摘要
针对现有血流模拟中采用的流体动力学模型计算量大且实时性差的问题,采用不可压缩稳态非牛顿流体模型对血液流动现象进行仿真,提出一种改进的血流模拟数值计算方法.首先根据血液流变性质、仿真的实时性与细节性的要求,选取合适的血流动力学模型;然后根据所选取的动力学模型,对现有的离散方法进行一定的改进,使得离散后方程的计算量符合仿真的实时性要求;最终计算出粒子的运动信息.实验证明,算法能够有效地降低血流数值计算的复杂度,提高血流绘制的效率.
Aiming at the complexity of the calculations and poor real time properties in hydrodynamic models of current hemodynamic numerical simulation, an incompressible steady non Newtonian fluid model is used to simulate the blood flow and an improved method of hemodynamic numerical simulation is proposed. Firstly, according to the requirements of the blood rheology, the real-time and the details of the simulation, the appropriate hemodynamic model is selected. Secondly, according to the dynamic model, the existing discrete method is improved and the new method makes the calculation of the discrete equation to meet the real-time requirements of the simulation. Thirdly, the motion information of particle motion is calculated at last. Experimental results show that the proposed method reduces the complexity of hemodynamic numerical simulation and improves the efficiency of blood flow.
出处
《数学的实践与认识》
北大核心
2016年第16期179-185,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(61471124)
福建省自然科学基金(2016J01293)
福建省中青年教师教育科研项目(JA15574)
