Using the immersed boundary method to model complex fluids-structureinteraction in sperm motility

Robert H. Dillon; Jingxuan Zhuo

doi:10.3934/dcdsb.2011.15.343

Article Contents

2011, Volume 15, Issue 2: 343-355. Doi: 10.3934/dcdsb.2011.15.343

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Using the immersed boundary method to model complex fluids-structure interaction in sperm motility

Robert H. Dillon^1, and
Jingxuan Zhuo^1,

1.
Department of Mathematics, Washington State University, Pullman, WA 99164

Received: October 31, 2009

Revised: December 31, 2009

Published: August 2011

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Abstract

We describe work on the development of immersed boundary methods for sperm motility in complex fluids. This includes an Oldroyd-B formulation and a Lagrangian mesh method. We also describe the development of an immersed boundary rheometer for the studying the properties of viscoelastic fluids. We present preliminary simulation results for the Oldroyd-B and Lagrangian mesh rheometers and compare sperm motility in Newtonian, Oldroyd-B and Lagrangian mesh fluids using an existing immersed boundary model for sperm motility.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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