Viscoelastic Immersed Boundary Methods for Zero Reynolds Number Flow

Viscoelastic Immersed Boundary Methods for Zero Reynolds Number Flow

Year:    2012

Communications in Computational Physics, Vol. 12 (2012), Iss. 2 : pp. 462–478

Abstract

The immersed boundary method has been extensively used to simulate the motion of elastic structures immersed in a viscous fluid. For some applications, such as 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.050211.090811s

Communications in Computational Physics, Vol. 12 (2012), Iss. 2 : pp. 462–478

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

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