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F. Credali¹, N. Alshehri¹, D. Boffi^1,2 and L. Gastaldi³

¹CEMSE Division, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia
²Dipartimento di Matematica F. Casorati, Università degli Studi di Pavia, Italy
³Dipartimento di Ingegneria Civile, Architettura, Territorio, Ambiente e di Matematica (DICATAM), Università degli Studi di Brescia, Italy

F. Credali, N. Alshehri, D. Boffi, L. Gastaldi, "Mass Conservation for FSI Problems in Fictitious Domain Approach", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 8.3, 2025,

Keywords: fluid-structure interactions, interface problems, fictitious domain method, Lagrange multiplier, unfitted finite elements, mass conservation.

Abstract

We consider the finite element discretization of a fictitious domain formulation for fluid-structure interaction problems where a distributed Lagrange multiplier is associated with the kinematic constraint. Fluid and solid equations are solved on independent meshes and a coupling term takes care of their interaction. In this work we discuss the mass conservation properties of several combinations of finite element spaces through some significant numerical tests.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 8.3 Mass Conservation for FSI Problems in Fictitious Domain Approach F. Credali¹, N. Alshehri¹, D. Boffi^1,2 and L. Gastaldi³ ¹CEMSE Division, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia ²Dipartimento di Matematica F. Casorati, Università degli Studi di Pavia, Italy ³Dipartimento di Ingegneria Civile, Architettura, Territorio, Ambiente e di Matematica (DICATAM), Università degli Studi di Brescia, Italy Full Bibliographic Reference for this paper F. Credali, N. Alshehri, D. Boffi, L. Gastaldi, "Mass Conservation for FSI Problems in Fictitious Domain Approach", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 8.3, 2025, Keywords: fluid-structure interactions, interface problems, fictitious domain method, Lagrange multiplier, unfitted finite elements, mass conservation. Abstract We consider the finite element discretization of a fictitious domain formulation for fluid-structure interaction problems where a distributed Lagrange multiplier is associated with the kinematic constraint. Fluid and solid equations are solved on independent meshes and a coupling term takes care of their interaction. In this work we discuss the mass conservation properties of several combinations of finite element spaces through some significant numerical tests. download the full-text of this paper (PDF, 1721 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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