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Special Section: Computational Fluid Mechanics and Fluid–Structure Interaction

A Monolithic Approach Based on the Balancing Domain Decomposition Method for Acoustic Fluid-Structure Interaction

[+] Author and Article Information
S. Minami, H. Kawai, S. Yoshimura

Department of Quantum Engineering and Systems Science,  The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, JapanDepartment of Systems Innovation,  The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan

J. Appl. Mech. 79(1), 010906 (Dec 13, 2011) (8 pages) doi:10.1115/1.4005092 History: Received January 19, 2011; Accepted September 12, 2011; Published December 13, 2011; Online December 13, 2011

A scalable and efficient monolithic approach based on the Balancing Domain Decomposition (BDD) method for acoustic fluid-structure interaction problems is developed. The BDD method is a well-known domain decomposition method for non-overlapping sub-domains, which consists of Neumann-Neumann (NN) preconditioning and coarse grid correction. In this study, we derive four types of BDD method, considering two options for NN preconditioning (NN-I and NN-C) and two options for coarse grid correction (CGC-FULL and CGC-DIAG). From the results of numerical experiments, the combination of NN-I and CGC-FULL turns out to be the most efficient scheme, showing fast convergence property irrespective of the number of sub-domains, DOFs of fluid and solid domains, and the added-mass effect of fluid. The combination of NN-I and CGC-DIAG is also expected to be an efficient scheme in some situations in a parallel environment.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Image of domain decomposition

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Figure 2

Example of the analysis domain and image of domain unit in NN-I preconditioning

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Figure 3

Image of domain unit in NN-C preconditioning

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Figure 4

Image of 2D simple wall model

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Figure 5

Average iteration counts of BDD-type methods

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Figure 6

Average computational time of BDD-type methods

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Figure 7

Average iteration counts versus the number of sub-domains

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Figure 8

Deformation of rod bundles at t = 0.86 (s) (left) and pressure contour of fluid domain at t = 0.35 (s) (right)

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Figure 9

Mesh and domain decomposition for solid (left) and fluid (right)

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Figure 10

Convergence history at the first time step

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