Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction

Abstract The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernán...
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Autor*in:	Burman, Erik [verfasserIn] Fernández, Miguel A. Gerosa, Fannie M.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Fluid-structure interaction Unfitted meshes Splitting schemes

Anmerkung:	© Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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.

Übergeordnetes Werk:	Enthalten in: Vietnam journal of mathematics - Singapore : Springer, 1999, 51(2022), 1 vom: 06. Okt., Seite 37-69
Übergeordnetes Werk:	volume:51 ; year:2022 ; number:1 ; day:06 ; month:10 ; pages:37-69

Links:	Volltext

DOI / URN:	10.1007/s10013-022-00589-w

Katalog-ID:	SPR049038354

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520			\|a Abstract The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme.
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912			\|a GBV_ILN_170
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912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
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912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
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912			\|a GBV_ILN_370
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912			\|a GBV_ILN_2014
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allfields	10.1007/s10013-022-00589-w doi (DE-627)SPR049038354 (SPR)s10013-022-00589-w-e DE-627 ger DE-627 rakwb eng Burman, Erik verfasserin aut Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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 The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme. Fluid-structure interaction (dpeaa)DE-He213 Unfitted meshes (dpeaa)DE-He213 Splitting schemes (dpeaa)DE-He213 Fernández, Miguel A. aut Gerosa, Fannie M. aut Enthalten in Vietnam journal of mathematics Singapore : Springer, 1999 51(2022), 1 vom: 06. Okt., Seite 37-69 (DE-627)300183968 (DE-600)1481450-X 2305-2228 nnns volume:51 year:2022 number:1 day:06 month:10 pages:37-69 https://dx.doi.org/10.1007/s10013-022-00589-w 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 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_2018 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 51 2022 1 06 10 37-69
spelling	10.1007/s10013-022-00589-w doi (DE-627)SPR049038354 (SPR)s10013-022-00589-w-e DE-627 ger DE-627 rakwb eng Burman, Erik verfasserin aut Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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 The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme. Fluid-structure interaction (dpeaa)DE-He213 Unfitted meshes (dpeaa)DE-He213 Splitting schemes (dpeaa)DE-He213 Fernández, Miguel A. aut Gerosa, Fannie M. aut Enthalten in Vietnam journal of mathematics Singapore : Springer, 1999 51(2022), 1 vom: 06. Okt., Seite 37-69 (DE-627)300183968 (DE-600)1481450-X 2305-2228 nnns volume:51 year:2022 number:1 day:06 month:10 pages:37-69 https://dx.doi.org/10.1007/s10013-022-00589-w 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 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_2018 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 51 2022 1 06 10 37-69
allfields_unstemmed	10.1007/s10013-022-00589-w doi (DE-627)SPR049038354 (SPR)s10013-022-00589-w-e DE-627 ger DE-627 rakwb eng Burman, Erik verfasserin aut Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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 The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme. Fluid-structure interaction (dpeaa)DE-He213 Unfitted meshes (dpeaa)DE-He213 Splitting schemes (dpeaa)DE-He213 Fernández, Miguel A. aut Gerosa, Fannie M. aut Enthalten in Vietnam journal of mathematics Singapore : Springer, 1999 51(2022), 1 vom: 06. Okt., Seite 37-69 (DE-627)300183968 (DE-600)1481450-X 2305-2228 nnns volume:51 year:2022 number:1 day:06 month:10 pages:37-69 https://dx.doi.org/10.1007/s10013-022-00589-w 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 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_2018 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 51 2022 1 06 10 37-69
allfieldsGer	10.1007/s10013-022-00589-w doi (DE-627)SPR049038354 (SPR)s10013-022-00589-w-e DE-627 ger DE-627 rakwb eng Burman, Erik verfasserin aut Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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 The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme. Fluid-structure interaction (dpeaa)DE-He213 Unfitted meshes (dpeaa)DE-He213 Splitting schemes (dpeaa)DE-He213 Fernández, Miguel A. aut Gerosa, Fannie M. aut Enthalten in Vietnam journal of mathematics Singapore : Springer, 1999 51(2022), 1 vom: 06. Okt., Seite 37-69 (DE-627)300183968 (DE-600)1481450-X 2305-2228 nnns volume:51 year:2022 number:1 day:06 month:10 pages:37-69 https://dx.doi.org/10.1007/s10013-022-00589-w 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 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_2018 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 51 2022 1 06 10 37-69
allfieldsSound	10.1007/s10013-022-00589-w doi (DE-627)SPR049038354 (SPR)s10013-022-00589-w-e DE-627 ger DE-627 rakwb eng Burman, Erik verfasserin aut Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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 The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme. Fluid-structure interaction (dpeaa)DE-He213 Unfitted meshes (dpeaa)DE-He213 Splitting schemes (dpeaa)DE-He213 Fernández, Miguel A. aut Gerosa, Fannie M. aut Enthalten in Vietnam journal of mathematics Singapore : Springer, 1999 51(2022), 1 vom: 06. Okt., Seite 37-69 (DE-627)300183968 (DE-600)1481450-X 2305-2228 nnns volume:51 year:2022 number:1 day:06 month:10 pages:37-69 https://dx.doi.org/10.1007/s10013-022-00589-w 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 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_2018 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 51 2022 1 06 10 37-69
language	English
source	Enthalten in Vietnam journal of mathematics 51(2022), 1 vom: 06. Okt., Seite 37-69 volume:51 year:2022 number:1 day:06 month:10 pages:37-69
sourceStr	Enthalten in Vietnam journal of mathematics 51(2022), 1 vom: 06. Okt., Seite 37-69 volume:51 year:2022 number:1 day:06 month:10 pages:37-69
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Fluid-structure interaction Unfitted meshes Splitting schemes
isfreeaccess_bool	false
container_title	Vietnam journal of mathematics
authorswithroles_txt_mv	Burman, Erik @@aut@@ Fernández, Miguel A. @@aut@@ Gerosa, Fannie M. @@aut@@
publishDateDaySort_date	2022-10-06T00:00:00Z
hierarchy_top_id	300183968
id	SPR049038354
language_de	englisch
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author	Burman, Erik
spellingShingle	Burman, Erik misc Fluid-structure interaction misc Unfitted meshes misc Splitting schemes Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction
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topic_title	Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction Fluid-structure interaction (dpeaa)DE-He213 Unfitted meshes (dpeaa)DE-He213 Splitting schemes (dpeaa)DE-He213
topic	misc Fluid-structure interaction misc Unfitted meshes misc Splitting schemes
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title	Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction
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title_full	Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction
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author_browse	Burman, Erik Fernández, Miguel A. Gerosa, Fannie M.
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title_sort	convergence analysis of an unfitted mesh semi-implicit coupling scheme for incompressible fluid-structure interaction
title_auth	Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction
abstract	Abstract The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme. © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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 The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme. © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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 The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the strongly coupled scheme. © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 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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title_short	Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction
url	https://dx.doi.org/10.1007/s10013-022-00589-w
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author2	Fernández, Miguel A. Gerosa, Fannie M.
author2Str	Fernández, Miguel A. Gerosa, Fannie M.
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doi_str	10.1007/s10013-022-00589-w
up_date	2024-07-03T22:58:10.206Z
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Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction

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