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High Performance Computing in Science and Engineering ‘13 pp 53–64Cite as

Simplified Models for Coarse-Grained Hemodynamics Simulations

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Abstract

Human blood can be approximated as a dense suspension of red blood cells in plasma. Here, we present two models we recently developed to investigate blood flow on different scales: in the first part of the paper we concentrate on describing individual cells or model systems such as vesicles with high resolution in order to understand the underlying fundamental properties of bulk hemodynamics. Here, we combine a lattice Boltzmann solver for the plasma with an immersed boundary algorithm to describe the cell or vesicle membranes. This method allows a detailed study of individual particles in complex hydrodynamic situations. Further, this model can be used to provide parameters for a more coarse-grained approach: in that second approach we simplify much further than existing particulate models. We find the essential ingredients for a minimalist description that still recovers hemorheology. These ingredients include again a lattice Boltzmann method describing hydrodynamic long range interactions mediated by the plasma between cells. The cells themselves are simplified as rigid ellipsoidal particles, where we describe the more complex short-range behavior by anisotropic model potentials. Recent results on the behaviour of single viscous red blood cells and vesicles in confined flow situations are shown alongside with results from the validation of our simplified model involving thousands or even millions of cells.

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Acknowledgements

We thank the Scientific Supercomputing Center Karlsruhe for providing the computing time and technical support for the presented work.

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Authors and Affiliations

  1. Department of Applied Physics, Eindhoven University of Technology, Den Dolech 2, 5600MB, Eindhoven, The Netherlands

    J. Harting, F. Janoschek, B. Kaoui & F. Toschi

  2. Institute for Computational Physics, University of Stuttgart, Allmandring 3, 70569, Stuttgart, Germany

    J. Harting & F. Janoschek

  3. Centre for Computational Science, University College London, 20 Gordon Street, London, WC1H 0AJ, UK

    T. Krüger

  4. CNR-IAC, Via dei Taurini 19, 00185, Rome, Italy

    F. Toschi

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  1. J. Harting
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  4. T. Krüger
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  5. F. Toschi
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Correspondence to J. Harting .

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Editors and Affiliations

  1. Zentrum für Informationsdienste und Hochleistungsrechnen (ZIH), Technische Universität Dresden, Dresden, Germany

    Wolfgang E. Nagel

  2. Abteilung für Angewandte Mathematik, Universität Freiburg, Freiburg, Germany

    Dietmar H. Kröner

  3. Höchstleistungsrechenzentrum Stuttgart (HLRS), Universität Stuttgart, Stuttgart, Germany

    Michael M. Resch

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Harting, J., Janoschek, F., Kaoui, B., Krüger, T., Toschi, F. (2013). Simplified Models for Coarse-Grained Hemodynamics Simulations. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘13. Springer, Cham. https://doi.org/10.1007/978-3-319-02165-2_4

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