Fixed-point fluid–structure interaction solvers with dynamic relaxation

By Ulrich Küttler, Wolfgang A. Wall. 2008

771 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c9e3684ae889bdf6bcd6dfe83755d97a9f22ffac

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In Computational Mechanics

In Numerical Analysis

Citations in the corpus

A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping (2012, methodology): “introduced Aitken acceleration to FSI with a dynamic relaxation factor for enhanced robustness and stability [21,22].”
A monolithic Lagrangian approach for fluid–structure interaction problems (2010, background): “The coupling is achieved usually by applying fixed point iterations at the fluid–structure interface eventually accelerated to improve their convergence behavior [1].”
Partitioned solver for strongly coupled fluid–structure interaction (2013, methodology): “The dynamic relaxation parameter ai+1,j+1 is evaluated in every iteration j by using the Aitken D(2) method given by Irons and Tuck [29] and revisited recently by Kuttler and Wall [20].”
Effects of flexibility on the aerodynamic performance of flapping wings (2011, methodology): “In the current study, in order to accelerate and ensure the convergence of the FSI the Aitken relaxation method (Küttler & Wall 2008) has been incorporated.”
Performance of partitioned procedures in fluid-structure interaction (2010, methodology): “Steepest descent relaxation [30] is similar to Aitken relaxation, but it is not studied in this paper as it exhibits stepwise or zig-zag convergence which is typical for steepest descent methods and well understood [50].”
Truly monolithic algebraic multigrid for fluid–structure interaction (2011, methodology): “[14], or a vector extrapolation scheme, see [15].”