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地幔对流的数值模拟研究为理解地壳运动、地幔内部的性质和地球的动力学机制提供了手段。笔者回顾了地幔对流数值模拟的发展，总结了各种常用的描述地幔对流的数学模型，边界条件以及数值解法。分析了级数展开方法，有限差分方法，有限元方法和多重网格方法的性质和特点，针对某些方法编写了二维地幔对流的计算机软件，使用了实际的地质参数，无穷大的Ｐｒａｎｄｔｌ数，在１０４到１０７之间的Ｒａｙｌｅｉｇｈ数，并给出了数值结果和地质解释。
Numerical simulation of mantle convection provides a means of understanding crustal movement, the properties of the interior of the mantle, and the Earth's dynamical mechanisms. The author reviews the development of numerical simulation of mantle convection and summarizes various commonly used mathematic models to describe convection, boundary conditions and numerical solutions. The properties and characteristics of the series expansion method, the finite difference method, the finite element method and the multi-grid method are analyzed. The computer software for two-dimensional mantle convection is compiled for some methods. The actual geologic parameters, infinite Prandtl's number, The Rayleigh numbers between 104 and 107 give numerical results and geological interpretations.