An efficient solver for the fully-coupled solution of large-displacement fluid-structure interaction problems

By Matthias Heil. 2004

389 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0e7473221bf3e915644ce94ea5bcd8557b93339c

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In Computational Mechanics

In Computational Theory and Mathematics

In Numerical Analysis

Citations in the corpus

Solvers for large-displacement fluid–structure interaction problems: segregated versus monolithic approaches (2008, methodology): “[7], this version of the Navier–Stokes preconditioner incorporates additional scaling operations which result in a signifi-”
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.”
Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect (2008, methodology): “Quasi-Newton algorithms have been suggested in [16, 20, 17 ].”
Stability of a coupling technique for partitioned solvers in FSI applications (2008, neutral): “In the monolithic approach, both the flow and structure problem are solved with a single code [7–11].”
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].”
Fluid-structure interactions using different mesh motion techniques (2011, methodology): “Because the development of iterative linear solvers is difficult for fully coupled problems (however, suggestions have been made [16,17]), and we are only interested in solving problems for a low amount of unknowns, we use a direct solver to solve the linear systems.”
Truly monolithic algebraic multigrid for fluid–structure interaction (2011, methodology): “In [18] the linear system (22) is a 2×2 system with fluid and structural blocks.”
A projection semi‐implicit scheme for the coupling of an elastic structure with an incompressible fluid (2007, methodology): “Inexact Newton methods are addressed in [33, 35, 47, 31] by using finite difference approximations of the Jacobian, in [47, 48, 25, 26, 31] by replacing the coupled tangent operator by a simpler linear operator and, applied to complex geometries in [27].”