Interval analysis of transient temperature field with uncertain-but-bounded parameters  

作　　者：WANG Chong QIU ZhiPing 

机构地区：[1]Institute of Solid Mechanics, Beihang University

出　　处：《Science China(Physics,Mechanics & Astronomy)》2014年第10期1959-1966,共8页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Special Fund for Major Research Instrument Development(Grant No.2011YQ140145);111 Project(Grant No.B07009);National Natural Science Foundation of China(Grant No.11002013);Defense Industrial Technology Development Program(Grant Nos.A2120110001 and B2120110011)

摘　　要：Based on the traditional finite volume method, a new numerical technique is presented for the transient temperature field prediction with interval uncertainties in both the physical parameters and initial/boundary conditions. New stability theory applicable to interval discrete schemes is developed. Interval ranges of the uncertain temperature field can be approximately yielded by two kinds of parameter perturbation methods. Different order Neumann series are adopted to approximate the interval matrix inverse. By comparing the results with traditional Monte Carlo simulation, a numerical example is given to demonstrate the feasibility and effectiveness of the proposed model and methods.Based on the traditional finite volume method, a new numerical technique is presented for the transient temperature field prediction with interval uncertainties in both the physical parameters and initial/boundary conditions. New stability theory applicable to interval discrete schemes is developed. Interval ranges of the uncertain temperature field can be approximately yielded by two kinds of parameter perturbation methods. Different order Neumann series are adopted to approximate the interval matrix inverse. By comparing the results with traditional Monte Carlo simulation, a numerical example is given to demonstrate the feasibility and effectiveness of the proposed model and methods.

关 键 词：finite volume method temperature field prediction interval uncertainties stability theory parameter perturbationmethod 

分 类 号：O551.3[理学—热学与物质分子运动论] O159[理学—物理]