【摘要】 提出了两种迎风变换函数．利用这种变换函数将一维对流扩散方程进行变换，得到等价的扩散方程．然后使用有限元（ＦＥＭ）求解等价的扩散方程，得到对流扩散方程的数值解．计算成果表明，用这种方法计算．可突破网格Ｐｅ≤２的界限，可求得较大和更大的Ｐｅ数情况下的数值解．解的精度和收敛性是令人满意的．更多还原

【Abstract】 Two analytical transformative functions arc proposed in this paper. 1-D convective diffusion equation is transformed into diffusion equation by these transformative functions. And the numerical solution of the convective diffusion equation is obtained from the diffusion equation by FEM. It is shown that the application of this caculating method to the convective diffusion equation can break through the limits of Pe≤2 and can obtain numerical solutions with great and greater Pe number. The solution’s accuracy and convergence are satisfactory.更多还原