摘要
利用分析数学的压缩映射原理,对矿井通风网络非稳定流动数学模型进行了分析,得出了数学模型数值解收敛的条件,确定了以惯性系数排序选择最小生成树的回路选择方案,为矿井通风网络非稳定流动数学模型数值解的收敛性提供了理论依据.
Based on contraction mapping theorem of analysis mathematics, the non-steady flow mathematical model of mine ventilation network was analyzed. The convergent condition of numerical solution to the mathematical model was obtained, and the selection scheme of circuit according to inertial coefficient searching the least spanning tree was put forward. Theoretical basis on the numerical solution convergence of the non-steady flow mathematical model is provided.
出处
《中国矿业大学学报》
EI
CAS
CSCD
北大核心
2004年第3期295-297,共3页
Journal of China University of Mining & Technology
基金
国家自然科学基金项目(50204010)
国家杰出青年基金项目(59925411)
关键词
矿井通风网络
教学模型
数值解
收敛性
mine ventilation network
non-steady flow
convergence
contraction mapping theorem