Volume 12, Issue 2
The Immersed Boundary Method for Two-Dimensional Foam with Topological Changes

Yongsam Kim, Yunchang Seol, Ming-Chih Lai & Charles S. Peskin

Commun. Comput. Phys., 12 (2012), pp. 479-493.

Published online: 2012-12

Preview Purchase PDF 100 812
Export citation
  • Abstract

The immersed boundary method has been extensively used to simulate the motion of elasticstructures immersed ina viscous fluid. For some applications, suchas modeling biological materials, capturing internal boundary viscosity is important. We present numerical methods for simulating Kelvin-Voigt and standard linear viscoelastic structures immersed in zero Reynolds number flow. We find that the explicit time immersed boundary update is unconditionally unstable above a critical boundary to fluid viscosity ratio for a Kelvin-Voigt material. We also show there is a severe time step restriction when simulating a standard linear boundary with a small relaxation time scale using the same explicit update. A stable implicit method is presented to overcome these computation challenges. 

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
Copy to clipboard
The citation has been copied to your clipboard