摘要
为了开发高精度和高效数值方法求解圆形化工管道内的流动问题,采用谱投影算法求解Navier-Stokes方程。谱投影算法是将非稳态Navier-Stokes方程的时间离散过程采用具有二阶精度的投影方法,并采用配置点谱方法求解投影方法解耦后的方程。配置点谱方法不仅具有高精度并且容易克服圆柱坐标系的奇点问题。采用文献中具有精确解的算例进行了验证计算,就初始条件和节点数对计算精度的影响进行了分析和比较。结果表明谱投影方法在求解圆柱管道内的流动具有高的精度和效率。
In order to develop a high-accuracy and high-efficiency numerical method for the solution of the flow in cylindrical chem ical pipe, a spectral projection method for the solution of Navier-Stokes equations has been presented. The spectral projection method refers to that a second order projection method is chosen to temporally discretize the Navie^Stokes equations, and the col- location spectral method is adopted to solve these un-decoupled equations which are decoupled by the projection method. The col- location spectral method is featured by high accuracy and is easy to overcome the pole problem in cylindrical coordinates system. An exact solution case is emplyed to validate this spectral projection method, and the effects ot the initial conditions and the reso- lutions on the accuracy are comparatively investigated. The results showed that high accuracy and efficiency can be achieved by this spectral projection method.
出处
《中国科技论文》
CAS
北大核心
2013年第12期1228-1230,1257,共4页
China Sciencepaper
基金
国家自然科学基金资助项目(51176026)
国家高水平大学公派研究生项目(2011608037)
