A Fully Coupled Immersed Finite Element Method for Fluid Structure Interaction via the Deal.II Library

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dc.contributor.areaMathematicsen_US
dc.contributor.authorHeltai, Luca
dc.contributor.authorRoy, Saswati
dc.contributor.authorCostanzo, Francesco
dc.contributor.departmentFunctional Analysis and Applicationsen_US
dc.date.accessioned2012-09-28T12:42:46Z
dc.date.available2012-09-28T12:42:46Z
dc.date.issued2012-09-13
dc.description28 pages, 9 figuresen_US
dc.description.abstractWe present the implementation of a solution scheme for fluid-structure interaction problems via the finite element software library deal.II. The solution scheme is an immersed finite element method in which two independent discretizations are used for the fluid and immersed deformable body. In this type of formulation the support of the equations of motion of the fluid is extended to cover the union of the solid and fluid domains. The equations of motion over the extended solution domain govern the flow of a fluid under the action of a body force field. This body force field informs the fluid of the presence of the immersed solid. The velocity field of the immersed solid is the restriction over the immersed domain of the velocity field in the extended equations of motion. The focus of this paper is to show how the determination of the motion of the immersed domain is carried out in practice. We show that our implementation is general, that is, it is not dependent on a specific choice of the finite element spaces over the immersed solid and the extended fluid domains. We present some preliminary results concerning the accuracy of the proposed method.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/6255
dc.language.isoenen_US
dc.miur.area1en_US
dc.publisherSISSAen_US
dc.relation.ispartofseriesarXiv:1209.2811;
dc.subject.keywordFinite Element Method; Immersed Boundary Method; Immersed Finite Element Methoden_US
dc.subject.miurMAT/08 ANALISI NUMERICA
dc.titleA Fully Coupled Immersed Finite Element Method for Fluid Structure Interaction via the Deal.II Libraryen_US
dc.typePreprinten_US
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