BALANCE-CHARACTERISTIC METHOD FOR CALCULATING HEMODYNAMICS OF A SINGLE VESSEL

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Abstract

The paper is devoted to the construction of a numerical algorithm for calculating the blood flow in a volume vessel. The derivation of the system of differential equations describing the dynamics of fluid in a single vessel with moving walls in cylindrical coordinates assuming axial symmetry in arbitrary eulerianlagrangian variables is given. Balance-characteristic scheme based on the CABARET methodology is constructed for the obtained system of equations. The results of calculations of test problems are given.

About the authors

V. M. Goloviznin

Lomonosov Moscow State University; Moscow Center of Fundamental and Applied Mathematics

Email: gol@ibrae.ac.ru
Russia; Russia

V. V. Konoplianikov

Lomonosov Moscow State University

Email: vaskonopl@mail.ru
Russia

P. A. Maiorov

Lomonosov Moscow State University; Moscow Center of Fundamental and Applied Mathematics

Email: maiorov.peter@gmail.com
Russia; Russia

S. I. Mukhin

Lomonosov Moscow State University; Moscow Center of Fundamental and Applied Mathematics

Email: vmmus@cs.msu.ru
Russia; Russia

References

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  20. Dobroserdova, T., Olshanskii, M., and Simakov S., Multiscale coupling of compliant and rigid walls blood flow models, Int. J. Numer. Methods in Fluids, 2016, vol. 82, no. 12, pp. 799–817.
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