Partitioned solution algorithms for fluid–structure interaction problems with hyperelastic models

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In this work, we consider fluid–structure interaction simulation with nonlinear hyperelastic models in the solid part. We use a partitioned approach to deal with the coupled nonlinear fluid–structure interaction problems. We focus on handling the nonlinearity of the fluid and structure sub-problems using (adaptive) Newton’s method, the near-incompressibility of materials, the stabilization of employed finite element discretization, and the robustness and efficiency of Krylov subspace and algebraic multigrid methods for the linearized algebraic equations.

论文关键词:65N30,65N55,74F10,Fluid–structure interaction,Hyperelastic models,Stabilized finite element discretization,(adaptive) Newton’s method,Krylov subspace method,Algebraic multigrid method

论文评审过程:Received 22 December 2013, Revised 20 May 2014, Available online 20 August 2014.

论文官网地址:https://doi.org/10.1016/j.cam.2014.08.007