A fictitious domain/mortar element method for fluid-structure interaction

By F. Baaijens. 2001

345 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d58b0524f600dc876bc1cacec5cfb6068160ba2d

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In Computational Mechanics

Citations in the corpus

The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements (2016, methodology): “In contrast to Lagrange multiplier methods [8, 29, 54, 70], the symmetric Nitsche formulation is free of auxiliary fields, which simplifies the theory and reduces computational cost.”
An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves (2014, methodology): “This is in contrast to the findings of Baaijens [61], who observed excessive pollution effects in the velocity field when discretizing the pressure about an immersed beam with a continuous approximation space.”
An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction (2008, methodology): “The DLM/ FD methods have since been extended to simulate thin, deformable structural surfaces [1,11,40] as well as to flexible and fully fledged structures [47].”
The p-Version of the Finite Element and Finite Cell Methods (2017, methodology): “Most applications of immersed boundary methods can be found in computational fluid dynamics, for example, Baaijens (2001), Löhner et al.”
Review of coupling methods for non-matching meshes (2007, background): “Only recently the coupling of two different physical domains, such as flow and structure, is investigated [17,18], but at this moment the flow is mainly modeled as an harmonic oscillator and the coupling of a real flow and structure solver is still an open issue.”
Comparison of various fluid-structure interaction methods for deformable bodies (2007, methodology): “The approach consisted of the fictitious domain method similar to that of Baaijens, but extended with an ALE step and a local adaptive meshing algorithm for the fluid mesh [17].”
The hp‐d‐adaptive finite cell method for geometrically nonlinear problems of solid mechanics (2012, methodology): “The fictitious domain approach has been widely used in conjunction with penalty methods [9, 10, 11], the mortar approach [12], Lagrange multipliers [8, 13, 14, 15], Nitsche’s method [16], extended finite elements [17, 18, 19, 20], discontinuous Galerkin [21] and spectral methods [22, 23] to address ”
A projection semi‐implicit scheme for the coupling of an elastic structure with an incompressible fluid (2007, methodology): “Examples of such an approach are too numerous to be reviewed extensively: for instance, we can cite recent works using an Arbitrary Lagrangian Euler formulation [45, 31], a fictitious domain method [8, 1] or transpiration interface boundary conditions [23].”
Eulerian solid-fluid coupling (2016, methodology): “Other methods have further investigated Eulerian fluid discretizations and used sophisticated geometric operations [RobinsonMosher et al. 2008; Robinson-Mosher et al. 2009] as well as overlapping grids [Baaijens 2001] to couple the grid velocities to a Lagrangian solid.”