| 三维边界拟合坐标变换及应用 |
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| 引用本文： | 周振红. 三维边界拟合坐标变换及应用[J]. 灌溉排水学报, 1996, 0(3) |
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| 作者姓名： | 周振红 |
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| 作者单位： | 武汉水利电力大学 |
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| 摘 要： | 根据边界拟合坐标变换的基本原理，应用张量分析方法完成了三维坐标变换控制方程的推导，用交替方向有限分析法求解上述方程，生成数值网格。利用三维边界拟合坐标变换技术，可将具有任意曲面边界的三维物理区域变成长方体计算区域，在该区域中形成单位立方体差分网格。文中给出了一个具体的变换实例。
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| 关 键 词： | 三维，边界拟合坐标变换，网格，张量分析，有限分析法 |
Transformation of Boundary-fitted Coordinate and its Application |
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| Zhou Zhenhong. Transformation of Boundary-fitted Coordinate and its Application[J]. Journal of Irrigation and Drainage, 1996, 0(3) |
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| Authors: | Zhou Zhenhong |
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| Affiliation: | Wuhan University of Hydraulic and Electric Engineering 430072 |
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| Abstract: | In this paper,based on the fundamental principle of boundary-fitted coordinate transformation (BFCT),the three-dimensional governing equations are derived by tensor analytic method.Then,the above equations are alternaly solved by finite analytic method to generate numerical grids.By means of BFCT,a three-dimensional physical space with arbitrary configuration can be transformed into standard cube,forming the unit cubic grid. Finally,a concrete example of transformation is presented. |
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| Keywords: | Three-dimension Boundary-fitted coordinate transformation Grid Tensor analysis Finite analytic method |
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