Application of TVD-Schemes for Solving Hemodynamics Equations

Mechanics


Аuthors

Astrakhantseva E. V., Gidaspov V. Y.*, Reviznikov D. L.**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: gidaspov@mai.ru
**e-mail: reviznikov@inbox.ru

Abstract

Problems of mathematical modeling of blood flow in large vessels are considered. A second order spatial and time discretization SSP-TVD-scheme is implemented for the hemodynamics problem. A number of test problems with analytical solutions are proposed. In particular, a solution for Riemann problem is given. Various features of boundary conditions implementation for the system of hemodynamics equations are discussed. Questions of convergence and a choice of grid parameters for various schemes are investigated.


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