A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry
Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with so...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhang, Xiaotao [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
Multi-medium compressible flow |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Übergeordnetes Werk: |
Enthalten in: Journal of scientific computing - New York, NY [u.a.] : Springer Science + Business Media B.V., 1986, 93(2022), 1 vom: 22. Aug. |
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| Übergeordnetes Werk: |
volume:93 ; year:2022 ; number:1 ; day:22 ; month:08 |
| Links: |
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| DOI / URN: |
10.1007/s10915-022-01975-9 |
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| Katalog-ID: |
SPR047907665 |
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| 245 | 1 | 2 | |a A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry |
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| 520 | |a Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. | ||
| 650 | 4 | |a Multi-medium compressible flow |7 (dpeaa)DE-He213 | |
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| 650 | 4 | |a Modified ghost fluid method |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Multi-medium generalized Riemann problem |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Discontinuous Galerkin method |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Liu, Tiegang |4 aut | |
| 700 | 1 | |a Yu, Changsheng |4 aut | |
| 700 | 1 | |a Feng, Chengliang |0 (orcid)0000-0001-8465-7218 |4 aut | |
| 700 | 1 | |a Zeng, Zhiqiang |4 aut | |
| 700 | 1 | |a Wang, Kun |4 aut | |
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10.1007/s10915-022-01975-9 doi (DE-627)SPR047907665 (SPR)s10915-022-01975-9-e DE-627 ger DE-627 rakwb eng Zhang, Xiaotao verfasserin aut A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. Multi-medium compressible flow (dpeaa)DE-He213 Ghost fluid method (dpeaa)DE-He213 Modified ghost fluid method (dpeaa)DE-He213 Multi-medium generalized Riemann problem (dpeaa)DE-He213 Discontinuous Galerkin method (dpeaa)DE-He213 Liu, Tiegang aut Yu, Changsheng aut Feng, Chengliang (orcid)0000-0001-8465-7218 aut Zeng, Zhiqiang aut Wang, Kun aut Enthalten in Journal of scientific computing New York, NY [u.a.] : Springer Science + Business Media B.V., 1986 93(2022), 1 vom: 22. Aug. (DE-627)317878395 (DE-600)2017260-6 1573-7691 nnns volume:93 year:2022 number:1 day:22 month:08 https://dx.doi.org/10.1007/s10915-022-01975-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2022 1 22 08 |
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10.1007/s10915-022-01975-9 doi (DE-627)SPR047907665 (SPR)s10915-022-01975-9-e DE-627 ger DE-627 rakwb eng Zhang, Xiaotao verfasserin aut A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. Multi-medium compressible flow (dpeaa)DE-He213 Ghost fluid method (dpeaa)DE-He213 Modified ghost fluid method (dpeaa)DE-He213 Multi-medium generalized Riemann problem (dpeaa)DE-He213 Discontinuous Galerkin method (dpeaa)DE-He213 Liu, Tiegang aut Yu, Changsheng aut Feng, Chengliang (orcid)0000-0001-8465-7218 aut Zeng, Zhiqiang aut Wang, Kun aut Enthalten in Journal of scientific computing New York, NY [u.a.] : Springer Science + Business Media B.V., 1986 93(2022), 1 vom: 22. Aug. (DE-627)317878395 (DE-600)2017260-6 1573-7691 nnns volume:93 year:2022 number:1 day:22 month:08 https://dx.doi.org/10.1007/s10915-022-01975-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2022 1 22 08 |
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10.1007/s10915-022-01975-9 doi (DE-627)SPR047907665 (SPR)s10915-022-01975-9-e DE-627 ger DE-627 rakwb eng Zhang, Xiaotao verfasserin aut A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. Multi-medium compressible flow (dpeaa)DE-He213 Ghost fluid method (dpeaa)DE-He213 Modified ghost fluid method (dpeaa)DE-He213 Multi-medium generalized Riemann problem (dpeaa)DE-He213 Discontinuous Galerkin method (dpeaa)DE-He213 Liu, Tiegang aut Yu, Changsheng aut Feng, Chengliang (orcid)0000-0001-8465-7218 aut Zeng, Zhiqiang aut Wang, Kun aut Enthalten in Journal of scientific computing New York, NY [u.a.] : Springer Science + Business Media B.V., 1986 93(2022), 1 vom: 22. Aug. (DE-627)317878395 (DE-600)2017260-6 1573-7691 nnns volume:93 year:2022 number:1 day:22 month:08 https://dx.doi.org/10.1007/s10915-022-01975-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2022 1 22 08 |
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10.1007/s10915-022-01975-9 doi (DE-627)SPR047907665 (SPR)s10915-022-01975-9-e DE-627 ger DE-627 rakwb eng Zhang, Xiaotao verfasserin aut A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. Multi-medium compressible flow (dpeaa)DE-He213 Ghost fluid method (dpeaa)DE-He213 Modified ghost fluid method (dpeaa)DE-He213 Multi-medium generalized Riemann problem (dpeaa)DE-He213 Discontinuous Galerkin method (dpeaa)DE-He213 Liu, Tiegang aut Yu, Changsheng aut Feng, Chengliang (orcid)0000-0001-8465-7218 aut Zeng, Zhiqiang aut Wang, Kun aut Enthalten in Journal of scientific computing New York, NY [u.a.] : Springer Science + Business Media B.V., 1986 93(2022), 1 vom: 22. Aug. (DE-627)317878395 (DE-600)2017260-6 1573-7691 nnns volume:93 year:2022 number:1 day:22 month:08 https://dx.doi.org/10.1007/s10915-022-01975-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2022 1 22 08 |
