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Non-FSI 3D Hemodynamic Simulations in Time-Dependent Domains

In: Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells

Author

Listed:
  • Y. V. Vassilevski

    (Marchuk Institute of Numerical Mathematics RAS
    Sechenov University)

  • O. N. Bogdanov

    (Sechenov University)

  • X. V. Chesnokova

    (Sechenov University)

  • A. A. Danilov

    (Marchuk Institute of Numerical Mathematics RAS
    Sechenov University)

  • T. K. Dobroserdova

    (Marchuk Institute of Numerical Mathematics RAS)

  • D. D. Dobrovolsky

    (Sechenov University)

  • A. V. Lozovskiy

    (Marchuk Institute of Numerical Mathematics RAS)

Abstract

Blood flows interact inevitably with surrounding elastic tissues. The most general approach to hemodynamic simulations is the solution of fluid–structure interaction (FSI) problems. The numerical solution of 3D FSI problems is computationally expensive and time-consuming, and requires usage of parallel computers. In addition, FSI simulations are hard to personalize since elastic properties of vessels cannot be retrieved in vivo with appropriate accuracy. We address two medical applications which allow us to simulate 3D blood flows with less computational cost than the numerical solution of the 3D FSI problems. The first application is simulation of 3D blood flow in the left ventricle of a patient based on dynamic ceCT medical images. The second application is simulation of 3D blood flow in the aortic bifurcation. We consider mathematical formulations of the models and present numerical results.

Suggested Citation

  • Y. V. Vassilevski & O. N. Bogdanov & X. V. Chesnokova & A. A. Danilov & T. K. Dobroserdova & D. D. Dobrovolsky & A. V. Lozovskiy, 2021. "Non-FSI 3D Hemodynamic Simulations in Time-Dependent Domains," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells, pages 261-269, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-73241-7_16
    DOI: 10.1007/978-3-030-73241-7_16
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