摘要
针对四面体单元在三维几何域的网格剖分中单元数过大,导致计算中过多占用机时与内存的问题,建立了六面体单元上的控制体有限元方法,采用散度定理将对结点所建立在控制体上的体积分转化为在相应控制面上的面积分,使之对对流项变量可采用迎风插值格式.通过算例表明,在受计算机内存及速度的限制下,该方法可作为三维流动与传热问题数值模拟的一种有效方法.
Because the number of tetrahedral elements in three dimensional field division is too great and will need too much computer memory and run time,the control volume finite element method based on parallelepiped elements is presented.In this method,the number of elements is much smaller and the number of points is equal to that in using tetrahedral elements.The divergence theorem can be used to translate the volume integral into the surface integral corresponding to the same control volume of grid points so that the upwind interpolated scheme for convection variables can be used.Through three test problems,it is proved that this method is valid for numerical simulation of three dimensional fluid flow and heat transfer under the limit of computer memory and run speed.
出处
《计算物理》
CSCD
北大核心
2003年第2期178-182,共5页
Chinese Journal of Computational Physics
关键词
六面体单元
控制体
有限元方法
三维问题
parallelepiped element
control volume
finite element method
three dimensional fluid flow
