Immersed finite element method for fluid-structure interactions

In this paper, we present a detailed derivation of the numerical method, Immersed Finite Element Method (IFEM), for the solution of fluid-structure interaction problems. This method is developed based on the Immersed Boundary (IB) method that was initiated by Peskin, with additional capabilities in...

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Bibliographic Details
Published in:Journal of fluids and structures 2007-08, Vol.23 (6), p.839-857
Main Authors: Zhang, L.T., Gay, M.
Format: Article
Language:English
Subjects:
Algorithms
Computational fluid dynamics
Exact sciences and technology
Fluid dynamics
Fluid flow
Fluid-structure interaction
Fluid-structure interactions
Fluids
Fundamental areas of phenomenology (including applications)
General theory
Immersed boundary method
Immersed finite element method
Mathematical analysis
Mathematical models
Numerical analysis
Physics
Reproducing kernel particle method
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:In this paper, we present a detailed derivation of the numerical method, Immersed Finite Element Method (IFEM), for the solution of fluid-structure interaction problems. This method is developed based on the Immersed Boundary (IB) method that was initiated by Peskin, with additional capabilities in handling nonuniform and independent meshes and applying arbitrary boundary conditions on both fluid and solid domains. A higher order interpolation function is adopted from one of the mesh-free methods, the Reproducing Kernel Particle Method (RKPM), which relieves the uniformity constraint of fluid meshes. Two 2-D example problems are presented to illustrate the capabilities of the algorithm. The accuracy in the numerical analysis demonstrates that the IFEM algorithm is a reliable and robust numerical approach to solve fluid and deformable solid interactions.
ISSN:0889-9746
1095-8622
DOI:10.1016/j.jfluidstructs.2007.01.001