Fluid-structure interaction involving large deformations: 3D simulations and applications to biological systems

  • Authors:

  • Fang-Bao Tian;Hu Dai;Haoxiang Luo;James F. Doyle;Bernard Rousseau

  • Affiliations:

  • Department of Mechanical Engineering, Vanderbilt University, 2301 Vanderbilt Pl., Nashville, TN 37235-1592, USA;Department of Mechanical Engineering, Vanderbilt University, 2301 Vanderbilt Pl., Nashville, TN 37235-1592, USA;Department of Mechanical Engineering, Vanderbilt University, 2301 Vanderbilt Pl., Nashville, TN 37235-1592, USA;School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907-2045, USA;Departments of Otolaryngology and Hearing and Speech Sciences, Vanderbilt University Medical Center, 1313 21st Ave. S., Nashville, TN 37232-4480, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2014

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Abstract

Three-dimensional fluid-structure interaction (FSI) involving large deformations of flexible bodies is common in biological systems, but accurate and efficient numerical approaches for modeling such systems are still scarce. In this work, we report a successful case of combining an existing immersed-boundary flow solver with a nonlinear finite-element solid-mechanics solver specifically for three-dimensional FSI simulations. This method represents a significant enhancement from the similar methods that are previously available. Based on the Cartesian grid, the viscous incompressible flow solver can handle boundaries of large displacements with simple mesh generation. The solid-mechanics solver has separate subroutines for analyzing general three-dimensional bodies and thin-walled structures composed of frames, membranes, and plates. Both geometric nonlinearity associated with large displacements and material nonlinearity associated with large strains are incorporated in the solver. The FSI is achieved through a strong coupling and partitioned approach. We perform several validation cases, and the results may be used to expand the currently limited database of FSI benchmark study. Finally, we demonstrate the versatility of the present method by applying it to the aerodynamics of elastic wings of insects and the flow-induced vocal fold vibration.