efficient supersonic simulations. Firstly, a shock detector based on nonlinear weights is used to identify grid cells with high gradients or discontinuities throughout the whole flow field. Then, WCNS (weighted compact nonlinear scheme) is adopted to capture shocks in these areas, while the smooth area is calculated by CPR. A strategy to treat the interfaces of the two schemes is developed, which maintains high-order accuracy. Convergent order of accuracy and shock-capturing ability are tested in several numerical experiments; the results of which show that this hybrid scheme achieves expected high-order accuracy and high resolution, is robust in shock capturing, and has less computational cost compared to the WCNS.http://dx.doi.org/10.1155/2020/8825445 |
| spellingShingle | Jia Guo Huajun Zhu Zhen-Guo Yan Lingyan Tang Songhe Song High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws International Journal of Aerospace Engineering |
| title | High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws |
| title_full | High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws |
| title_fullStr | High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws |
| title_full_unstemmed | High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws |
| title_short | High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws |
| title_sort | high order hybrid wcns cpr scheme for shock capturing of conservation laws |
| url | http://dx.doi.org/10.1155/2020/8825445 |
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