Abstract A new numerical technique named interval finite difference method is proposed for the steady-state temperature field prediction with uncertainties in both physical parameters and boundary conditions. Interval variables are used to quantitatively describe the uncertain parameters with limited information. Based on different Taylor and Neumann series, two kinds of parameter perturbation methods are presented to approximately yield the ranges of the uncertain temperature field. By comparing the results with traditional Monte Carlo simulation, a numerical example is given to demonstrate the feasibility and effectiveness of the proposed method for solving steady-state heat conduction problem with uncertain-but-bounded parameters.
Received: 09 July 2013
Published: 2014-03-20 00:00:00.0
Fund:The project was supported by the National Special Fund for Major Research Instrument Development (2011YQ140145), 111 Project (B07009), the National Natural Science Foundation of China (11002013), and Defense Industrial Technology Development Program (A2120110001 and B2120110011).
Cite this article:
Chong Wang,Zhi-Ping Qiu. Interval finite difference method for steady-state temperature field prediction with interval parameters[J]. Acta Mechanica Sinica, 2014, 30(2): 161-166.