| 地幔对流的数值模拟方法 |
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| 引用本文： | 吴爱弟,李文军,赵华刚,许晓霞,周瑶琪.地幔对流的数值模拟方法[J].地学前缘,1998(Z1). |
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| 作者姓名： | 吴爱弟 李文军 赵华刚 许晓霞 周瑶琪 |
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| 作者单位： | 石油大学 |
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| 摘 要： | 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。
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| 关 键 词： | 地幔对流 数值模拟 有限差分方法 温度 |
A REVIEW ON THE NUMERICAL SIMULATION OF THE MANTLE CONVECTION |
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| Wu Aidi\ Li Wenjun\ Zhao Huagang\ Xu Xiaoxia\ Zhou Yaoqi.A REVIEW ON THE NUMERICAL SIMULATION OF THE MANTLE CONVECTION[J].Earth Science Frontiers,1998(Z1). |
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| Authors: | Wu Aidi\ Li Wenjun\ Zhao Huagang\ Xu Xiaoxia\ Zhou Yaoqi |
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| Abstract: | Numerical simulation of the mantle convection is very useful for understanding the motion of the Earth's crust, the properties of the mantle and the dynamic mechanism of the Earth. This paper reviews the development of the numerical simulation of the mantle convection, makes a summary of mathematical models describing mantle convection and numerical methods such as finite difference method, finite element method, multigrid method etc. Additionally, the softwares about the mantle convection are programmed. Numerical experiments have been carried out on several simple two dimensional models, in which the convection is driven by imposed horizontal temperature gradients or by heating from below. In the computations, the authors use Boussinesq approximation. Prandtl number is infinite, Rayleigh number may be in the range of 10 4～10 7. |
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| Keywords: | mantle convection numerical simulation finite difference method temperature |
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