基于Schwarz-Christoffel变换的非圆截面血管流场分布研究
摘要
(With the Schwarz-Christoffel transformation method, a conformal mapping from a unit circle to a polygonal domain in the complex plane was obtained. Based on the mapping combined with the Womersley algorithm theory for fully developed pulsating flow in a circular pipe, a Womersley velocity boundary model with a non-circular inlet section was established. For this boundary model, the computational fluid dynamics (CFD) method was used to simulate the blood flow in the human pulmonary artery secondary branch based on physiological reality in a cardiac cycle, and the results were compared with those obtained from the connected circular tube method. The analysis of examples indicates that, the simulation results of the 2 methods are highly consistent, but in the aspects of simulation efficiency and certainty, the Womersley velocity boundary model based on the S-C mapping is better than the connected circular tube method, and has more practical significance for the simulation of vascular hemodynamics.