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10.1007/s10915-022-01975-9 doi (DE-627)SPR047907665 (SPR)s10915-022-01975-9-e DE-627 ger DE-627 rakwb eng Zhang, Xiaotao verfasserin aut A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. Multi-medium compressible flow (dpeaa)DE-He213 Ghost fluid method (dpeaa)DE-He213 Modified ghost fluid method (dpeaa)DE-He213 Multi-medium generalized Riemann problem (dpeaa)DE-He213 Discontinuous Galerkin method (dpeaa)DE-He213 Liu, Tiegang aut Yu, Changsheng aut Feng, Chengliang (orcid)0000-0001-8465-7218 aut Zeng, Zhiqiang aut Wang, Kun aut Enthalten in Journal of scientific computing New York, NY [u.a.] : Springer Science + Business Media B.V., 1986 93(2022), 1 vom: 22. Aug. (DE-627)317878395 (DE-600)2017260-6 1573-7691 nnns volume:93 year:2022 number:1 day:22 month:08 https://dx.doi.org/10.1007/s10915-022-01975-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 93 2022 1 22 08 |
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Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. 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Zhang, Xiaotao |
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Zhang, Xiaotao misc Multi-medium compressible flow misc Ghost fluid method misc Modified ghost fluid method misc Multi-medium generalized Riemann problem misc Discontinuous Galerkin method A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry |
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A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry Multi-medium compressible flow (dpeaa)DE-He213 Ghost fluid method (dpeaa)DE-He213 Modified ghost fluid method (dpeaa)DE-He213 Multi-medium generalized Riemann problem (dpeaa)DE-He213 Discontinuous Galerkin method (dpeaa)DE-He213 |
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misc Multi-medium compressible flow misc Ghost fluid method misc Modified ghost fluid method misc Multi-medium generalized Riemann problem misc Discontinuous Galerkin method |
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misc Multi-medium compressible flow misc Ghost fluid method misc Modified ghost fluid method misc Multi-medium generalized Riemann problem misc Discontinuous Galerkin method |
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A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry |
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A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry |
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Zhang, Xiaotao Liu, Tiegang Yu, Changsheng Feng, Chengliang Zeng, Zhiqiang Wang, Kun |
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second-order modified ghost fluid method (2nd-mgfm) with discontinuous galerkin method for 1-d compressible multi-medium problem with cylindrical and spherical symmetry |
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A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry |
| abstract |
Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstractGer |
Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstract_unstemmed |
Abstract In this work, we develop the discontinuous Galerkin method to simulate 1-D cylindrical and spherical compressible multi-medium flows with an immiscible interface. To treat the interface with higher-order accuracy, the modified ghost fluid method is extended to a second-order version with source terms, in which linearly distributed ghost fluid states are constructed. A multi-medium generalized Riemann problem with the geometrical source is constructed to predict the states and the spatial derivatives at the interface. The predicted interface states and spatial derivatives are then employed to define the linearly distributed ghost fluid states. Theoretical analysis shows that the proposed second-order modified ghost fluid method (2nd-MGFM) can effectively eliminate the first order major error term occurring to the interface and accumulating with time when there is interface acceleration. Numerical results exhibit the proposed 2nd-MGFM can suppress overheating at the accelerating wall and pressure dislocation at the accelerating interface very well. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry |
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https://dx.doi.org/10.1007/s10915-022-01975-9 |
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Liu, Tiegang Yu, Changsheng Feng, Chengliang Zeng, Zhiqiang Wang, Kun |
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Liu, Tiegang Yu, Changsheng Feng, Chengliang Zeng, Zhiqiang Wang, Kun |
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10.1007/s10915-022-01975-9 |
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2024-07-03T15:47:11.586Z |
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code="a">GBV_ILN_4336</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4393</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">93</subfield><subfield code="j">2022</subfield><subfield code="e">1</subfield><subfield code="b">22</subfield><subfield code="c">08</subfield></datafield></record></collection>
|
| score |
7.400008 |