A high-resolution, hybrid compact-WENO scheme with minimized dispersion and controllable dissipation
In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family oftri-diagonal compact schemes to have independent dispersion and dissipation is derived. Th...
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| Published in | Science China. Physics, mechanics & astronomy Vol. 57; no. 5; pp. 971 - 982 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Science China Press
01.05.2014
Springer Nature B.V |
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| Online Access | Get full text |
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| Abstract | In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family oftri-diagonal compact schemes to have independent dispersion and dissipation is derived. Then, a specific 4th order compact scheme with low dispersion and adjustable dissipation is constructed and analyzed. Finally, the optimized compact scheme is blended with the WENO scheme to form the hybrid scheme. Moreover, the approximation dispersion relation approach is employed to optimize the spectral properties of the nonlinear scheme to yield the true wave propagation behavior of the finite difference scheme. Several test cases are carried out to verify the high- resolution as well as the robust shock-capturing capabilities of the proposed scheme. |
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| AbstractList | In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family of tri-diagonal compact schemes to have independent dispersion and dissipation is derived. Then, a specific 4th order compact scheme with low dispersion and adjustable dissipation is constructed and analyzed. Finally, the optimized compact scheme is blended with the WENO scheme to form the hybrid scheme. Moreover, the approximation dispersion relation approach is employed to optimize the spectral properties of the nonlinear scheme to yield the true wave propagation behavior of the finite difference scheme. Several test cases are carried out to verify the high-resolution as well as the robust shock-capturing capabilities of the proposed scheme. In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family oftri-diagonal compact schemes to have independent dispersion and dissipation is derived. Then, a specific 4th order compact scheme with low dispersion and adjustable dissipation is constructed and analyzed. Finally, the optimized compact scheme is blended with the WENO scheme to form the hybrid scheme. Moreover, the approximation dispersion relation approach is employed to optimize the spectral properties of the nonlinear scheme to yield the true wave propagation behavior of the finite difference scheme. Several test cases are carried out to verify the high- resolution as well as the robust shock-capturing capabilities of the proposed scheme. |
| Author | SUN ZhenSheng HU Yu LUO Lei ZHANG ShiYing YANG ZhengWei |
| AuthorAffiliation | Xi＇an Research Institute of High-tech, Xi＇an 710025, China |
| Author_xml | – sequence: 1 givenname: ZhenSheng surname: Sun fullname: Sun, ZhenSheng email: szs07@mails.tsinghua.edu.cn organization: Xi’an Research Institute of High-tech – sequence: 2 givenname: Yu surname: Hu fullname: Hu, Yu organization: Xi’an Research Institute of High-tech – sequence: 3 givenname: Lei surname: Luo fullname: Luo, Lei organization: Xi’an Research Institute of High-tech – sequence: 4 givenname: ShiYing surname: Zhang fullname: Zhang, ShiYing organization: Xi’an Research Institute of High-tech – sequence: 5 givenname: ZhengWei surname: Yang fullname: Yang, ZhengWei organization: Xi’an Research Institute of High-tech |
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| CitedBy_id | crossref_primary_10_1016_j_compfluid_2021_105226 crossref_primary_10_1007_s10915_022_01884_x crossref_primary_10_1007_s11431_015_5966_1 crossref_primary_10_1016_j_cnsns_2023_107777 crossref_primary_10_1016_j_compfluid_2016_09_011 crossref_primary_10_7498_aps_71_20220102 crossref_primary_10_1063_1_4998300 crossref_primary_10_1007_s11433_016_5784_x |
| Cites_doi | 10.1016/j.jcp.2006.05.009 10.1016/0021-9991(87)90031-3 10.1146/annurev-fluid-122109-160718 10.1002/(SICI)1097-0363(19990130)29:2<159::AID-FLD781>3.0.CO;2-9 10.1016/j.jcp.2006.07.009 10.1006/jcph.1996.0156 10.1016/S0045-7930(02)00019-1 10.2514/3.12436 10.1016/j.jcp.2003.07.006 10.1016/j.jcp.2011.02.038 10.1016/0021-9991(84)90142-6 10.1016/S0045-7930(00)00006-2 10.1017/S0022112095004587 10.1006/jcph.1997.5745 10.1006/jcph.1993.1142 10.1016/j.jcp.2006.09.010 10.1146/annurev.fluid.30.1.539 10.1006/jcph.2002.7021 10.1002/fld.978 10.1006/jcph.1996.0130 |
| ContentType | Journal Article |
| Copyright | Science China Press and Springer-Verlag Berlin Heidelberg 2014 Science China Press and Springer-Verlag Berlin Heidelberg 2014. |
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| DOI | 10.1007/s11433-013-5305-0 |
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| Keywords | nonlinear spectral analysis spectral optimization shock-capturing schemes binaries: high-resolution schemes |
| Language | English |
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| Notes | 11-5000/N binaries： high-resolution schemes, shock-capturing schemes, nonlinear spectral analysis, spectral optimization In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family oftri-diagonal compact schemes to have independent dispersion and dissipation is derived. Then, a specific 4th order compact scheme with low dispersion and adjustable dissipation is constructed and analyzed. Finally, the optimized compact scheme is blended with the WENO scheme to form the hybrid scheme. Moreover, the approximation dispersion relation approach is employed to optimize the spectral properties of the nonlinear scheme to yield the true wave propagation behavior of the finite difference scheme. Several test cases are carried out to verify the high- resolution as well as the robust shock-capturing capabilities of the proposed scheme. ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| PublicationDate | 2014-05-01 |
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| PublicationPlace | Heidelberg |
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| PublicationTitle | Science China. Physics, mechanics & astronomy |
| PublicationTitleAbbrev | Sci. China Phys. Mech. Astron |
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| PublicationYear | 2014 |
| Publisher | Science China Press Springer Nature B.V |
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| SubjectTerms | Approximation Astronomy Classical and Continuum Physics Controllability Dispersions Dissipation Finite difference method High resolution Mathematical analysis Observations and Techniques Physics Physics and Astronomy Spectra Stability Wave propagation WENO格式 分散性 可控 最小化 混合动力 紧凑 耗散 高分辨率 |
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| Title | A high-resolution, hybrid compact-WENO scheme with minimized dispersion and controllable dissipation |
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