Computational modeling of hemodynamic impulses propagation

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.