非稳定温度场中的边界元素法

BEM in Analyzing Non-Static Thermoconduct of Multidimension

本文以计算非稳定温度场中的热传导问题为例,对用边界元素法求解非稳定问题的数值解作了多方面的探讨。本文直接从严格的数学推导中导出了抛物线方程的积分解,以处理由于非稳定所带入的特殊问题,诸如:时间、时间增量,域内积分等为纲,导出了五种离散模式,并用计算实列验证了这些解法的可行性。这五种解法各有千秋。解法三和解法五是作者的一种新设想。

Taking the calculation of thermal conduction in non-static temperature field as example, the author approached the numerical solution of non-static problem by BEM variously and strictly deductive the integral solution of parabola equation so as to deal with some special non-static problem. Five kinds of discrete patterns are given out, laying emphasis on time, time increment and the integral in domain,and confirmed to be valid by practical calculation. Method 3 and 5 are the new ideas of the author, which are not well considered but put forward as lead for further study.