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.
A Monolithic Approach Based on the Balancing Domain Decomposition Method for Acoustic Fluid-Structure Interaction
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Minami, S., Kawai, H., and Yoshimura, S. (December 13, 2011). "A Monolithic Approach Based on the Balancing Domain Decomposition Method for Acoustic Fluid-Structure Interaction." ASME. J. Appl. Mech. January 2012; 79(1): 010906. https://doi.org/10.1115/1.4005092
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