An unfitted mesh semi‐implicit coupling scheme for fluid‐structure interaction with immersed solids
Summary Unfitted mesh finite element approximations of immersed incompressible fluid‐structure interaction problems which efficiently avoid strong coupling without compromising stability and accuracy are rare in the literature. Moreover, most of the existing approaches introduce additional unknowns...
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| Veröffentlicht in: | International journal for numerical methods in engineering 2021-10, Vol.122 (19), p.5384-5408 |
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| container_issue | 19 |
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| container_title | International journal for numerical methods in engineering |
| container_volume | 122 |
| creator | Fernández, Miguel A. Gerosa, Fannie M. |
| description | Summary
Unfitted mesh finite element approximations of immersed incompressible fluid‐structure interaction problems which efficiently avoid strong coupling without compromising stability and accuracy are rare in the literature. Moreover, most of the existing approaches introduce additional unknowns or are limited by penalty terms which yield ill‐conditioning issues. In this paper, we introduce a new unfitted mesh semi‐implicit coupling scheme which avoids these issues. To this purpose, we provide a consistent generalization of the projection based semi‐implicit coupling paradigm of (Int. J. Num. Meth. Engg., 69(4):794‐821, 2007) to the unfitted mesh Nitsche‐extended‐FEM framework. |
| doi_str_mv | 10.1002/nme.6449 |
| format | Article |
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Unfitted mesh finite element approximations of immersed incompressible fluid‐structure interaction problems which efficiently avoid strong coupling without compromising stability and accuracy are rare in the literature. Moreover, most of the existing approaches introduce additional unknowns or are limited by penalty terms which yield ill‐conditioning issues. In this paper, we introduce a new unfitted mesh semi‐implicit coupling scheme which avoids these issues. To this purpose, we provide a consistent generalization of the projection based semi‐implicit coupling paradigm of (Int. J. Num. Meth. Engg., 69(4):794‐821, 2007) to the unfitted mesh Nitsche‐extended‐FEM framework.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.6449</identifier><language>eng</language><publisher>Hoboken, USA: John Wiley & Sons, Inc</publisher><subject>Coupling ; Fluid flow ; fluid‐structure interaction ; Incompressible flow ; Incompressible fluids ; Mathematics ; Nitsche‐XFEM ; Numerical Analysis ; projection method ; semi‐implicit coupling scheme ; unfitted meshes</subject><ispartof>International journal for numerical methods in engineering, 2021-10, Vol.122 (19), p.5384-5408</ispartof><rights>2020 John Wiley & Sons, Ltd.</rights><rights>2021 John Wiley & Sons, Ltd.</rights><rights>Attribution</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3619-e97f4893554ee3c0164432b41cf9e599ad8a9cb5df5fa0c422d0ad935f29c6f03</citedby><cites>FETCH-LOGICAL-c3619-e97f4893554ee3c0164432b41cf9e599ad8a9cb5df5fa0c422d0ad935f29c6f03</cites><orcidid>0000-0003-4694-9118</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnme.6449$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.6449$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,314,776,780,881,1411,27901,27902,45550,45551</link.rule.ids><backlink>$$Uhttps://inria.hal.science/hal-02288723$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Fernández, Miguel A.</creatorcontrib><creatorcontrib>Gerosa, Fannie M.</creatorcontrib><title>An unfitted mesh semi‐implicit coupling scheme for fluid‐structure interaction with immersed solids</title><title>International journal for numerical methods in engineering</title><description>Summary
