摘要
发汗控制是热防护的一种重要手段。本文给出发汗控制方程显式差分格式,也研究该问题的隐式差分格式。对这个问题的固定边界和活动边界情形分别讨论两种差分格式的数值稳定性,并得到相应的稳定性准则。理论分析和数值试验表明隐式格式可以根据需要的计算精度选取时间步长τ,并且数值试验还表明隐式格式能节省更多的CPU时间,因为时间步长τ可以放大。
Transpiration control is an important means of thermal protection. Methods of explicit difference for transpiration control problems are given, and methods of implicit difference for the problems are also presented. The stability of this two kinds of difference schemes in transpiration control equations with fixed boundary-value and moving boundary-value conditions is discussed,and the criteria of stability are obtained. respectively. Theoretical analysis and numerical experimentshow that the conditions of stability of implicit schemes are much more relaxed than those of explicit schemes, namely, the time step T of implicit schemes can be selected from the computing accuracy required, and numerical experiment also show that implicit schems can be save much more
出处
《系统工程与电子技术》
EI
CSCD
1996年第4期20-33,共14页
Systems Engineering and Electronics
基金
国家自然科学基金