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发汗控制方程差分解法的并行化
引用本文:薛晓青,刘德贵,宋晓秋.发汗控制方程差分解法的并行化[J].系统工程与电子技术,1996(9).
作者姓名:薛晓青  刘德贵  宋晓秋
作者单位:航天工业总公司二院二○四所!100854
基金项目:国家自然科学基金资助课题
摘    要:本文给出固定边界发汗控制方程显式与隐式差分解法的并行化方法.数值试验表明隐式差分格式的数值稳定性的条件比显式差分格式的条件要宽松得多,这与理论分析的结果是一致的;数值试验还表明显式方法的加速比及效率均高于隐式方法,但隐式方法的时间步长可以放大,从整体上更节省CPU时间.本文给出固定边界发汗控制方程显式与隐式差分解法的并行化方法.数值试验表明隐式差分格式的数值稳定性的条件比显式差分格式的条件要宽松得多,这与理论分析的结果是一致的;数值试验还表明显式方法的加速比及效率均高于隐式方法,但隐式方法的时间步长可以放大,从整体上更节省CPU时间.

关 键 词:发汗控制  差分方程  ~  分段LU分解法  发汗冷却

Parallelism of Difference Methods for Transpiration Control Problems
Xue Xiaoqing,Liu Degui and Song XiaoqiuBeijing Institute of Computer Application and Simulation Technology.Parallelism of Difference Methods for Transpiration Control Problems[J].System Engineering and Electronics,1996(9).
Authors:Xue Xiaoqing  Liu Degui and Song XiaoqiuBeijing Institute of Computer Application and Simulation Technology
Institution:Xue Xiaoqing,Liu Degui and Song XiaoqiuBeijing Institute of Computer Application and Simulation Technology,100854
Abstract:In this paper, parallel methods of explicit and implicit schemes for transpiration control problems with fixed boundary are given. Numerical experiments show that the conditions of stability of implicit schemes are much more relaxed than those of explicit schemes, which is in accordance with the theoretical analysis. Numerical experiments also show that the speedup and efficiency of the explicit method are higher than those of implicit method, while implicit schemes can save much more CPU time for its time step can be enlarged.
Keywords:Transpiration control  Difference method  Sectioned LU factorization method  
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