MAC类方法计算方腔内自然对流

计算物理 ›› 1988, Vol. 5 ›› Issue (1): 53-68.

MAC类方法计算方腔内自然对流

沈建雄

中国科学院计算中心

收稿日期:1987-07-06 出版日期:1988-03-25 发布日期:1988-03-25

NUMERICAL SOLUTION OF NATURAL CONVECTION IN AN ENCLOSED SQUARE CAVITY WITH MAC-TYPE METHODS

Shen Jian-Xiong

Computing Center, Academia Sinica

Received:1987-07-06 Online:1988-03-25 Published:1988-03-25

摘要/Abstract

摘要： 本文总结了用MAC类方法计算二维方腔内自然对流传热的经验.改进了MAC方法的边界处理并提高其精度。用Leapfrog Dufoft-Frankel格式代替MAC方法中的FTCS格式,来放宽稳定性限制。给出高Raylei吵数10⁶的数值管果和比较。讨论了初始温度分布对不定常过程的影响,不定常过程的流动特性符合理论结论。最后还讨论了流出边界处理。

Abstract: In this paper, the experience of calculating natural convection in an cncloscd square cavity is summarized. Numerical boundary conditions of the MAC method are simplified and the accuracy improved. The FTCS scheme of the MAC method can be replaced by leapfrog and Dufort-Frankel scheme to relax the stability limit on the time step. Numerical results for Rayleigh number 10⁶ are given and compared with bench mark results.The influence of different initial temperatures for unsteady flow is discussed. The results of mteady flow are in agreement with theory. Finally, treatment of outflow boundary is discussed.

沈建雄. MAC类方法计算方腔内自然对流[J]. 计算物理, 1988, 5(1): 53-68.

Shen Jian-Xiong. NUMERICAL SOLUTION OF NATURAL CONVECTION IN AN ENCLOSED SQUARE CAVITY WITH MAC-TYPE METHODS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 5(1): 53-68.