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Wind and Structures
  Volume 22, Number 3, March 2016 , pages 349-368
DOI: https://doi.org/10.12989/was.2016.22.3.349
 


Preconditioning technique for a simultaneous solution to wind-membrane interaction
Fang-jin Sun and Ming Gu

 
Abstract
    A preconditioning technique is presented for a simultaneous solution to wind-membrane interaction. In the simultaneous equations, a linear elastic model was employed to deal with the fluid-structure data transfer at the interface. A Lagrange multiplier was introduced to impose the specified boundary conditions at the interface and strongly coupled simultaneous equations are derived after space and time discretization. An initial linear elastic model preconditioner and modified one were derived by treating the linearized elastic model equation as a saddle point problem, respectively. Accordingly, initial and modified fluid-structure interaction (FSI) preconditioner for the simultaneous equations were derived based on the initial and modified linear elastic model preconditioners, respectively. Wind-membrane interaction analysis by the proposed preconditioners, for two and three dimensional membranous structures respectively, was performed. Comparison was made between the performance of initial and modified preconditioners by comparing parameters such as iteration numbers, relative residuals and convergence in FSI computation. The results show that the proposed preconditioning technique greatly improves calculation accuracy and efficiency. The priority of the modified FSI preconditioner is verified. The proposed preconditioning technique provides an efficient solution procedure and paves the way for practical application of simultaneous solution for wind-structure interaction computation.
 
Key Words
    membrane structures; wind loading; fluid-structure interaction; simultaneous solution; preconditioning technique
 
Address
Fang-jin Sun:College of Civil Engineering and Architecture, Liaoning Technical University, Fuxin, Liaoning,123000, China;
State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
Ming Gu: State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University,
Shanghai 200092, China

 

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