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An unfitted mesh semi‐implicit coupling scheme for fluid‐structure interaction with immersed solids
Author(s) -
Fernández Miguel A.,
Gerosa Fannie M.
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6449
Subject(s) - finite element method , fluid–structure interaction , coupling (piping) , generalization , projection (relational algebra) , computer science , stability (learning theory) , compressibility , scheme (mathematics) , loose coupling , mathematics , mathematical optimization , algorithm , topology (electrical circuits) , engineering , structural engineering , mathematical analysis , physics , mechanics , mechanical engineering , machine learning , combinatorics , programming language
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.