Unfitted mesh finite element approximations of immersed incompressible fluid‐structure interaction problems which efficiently avoid strong coupling without compromising stability and accuracy are rare in the literature. Moreover, most of the existing approaches introduce additional unknowns or are limited by penalty terms which yield ill‐conditioning issues. In this paper, we introduce a new unfitted mesh semi‐implicit coupling scheme which avoids these issues. To this purpose, we provide a consistent generalization of the projection based semi‐implicit coupling paradigm of (Int. J. Num. Meth. Engg., 69(4):794‐821, 2007) to the unfitted mesh Nitsche‐extended‐FEM framework.</description><subject>Coupling</subject><subject>Fluid flow</subject><subject>fluid‐structure interaction</subject><subject>Incompressible flow</subject><subject>Incompressible fluids</subject><subject>Mathematics</subject><subject>Nitsche‐XFEM</subject><subject>Numerical Analysis</subject><subject>projection method</subject><subject>semi‐implicit coupling scheme</subject><subject>unfitted meshes</subject><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp10MtKAzEUBuAgCtYq-AgBN7qYmmSuWZZSrVB1o-uQZk46KXOpScbSnY_gM_okpo64c5WQfPyc8yN0ScmEEsJu2wYmWZLwIzSihOcRYSQ_RqPwxaOUF_QUnTm3IYTSlMQjtJ62uG-18R5K3ICrsIPGfH18mmZbG2U8Vl0fbu0aO1VBA1h3Fuu6N2VAztte-d4CNq0HK5U3XYt3xlfYNA1YF0JdV5vSnaMTLWsHF7_nGL3ezV9mi2j5fP8wmy4jFWeUR8BznRQ8TtMEIFaEhlVitkqo0hxSzmVZSK5WaalTLYlKGCuJLIPXjKtMk3iMbobcStZia00j7V500ojFdCkOb4SxoshZ_E6DvRrs1nZvPTgvNl1v2zCeYGmeccZIxoK6HpSynXMW9F8sJeJQuQiVi0PlgUYD3Zka9v868fQ4__HfwVeE-Q</recordid><startdate>20211015</startdate><enddate>20211015</enddate><creator>Fernández, Miguel A.</creator><creator>Gerosa, Fannie M.</creator><general>John Wiley & Sons, Inc</general><general>Wiley Subscription Services, Inc</general><general>Wiley</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0003-4694-9118</orcidid></search><sort><creationdate>20211015</creationdate><title>An unfitted mesh semi‐implicit coupling scheme for fluid‐structure interaction with immersed solids</title><author>Fernández, Miguel A. ; Gerosa, Fannie M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3619-e97f4893554ee3c0164432b41cf9e599ad8a9cb5df5fa0c422d0ad935f29c6f03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Coupling</topic><topic>Fluid flow</topic><topic>fluid‐structure interaction</topic><topic>Incompressible flow</topic><topic>Incompressible fluids</topic><topic>Mathematics</topic><topic>Nitsche‐XFEM</topic><topic>Numerical Analysis</topic><topic>projection method</topic><topic>semi‐implicit coupling scheme</topic><topic>unfitted meshes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fernández, Miguel A.</creatorcontrib><creatorcontrib>Gerosa, Fannie M.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>International journal for numerical methods in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fernández, Miguel A.</au><au>Gerosa, Fannie M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An unfitted mesh semi‐implicit coupling scheme for fluid‐structure interaction with immersed solids</atitle><jtitle>International journal for numerical methods in engineering</jtitle><date>2021-10-15</date><risdate>2021</risdate><volume>122</volume><issue>19</issue><spage>5384</spage><epage>5408</epage><pages>5384-5408</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><abstract>Summary
Unfitted mesh finite element approximations of immersed incompressible fluid‐structure interaction problems which efficiently avoid strong coupling without compromising stability and accuracy are rare in the literature. Moreover, most of the existing approaches introduce additional unknowns or are limited by penalty terms which yield ill‐conditioning issues. In this paper, we introduce a new unfitted mesh semi‐implicit coupling scheme which avoids these issues. To this purpose, we provide a consistent generalization of the projection based semi‐implicit coupling paradigm of (Int. J. Num. Meth. Engg., 69(4):794‐821, 2007) to the unfitted mesh Nitsche‐extended‐FEM framework.</abstract><cop>Hoboken, USA</cop><pub>John Wiley & Sons, Inc</pub><doi>10.1002/nme.6449</doi><tpages>25</tpages><orcidid>https://orcid.org/0000-0003-4694-9118</orcidid><oa>free_for_read</oa></addata></record> |
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| ispartof | International journal for numerical methods in engineering, 2021-10, Vol.122 (19), p.5384-5408 |
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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Coupling Fluid flow fluid‐structure interaction Incompressible flow Incompressible fluids Mathematics Nitsche‐XFEM Numerical Analysis projection method semi‐implicit coupling scheme unfitted meshes |
| title | An unfitted mesh semi‐implicit coupling scheme for fluid‐structure interaction with immersed solids |
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