摘要
以一维定常对流扩散方程的高精度差分格式为基础，提出了一种构造二维定常对流扩散方程高精度紧致差分格式的新方法，并给出数值例子。
On the steady convection diffusion equation,a new method is developed for construction of high order compact finite difference scheme.First,the two dimensional equation are transformed into the two equations,which are similar to the form of one dimensional equation,and are subsequently discretized by utilizing compact difference formula proposed for the one dimensional equation in .Then,a compact difference scheme that is O(h 4+h 2k 2+k 4) on the nine point 2 D stencil for the steady convection diffusion equation is established.Finally,numerical example is given to illustrate the present method.
出处
《计算物理》
CSCD
北大核心
1997年第4期611-613,共3页
Chinese Journal of Computational Physics
关键词
对流扩散方程
高精度
紧致差分格式
定常
convection diffusion equation
high order accuracy
compact scheme
steady state.
