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烧蚀传热体有限元法
FINITE ELEMENT METHOD FOR THERMAL CONDUCTION PROBLEM WITH ABLATION
【摘要】 本文介绍一种适合于烧蚀传热特点的简便和实用的有限元法。首先从能量守恒原理出发,建立带有导数的有限元素方程,然后介绍了采用伽辽金(Galerkin)法对时间域进行有限元离散而得到的各种格式。 为了解决烧蚀移动边界问题,采用了在动坐标系上建立有限元素方程。 用本方法对典型问题进行了计算,并与理论解、差分解进行了比较,对方法作了初步讨论。本方法应用实例是高速飞行器轴对称端头再入烧蚀体的传热计算。
【Abstract】 A simple and useful finite element method for solving thermal conduction problem with ablation is presented.At first,finite element equation with derivatives is formulated from conservation law,then various forms of schemes are obtained using Ga-lerkin form to discreze.The finite element equation is formulated with moving coordinate system in order to solve a typical problem.The computed results are compared with analytical and difference solutions.
- 【文献出处】 空气动力学学报 ,Acta Aerodynamica Sinica , 编辑部邮箱 ,1985年02期
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