A Four-Step Fractional Finite Element Method for Fluid-Structure Interaction

WANG Hua-kun; HONG Guo-jun; YANG Wen-yu; YU Guo-liang

doi:10.3879/j.issn.1000-0887.2013.07.005

Volume 34 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2013 > 34(7): 704-713

WANG Hua-kun, HONG Guo-jun, YANG Wen-yu, YU Guo-liang. A Four-Step Fractional Finite Element Method for Fluid-Structure Interaction[J]. Applied Mathematics and Mechanics, 2013, 34(7): 704-713. doi: 10.3879/j.issn.1000-0887.2013.07.005

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A Four-Step Fractional Finite Element Method for Fluid-Structure Interaction

doi: 10.3879/j.issn.1000-0887.2013.07.005

¹School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R.China;²Shanghai Waterway Engineering Design and Consulting Co Ltd, Shanghai 200120, P.R.China

Received Date: 2013-03-27
Rev Recd Date: 2013-05-28
Publish Date: 2013-07-15

Abstract

Abstract

A loosely-coupled algorithm for fluid-structure interaction based on arbitrary Lagrangian Eulerian(ALE) finite element method was proposed. The semi-implicit four-step fractional finite element method was extended to solve Navier-Stokes equations of ALE description, where the streamline upwind/Petrov-Galerkin (SUPG) stabilization term was added to the momentum equation to eliminate numerical oscillations of the velocity field. The temporal integration of the equation of motion for the structure was done with a Newmark-βalgorithm while the mesh updating was performed based on the modified Laplace equation solved by a standard Galerkin FEM. The entire deformation was imposed at each time step in order to avoid deterioration in mesh quality with long-term and large amplitude oscillations or deformations. The proposed method was applied to the numerical simulations on flow-induced vibrations of an elastically mounted circular cylinder with one and two degrees of freedom. Numerical results show good agreement with the existing solutions and suggest that the present method is competitive in terms of accuracy and efficiency.
- ALE finite element method,
- fluid-structure interaction,
- semi-implicit four-step fraction,
- modified Laplace equation,
- mesh updating

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References(15)

References

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