一维非稳态导热问题收敛性傅里叶分析  

Fourier Analysis on Convergence of the One-Dimensional Unsteady-State Heat Conduction Problem

作　　者：陈海宏[1] 

机构地区：[1]中国石油大学(北京),北京102249

出　　处：《河南科学》2016年第2期187-194,共8页Henan Science

基　　金：国家青年科学基金项目(51504270)

摘　　要：针对一维非稳态导热问题,利用傅里叶分析法分析计算误差的收敛过程.首先对离散后的计算区域,用有限差分法建立了关于温度变量的离散方程.然后通过连续傅里叶变换,建立了关于误差的复数形式傅里叶级数,并分析了导热离散方程的稳定性.最后,通过选取不同的初始温度场和傅里叶网格数,验证了导热离散方程的稳定性.For one-dimensional unsteady-state heat conduction problem,this paper studied the convergence processof calculation error by Fourier analysis. First,the paper divided the computational field and established discreteequation about temperature variable by finite difference method. Second,this paper established plural form of Fourier series on error by continuous Fourier transforming,and analyzed the stability of the thermal discrete equation.Last,this paper verified the stability condition of the discrete equation by selecting different initial temperature fieldand the number of Fourier grids.

关 键 词：非稳态 导热 收敛 傅里叶 

分 类 号：TK123[动力工程及工程热物理—工程热物理]