对流-扩散方程若干AGE格式及其稳定性

Several Alternatively Grouping Explicit Schemes for Convection Diffusion Equation and Their Stability

以求解对流－扩散方程的中心差分格式、显式逆风格式、Ｓａｍａｒｓｋｉ格式和修正Ｄｅｎｎｉｓ格式为基础，构造了若干新的交替分组显式格式，并证明它们是无条件稳定的．数值结果表明，除了基于中心差分格式的ＡＧＥ格式与ＡＤＥ格式外，其他的各种ＡＧＥ格式与相应的ＡＤＥ格式的精度相当．

For solving convection diffusion equation, several new alternatively grouping explicit(AGE) schemes are constructed on the basis of central difference scheme, explicit upwind scheme. Samarskii and revised Dennis scheme. It is proved that they are unconditionally stable. As shown by numerical results, besides AGE scheme based on central difference scheme and alternatively difference explicit scheme, the rest of AGE schemes and relevant ADE schemes are well matched in accuracy. They are also effective to higher Reynolds numbers.