将火焰空间划分成若干等温区，并将窑墙和窑顶等划分成若干等温面，在灰色和等温的假设下，建立了玻璃熔窑火焰空间的三维数学模型。文中采用有限元法和高斯积分法计算三维直接交换面积，详细介绍了作者提出的一种快速计算算法，给出了若干数值模拟的结果，证实了此模型的实用性和有效性。

ThreeDimensional Mathematical Model of Combustion Gas Space in Glass Melting Funaces and its Namerical Solution Rao Wenbi Li Lihua Wu XiqiUnder grey and isothermal assumptions, dividing the gas space into several isothermal zones,and the crown and wall into some isothermal elements,a threedimensional mathematical model for combustion gas space in glass melting furnaces was constructed.The finite element method and gauss integration were used to calculate threedimensional direct interchange areas.A numerical solution has developed to accerate the calculating process.Simulations were made.The results show the effectiveness and applicability of the model.: glass melting furnaces; combustion space; mathematical mode; direct interchange areasRao Wenbi: Lect.,Dept. of Computer Science,WUT, Wuhan 430070,China.