摘要
流体力学中,由于所建立的控制方程一般是非线性的,很难用解析法或数值法求解.Navier-Stokes方程是流体力学中一类很重要的数学物理方程,要得到它的解析解甚至是数值解都很困难.推导了三维Navier-Stokes方程的有限元公式,并用ANSYS8.0软件对动脉血管中血液流动进行了数值模拟分析.
Because of the control equations in fluid mechanics are mostly non-linear, it is difficult to solve problems with analytical method and numerical method. Navier-Stokes equation is one of the most important mathematical physics equations in fluid mechanics. It is very difficult to obtain analytic solution and nu- merical solution. This paper mainly deducts finite element formulas of three-dimensional Navier-Stokes equation, which has an extensive application in simulating viscous incompressible fluid, and simulates blood flow in the system of artery with the software ANSYS8.0 based on the finite element method.
出处
《重庆工学院学报》
2007年第13期60-65,共6页
Journal of Chongqing Institute of Technology
基金
重庆市自然科学基金资助项目(渝科发计字[2002]16号)
