Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations
In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed bas...
Ausführliche Beschreibung
Autor*in: |
Wang, Zhenming [verfasserIn] Zhu, Jun [verfasserIn] Tian, Linlin [verfasserIn] Zhao, Ning [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2023 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Computers and mathematics with applications - Amsterdam [u.a.] : Elsevier Science, 1975, 150, Seite 1-14 |
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Übergeordnetes Werk: |
volume:150 ; pages:1-14 |
DOI / URN: |
10.1016/j.camwa.2023.08.033 |
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Katalog-ID: |
ELV065291107 |
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245 | 1 | 0 | |a Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations |
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520 | |a In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. | ||
650 | 4 | |a Discontinuous sensor | |
650 | 4 | |a Hybrid method | |
650 | 4 | |a Shallow water equations | |
650 | 4 | |a Unequal-sized WENO scheme | |
700 | 1 | |a Zhu, Jun |e verfasserin |4 aut | |
700 | 1 | |a Tian, Linlin |e verfasserin |4 aut | |
700 | 1 | |a Zhao, Ning |e verfasserin |0 (orcid)0000-0002-2802-2581 |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Computers and mathematics with applications |d Amsterdam [u.a.] : Elsevier Science, 1975 |g 150, Seite 1-14 |h Online-Ressource |w (DE-627)320435121 |w (DE-600)2004251-6 |w (DE-576)259271225 |x 1873-7668 |7 nnns |
773 | 1 | 8 | |g volume:150 |g pages:1-14 |
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912 | |a GBV_ILN_4338 | ||
912 | |a GBV_ILN_4367 | ||
912 | |a GBV_ILN_4393 | ||
912 | |a GBV_ILN_4700 | ||
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allfields |
10.1016/j.camwa.2023.08.033 doi (DE-627)ELV065291107 (ELSEVIER)S0898-1221(23)00388-7 DE-627 ger DE-627 rda eng 510 004 VZ 31.80 bkl 54.80 bkl Wang, Zhenming verfasserin aut Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. Discontinuous sensor Hybrid method Shallow water equations Unequal-sized WENO scheme Zhu, Jun verfasserin aut Tian, Linlin verfasserin aut Zhao, Ning verfasserin (orcid)0000-0002-2802-2581 aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 150, Seite 1-14 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:150 pages:1-14 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 54.80 Angewandte Informatik VZ AR 150 1-14 |
spelling |
10.1016/j.camwa.2023.08.033 doi (DE-627)ELV065291107 (ELSEVIER)S0898-1221(23)00388-7 DE-627 ger DE-627 rda eng 510 004 VZ 31.80 bkl 54.80 bkl Wang, Zhenming verfasserin aut Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. Discontinuous sensor Hybrid method Shallow water equations Unequal-sized WENO scheme Zhu, Jun verfasserin aut Tian, Linlin verfasserin aut Zhao, Ning verfasserin (orcid)0000-0002-2802-2581 aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 150, Seite 1-14 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:150 pages:1-14 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 54.80 Angewandte Informatik VZ AR 150 1-14 |
allfields_unstemmed |
10.1016/j.camwa.2023.08.033 doi (DE-627)ELV065291107 (ELSEVIER)S0898-1221(23)00388-7 DE-627 ger DE-627 rda eng 510 004 VZ 31.80 bkl 54.80 bkl Wang, Zhenming verfasserin aut Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. Discontinuous sensor Hybrid method Shallow water equations Unequal-sized WENO scheme Zhu, Jun verfasserin aut Tian, Linlin verfasserin aut Zhao, Ning verfasserin (orcid)0000-0002-2802-2581 aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 150, Seite 1-14 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:150 pages:1-14 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 54.80 Angewandte Informatik VZ AR 150 1-14 |
allfieldsGer |
10.1016/j.camwa.2023.08.033 doi (DE-627)ELV065291107 (ELSEVIER)S0898-1221(23)00388-7 DE-627 ger DE-627 rda eng 510 004 VZ 31.80 bkl 54.80 bkl Wang, Zhenming verfasserin aut Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. Discontinuous sensor Hybrid method Shallow water equations Unequal-sized WENO scheme Zhu, Jun verfasserin aut Tian, Linlin verfasserin aut Zhao, Ning verfasserin (orcid)0000-0002-2802-2581 aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 150, Seite 1-14 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:150 pages:1-14 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 54.80 Angewandte Informatik VZ AR 150 1-14 |
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10.1016/j.camwa.2023.08.033 doi (DE-627)ELV065291107 (ELSEVIER)S0898-1221(23)00388-7 DE-627 ger DE-627 rda eng 510 004 VZ 31.80 bkl 54.80 bkl Wang, Zhenming verfasserin aut Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. Discontinuous sensor Hybrid method Shallow water equations Unequal-sized WENO scheme Zhu, Jun verfasserin aut Tian, Linlin verfasserin aut Zhao, Ning verfasserin (orcid)0000-0002-2802-2581 aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 150, Seite 1-14 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:150 pages:1-14 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 54.80 Angewandte Informatik VZ AR 150 1-14 |
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Wang, Zhenming @@aut@@ Zhu, Jun @@aut@@ Tian, Linlin @@aut@@ Zhao, Ning @@aut@@ |
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Wang, Zhenming |
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Wang, Zhenming ddc 510 bkl 31.80 bkl 54.80 misc Discontinuous sensor misc Hybrid method misc Shallow water equations misc Unequal-sized WENO scheme Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations |
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510 004 VZ 31.80 bkl 54.80 bkl Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations Discontinuous sensor Hybrid method Shallow water equations Unequal-sized WENO scheme |
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hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations |
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Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations |
abstract |
In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. |
abstractGer |
In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. |
abstract_unstemmed |
In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for solving shallow water equations with or without source terms. The developed discontinuous sensor is directly designed based on the highest degree polynomial obtained from the five-point stencil in the unequal-sized WENO procedures, and can automatically identify the discontinuous region without manually adjusting the parameters related to the problem. Subsequently, a hybrid unequal-sized WENO scheme is developed through this newly designed discontinuous sensor, which uses the cheap linear scheme in the smooth regions and the existing expensive unequal-sized WENO scheme in the vicinity of discontinuous, thus achieving the goal of inheriting the excellent characteristics of the unequal-sized WENO scheme while reducing its computing time. Finally, some benchmark numerical examples are provided to verify the performance of this new WENO scheme for solving shallow water equations in terms of high-order accuracy, exact conservation property, shock capture capability, and computational efficiency. |
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Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations |
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|
score |
7.4012585 |