Title
A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid-structure interaction
Abstract
A new three-dimensional (3D) matrix-free implicit unstructured multigrid finite volume (FV) solver for structural dynamics is presented in this paper. The solver is first validated using classical 2D and 3D cantilever problems. It is shown that very accurate predictions of the fundamental natural frequencies of the problems can be obtained by the solver with fast convergence rates. This method has been integrated into our existing FV compressible solver [X. Lv, Y. Zhao, et al., An efficient parallel/unstructured-multigrid preconditioned implicit method for simulating 3d unsteady compressible flows with moving objects, Journal of Computational Physics 215(2) (2006) 661-690] based on the immersed membrane method (IMM) [X. Lv, Y. Zhao, et al., as mentioned above]. Results for the interaction between the fluid and an immersed fixed-free cantilever are also presented to demonstrate the potential of this integrated fluid-structure interaction approach.
Year
DOI
Venue
2007
10.1016/j.jcp.2006.11.023
J. Comput. Physics
Keywords
Field
DocType
fluid–structure interaction,vertex-based finite volume method,unstructured-multigrid preconditioned implicit method,dual time stepping,unstructured multigrid,cantilever problem,existing fv compressible solver,computational physics,membrane method,unstructured multigrid finite volume,accurate prediction,y. zhao,unsteady compressible flow,computational solid mechanics,integrated fluid-structure interaction approach,structural dynamic,fixed-free cantilever,three dimensional,compressible flow,natural frequency,finite volume method,convergence rate,finite volume,structural dynamics
Compressibility,Mathematical optimization,Mathematical analysis,Fluid dynamics,Rate of convergence,Solver,Compressible flow,Finite volume method,Mathematics,Multigrid method,Fluid–structure interaction
Journal
Volume
Issue
ISSN
225
1
Journal of Computational Physics
Citations 
PageRank 
References 
2
0.42
1
Authors
5
Name
Order
Citations
PageRank
X. Lv171.26
Y. Zhao271.26
X. Y. Huang371.26
G. H. Xia471.26
X. H. Su520.42