Mathematical modelling of hemodynamics of large blood vessels

E. V. Astrakhantseva ; V. Yu. Gidaspov ; D. L. Reviznikov

Matematičeskoe modelirovanie, Tome 17 (2005) no. 8, pp. 61-80.

Résumé

A brief overview of mathematical models of contemporary applied hemodynamics is given. The special attention is paid to questions of development of effective computational algorithms implementing one-dimensional model. For this purpose TVD-monotonized schemes having the second order accuracy both in time and space are used. A number of test problems with analytical solutions are proposed. Questions of convergence and a choice of grid parameters for various schemes are investigated. The approaches using multiscale hemodynamics models are considered. An embedding of one-dimensional model of a single vessel into 0-dimensional model of vascular system is implemented. The possibility of using linear model for considered class problems of hemodynamics is analyzed.

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