瞬态温度场的解及其振荡

SOLUTIONS AND THEIR OSCILLATIONS IN DETERMINING OF TRANSIENT TEMPERATURE FIELD

本文在子空间内求解瞬态温度场，有效地避免了产生违背传热规律的解及其振荡。产生解的振荡的根本原因是传统的全空间解法，而不是时间差分格式。当热源为非减函数（升温过程）或非增函数（降温过程）时，在新算法中所用的时间步长可不受限制。

In the paper transient temperature field is determined in the real subspace. The methodeffectively avoids producing of solutions, which go against the heat transfer law, and theiroscillations. The solution oscillations result from the algorithm in the traditional global realspace instead of the time finite difference scheme. It is proved that when a heat sourse is notdecreasing function in respect of time (for a temperature rise procedure) or not increasingfunction (for a temperature drop procedure), the time step size used in the new algorithmhas nothing to do with solution oscillations.