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Computational modeling of the propagation of acoustic pulses in hemodynamics

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Abstract

The present paper deals with the numerical simulation of the propagation of pulses of blood pressure and velocity in a blood vessel. The numerical solution of the system of linear hemodynamic equations is formed as a superposition of progressing waves (Riemann invariants) satisfying the transport equations. Considerable attention is paid to the construction of a difference scheme for the linear and quasilinear transport equations. Examples of computations are presented. The suggested algorithm can be generalized to the case of a quasilinear system of equations.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    A. P. Favorskii, M. A. Tygliyan, N. N. Tyurina, A. M. Galanina & V. A. Isakov

  2. Lomonosov Moscow State University, Moscow, Russia

    A. P. Favorskii, M. A. Tygliyan, N. N. Tyurina, A. M. Galanina & V. A. Isakov

Authors
  1. A. P. Favorskii
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  2. M. A. Tygliyan
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  3. N. N. Tyurina
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  4. A. M. Galanina
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  5. V. A. Isakov
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Dedicated to the ninetieth birthday of Aleksandr Andreevich Samaraskii

Original Russian Text © A.P. Favorskii, M.A. Tygliyan, N.N. Tyurina, A.M. Galanina, V.A. Isakov, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 8, pp. 1179–1187.

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Favorskii, A.P., Tygliyan, M.A., Tyurina, N.N. et al. Computational modeling of the propagation of acoustic pulses in hemodynamics. Diff Equat 45, 1203–1211 (2009). https://doi.org/10.1134/S0012266109080114

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  • DOI: https://doi.org/10.1134/S0012266109080114

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