Geodesic
Mathematical modelling of hemodynamics of large blood vessels
Matematičeskoe modelirovanie, Tome 17 (2005) no. 8, pp. 61-80

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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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     title = {Mathematical modelling of hemodynamics of large blood vessels},
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E. V. Astrakhantseva; V. Yu. Gidaspov; D. L. Reviznikov. Mathematical modelling of hemodynamics of large blood vessels. Matematičeskoe modelirovanie, Tome 17 (2005) no. 8, pp. 61-80. http://geodesic.mathdoc.fr/item/MM_2005_17_8_a5/