多重网格方法在传热数值分析中的应用

Applications of Multi-grid Method in the Numerical Analysis of Heat Transfer

多重网格方法是当前求解偏微分方程问题的高效算法之一 .文中结合传热问题的物理背景研究多重网格算法 ,并且将这些算法应用到传热问题的数值分析中 ,并给出了一维瞬态传热问题的算例分析 .

Multi grid method is a kind of effective algorithm to find solutions of partial differential equation problems. After rapid development of more than twenty years, its basic theories are mature and have been applied to many different fields. With the help of the heat transfer problems, this paper investigates multi grid algorithm, and then applies these algorithms to numerical analysis of heat transfer problems, moreover,it gives some examples about one dimension transient heat transfer problems.