Geodesic
Computational modeling of hemodynamic impulses propagation
Matematičeskoe modelirovanie, Tome 21 (2009) no. 12, pp. 21-34

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The computational modeling of the pressure and velocity impulses propagation in a blood vessel is presented in linear approximation. Numerical solution of the linear set of hemodynamic equations is formed as superposition of progressing waves (Riemann's invariants) satisfying transport equations. In this connection, design of composite difference scheme for transport equation is emphasized in this article. The examples of calculation are presented for transport equation and linear hemodynamic equations set. The proposed algorithm can be generalized to quasi-linear system case. 
@article{MM_2009_21_12_a1,
     author = {A. P. Favorskiy and M. A. Tygliyan and N. N. Tyurina and N. N. Galanina and V. A. Isakov},
     title = {Computational modeling of hemodynamic impulses propagation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {21--34},
     publisher = {mathdoc},
     volume = {21},
     number = {12},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_12_a1/}
}
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A. P. Favorskiy; M. A. Tygliyan; N. N. Tyurina; N. N. Galanina; V. A. Isakov. Computational modeling of hemodynamic impulses propagation. Matematičeskoe modelirovanie, Tome 21 (2009) no. 12, pp. 21-34. http://geodesic.mathdoc.fr/item/MM_2009_21_12_a1/