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A coupled immersed boundary‐lattice Boltzmann method with smoothed point interpolation method for fluid‐structure interaction problems
Authors:Shuangqiang Wang  Yunan Cai  Guiyong Zhang  Xiaobo Quan  Jianhua Lu  Sheng Li
Affiliation:1. Liaoning Engineering Laboratory for Deep‐Sea Floating Structures, School of Naval Architecture, Dalian University of Technology, Dalian, China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, China;3. Collaborative Innovation Center for Advanced Ship and Deep‐Sea Exploration, Shanghai, China;4. Beijing Institute of Astronautical Systems Engineering, Beijing, China
Abstract:The immersed boundary‐lattice Boltzmann method has been verified to be an effective tool for fluid‐structure interaction simulation associated with thin and flexible bodies. The newly developed smoothed point interpolation method (S‐PIM) can handle the largely deformable solids owing to its softened model stiffness and insensitivity to mesh distortion. In this work, a novel coupled method has been proposed by combining the immersed boundary‐lattice Boltzmann method with the S‐PIM for fluid‐structure interaction problems with large‐displacement solids. The proposed method preserves the simplicity of the lattice Boltzmann method for fluid solvers, utilizes the S‐PIM to establish the realistic constitutive laws for nonlinear solids, and avoids mesh regeneration based on the frame of the immersed boundary method. Both two‐ and three‐dimensional numerical examples have been carried out to validate the accuracy, convergence, and stability of the proposed method in consideration of comparative results with referenced solutions.
Keywords:constitutive laws  fluid‐structure interaction (FSI)  immersed boundary method  largely deformable solids  lattice Boltzmann method  smoothed point interpolation method
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