【摘要】 本文提出了一种简单而有效的数值求解一维对流-扩散型方程的欧拉-拉格朗H(E.-L.)分裂格式。无论对于线性对流-扩散方程和非线性Burgers方程,或者是对流占优或非对流占优,它都能给出较好的结果。文中给出了四个典型而又较困难的计算例子,与精确解的比较表明,数值结果是相当令人满意的。更多还原

【Abstract】 A simple and efficient Eulerian-Lagrangian splitting scheme for solving one-dimensional diffusion-convection equation numerically has been presented in this paper. This method can deal with the linear and nonlinear diffusion-convection equation very well, even for Pe(Re)>>1. Four typical and difficult calculating examples have been presented in order to check our method. The agreement between the numerical results and the exact solutions are quite satisfactory.更多还原