Performance evaluation of the balancing domain decomposition method whose coarse grid is defined using local coordinate systems

2016 ◽  
Vol 2016.29 (0) ◽  
pp. 056
Author(s):  
Tomoshi Miyamura
Keyword(s):  
Performance Evaluation ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Coarse Grid ◽  
Coordinate Systems ◽  
Balancing Domain Decomposition

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

2011 ◽  
Vol 79 (1) ◽  
Author(s):  
S. Minami ◽  
H. Kawai ◽  
S. Yoshimura
Keyword(s):  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Coarse Grid ◽  
Structure Interaction ◽  
Coarse Grid Correction ◽  
Efficient Scheme ◽  
Balancing Domain Decomposition ◽  
Monolithic Approach ◽  
Acoustic Fluid

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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