非稳态导热的混合微分差分法求解研究  

Hybrid Differential/Finite Difference Method for Unsteady State Heat Conduction Problems

作　　者：胡亚才[1] 穆弗达赫[1] 李彬轩[1] 冯踏青[1] 屠传经[1] 

机构地区：[1]浙江大学

出　　处：《应用力学学报》1998年第1期100-104,共5页Chinese Journal of Applied Mechanics

摘　　要：介绍了作者提出的微分差分法（ＤＤＭ）求解非稳态温度场的原理及方法。ＤＤＭ法具有计算精度高，非步进式计算的优点。若线性系统的解分稳、瞬态两部分，与理论解结构相似。解可表达为空间网格点的时间函数。数值矩阵特征值与实际系统的特征值有强的对应关系。是一种适用于系统分析的数值计算方法。The article puts forward a new method differential/finite difference method (DDM) for calculating unsteady state heat conduction. The derivation process and analysis are presented. DDM can achieve good accuracy of calculation and is beyond the limitation of step calculation. The result from it similar to theoretical solution is composed of two parts, representing steady state and transient respectively. The compound then is a function of temperature for each node. It is indicated that the character values of matrix correspond right to the character values of the practical system. So DDM is a more suitable numerical method.

关 键 词：混合微分差分法 非稳态导热 非稳态温度场 

分 类 号：TK12[动力工程及工程热物理—工程热物理]