血管壁の材料非線形性を考慮した一次元格子モデルの数値解析(流体工学,流体機械)

概要

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The properties of the numerical methods for a one-dimensional lattice model (Sakanishi model), which is associated with the material nonlinearity of the arterial vessel wall, have been investigated in order to analyze the blood flow by the numerical method which keeps the physical properties intrinsically possessed by the system. As the numerical methods for the analysis, we have focused on the integrable difference scheme and the symplectic scheme, and compared those two schemes with the general-purpose methods such as Euler method, Leapfrog method and Runge-Kutta method on the accuracy and the efficiency of the calculation. The properties of each numerical method for the Sakanishi model are shown. Especially, it is presented that the integrable difference scheme and the symplectic scheme can maintain a certain accuracy for the long time behavior of the pressure wave. Moreover, we find that the peaking and steepening can be caused by the material nonlinearity of the arterial vessel wall alone.
社団法人日本機械学会の論文
2008-03-25