A monolithic approach to fluid–structure interaction using space–time finite elements

By B. Hübner, E. Walhorn, D. Dinkler. 2004

486 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/9973f0a4720e2d7d37c89ad3e913a9fa04923066

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In Computational Mechanics

In Control and Systems Engineering

Citations in the corpus

Solution techniques for the fully discretized equations in computation of fluid–structure interactions with the space–time formulations (2006, background): “As examples of the papers published in recent years on FSI and related and supporting topics, see [1–11].”
Truly monolithic algebraic multigrid for fluid–structure interaction (2011, methodology): “Furthermore, direct factorization solvers are employed in [19] in the preconditioner (44)–(46).”
Fixed-point fluid–structure interaction solvers with dynamic relaxation (2008, background): “There are, of course, monolithic solvers that treat the nonlinear coupled problem in one go [2,18,19,36], however these approaches require access to the field solver internals and cannot be pursued with black box solvers.”
Analysis of emerging technologies in the hydropower sector (2019, background): “In contrast to aeroelasticity, where loose coupling schemes of different solvers are common, hydroelastic systems require strongly (iteratively) coupled solution procedures [88] or even monolithic formulations [89] in which the coupled system is assembled and solved in a single set of equations.”
Unified fluid–structure interpolation and mesh motion using radial basis functions (2008, methodology): “considering the coupled problem of aeroelasticity, two approaches have emerged, one using a tailored aero-structural solver [1, 2] (the monolithic approach) and the other favouring the coupling of existing structural and fluid solvers [3–10] (the partitioned approach).”
A monolithic Lagrangian approach for fluid–structure interaction problems (2010, background): “The case including an elastic obstacle as proposed in [34] as well as the case without an obstacle are analyzed.”
Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “The monolithic approach (Hubner et al. 2004, Michler et al. 2004, Ryzhakov et al. 2010) treats the fluid and structure dynamics in the same mathematical framework to form a single system equation for the entire problem, which is solved simultaneously by a unified algorithm.”