A Parallel Immersed Boundary Method for Blood-like Suspension Flow Simulations

Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 74)


This paper presents a numerically efficient implementation of the Immersed Boundary Method (IBM), originally developed by [7] to simulate fluid/elastic-structure interactions. The fluid is assumed to be incompressib0le with uniform density, viscosity, while the immersed boundaries have fixed topologies with a linear elastic behavior. Based on the finite-difference method, a major numerical advantage of the IBM is the high level of uniformity of mesh and stencil, avoiding the critical interpolation processes of the cut-cell/direct methods. The difficulty of accurately simulating interaction phenomena involving moving complex geometries can be overcome by implementing large and parallel IBMcomputations on fine grids, as described in [1]. While this paper is restricted to a two-dimensional low-Reynolds-number flow, most of the concepts introduced here should apply to three-dimensional bio-flows.We describe here the decomposition techniques applied to the IBM, in order to decrease the computational time, in the context of the parallel Matlab toolbox of [3]. Finally, we apply the method to a blood-like suspension flow test-case.


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  1. 1.
    M. Garbey and F. Pacull. A Versatile incompressible Navier-Stokes solver for blood flow application. International Journal for Numerical Methods in Fluids, 54(5):473–496, 2007.MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    M. Garbey and D. Tromeur-Dervout. Aitken-Schwarz method on Cartesian grids. In N. Debit, M. Garbey, R. Hoppe, J. Périaux, and D. Keyes, editors, Proc. Int. Conf. on Domain Decomposition Methods DD13, pages 53–65. CIMNE, 2002.Google Scholar
  3. 3.
    J. Kepner and S. Ahalt. MatlabMPI. Journal of parallel and distributed computing, 64(8):997–1005, 2004.MATHCrossRefGoogle Scholar
  4. 4.
    J. Mohd-Yusof. Combined immersed boundaries/b-splines methods for simulations of flows in complex geometries. Ctr annual research briefs, Stanford University, NASA Ames, 1997.Google Scholar
  5. 5.
    F. Pacull. A Numerical Study of the Immersed Boundary Method. Ph.D. Dissertation, University of Houston, 2006.Google Scholar
  6. 6.
    F. Pacull and M. Garbey. A numerically efficient scheme for elastic immersed boundaries. In (to appear) Proc. Int. Conf. on Domain Decomposition Methods DD18, 2008.Google Scholar
  7. 7.
    C. S. Peskin. The Immersed boundary method. Acta Numerica, 11:479–517, 2002.MATHCrossRefMathSciNetGoogle Scholar
  8. 8.
    W. Shyy, M. Francois, H.-S. Udaykumar, N. N’dri, and R. Tran-Son-Tay. Moving boundaries in micro-scale biofluid dynamics. Applied Mechanics Reviews, 54(5):405–454, September 2001.CrossRefGoogle Scholar

Copyright information

© Springer Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.FluoremEcullyFrance
  2. 2.Department of Computer ScienceUniversity of HoustonHoustonUSA

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