N-S方程中非稳态项对SIMPLER程序收敛性的影响

山东大学学报(工学版) ›› 2009, Vol. 39 ›› Issue (6): 139-142.

N-S方程中非稳态项对SIMPLER程序收敛性的影响

刘洋史月涛刘杰高明赵元宾孙奉仲

刘洋:山东诚信工程建设监理有限公司, 山东济南 250100；史月涛高明赵元宾孙奉仲: 山东大学能源与动力工程学院, 山东济南 250061;刘杰: 山东电力工程咨询院有限公司, 山东济南 250100

收稿日期:2008-11-18 出版日期:2009-12-16 发布日期:2009-12-16
作者简介:刘洋(1978-),男,山东济南人,工程师,硕士,研究方向为热力设备节能及可靠性.E-mail:liuy9510@126.com

Influence of unsteady term in the N-S equation on convergence of the SIMPLER algorithm

Received:2008-11-18 Online:2009-12-16 Published:2009-12-16

摘要/Abstract

摘要：

当对流项采用高阶格式或高阶组合格式离散时,对于某些问题,如二维顶盖驱动流动和后台阶流动在雷诺数较高时,程序很难收敛.实施SIMPLER算法,考虑非稳态项对程序收敛性的影响,对二维顶盖驱动流动和后台阶流动的计算表明,在高雷诺数时,稳态计算程序不能收敛时,通过引入非稳态项可以大大促进程序的收敛.

关键词: N-S方程;非稳态项;收敛性

Abstract:

For some cases, such as 2-D　lid-driven cavity flow and backward-facing step flow, it is difficult to converge, when some high-order schemes are adopted. The influences of the unsteady term on convergence of the SIMPLER algorithm were discussed. In conclusion, the algorithm with a steady term could not converge with the high Re number, and the convergence could be greatly improved by adopting the unsteady term.

Key words: the N-S equation; unsteady term; convergence

刘洋史月涛刘杰高明赵元宾孙奉仲. N-S方程中非稳态项对SIMPLER程序收敛性的影响[J]. 山东大学学报(工学版), 2009, 39(6): 139-142.

LIU Xiang, SHI Ru-Chao, LIU Jie, GAO Meng, DIAO Yuan-Bin, SUN Feng-Zhong. Influence of unsteady term in the N-S equation on convergence of the SIMPLER algorithm[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(6): 139-142.

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