Spectral element modeling and analysis of the blood flow through a human blood vessel

As the blood flow characteristics are closely related to various cardiovascular diseases, it is very important to predict them accurate enough in an efficient way. Thus, this paper proposes a one-dimensional spectral element model for human blood vessels with varying cross-sections. The spectral element model is formulated by using the variational approach of finite element formulation, The wave solutions analytically solved in the frequency-domain to satisfy governing equations are used to determine the frequency-dependent interpolation functions. The spectral finite element model is then applied to all example blood vessel to investigate the blood flow rate and blood pressure through the blood vessel.