Effectiveness of a Numerical Analysis for Pulse Wave Propagation by Cellular Automaton(Fluids Engineering)

Abstract

We have investigated the properties of the numerical method for a one-dimensional lattice model (Sakanishi model), which is associated with the material nonlinearity of the arterial vessel wall, in order to analyze the pulse wave propagation by the numerical method which keeps the physical properties intrinsically possessed by the system. As the numerical method for the analysis, we have focused on Cellular Automaton (CA) scheme which is derived from the integrable difference scheme by means of the ultra discrete limit. We have compared the CA scheme with the integrable difference scheme and the general-purpose methods such as Euler method and Leapfrog method on the efficiency of the calculation. The properties of the CA scheme for the Sakanishi model are shown. Especially, it is presented that the CA scheme can maintain a certain accuracy for the long time behavior of the pulse wave. Moreover, we find that the peaking and steepening can be observed by the CA scheme.