| 周期性三对角阵方法与反复迭代法的比较 |
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| 引用本文： | 聂建虎,李增耀,陶文铨,王秋旺.周期性三对角阵方法与反复迭代法的比较[J].西安交通大学学报,2000,34(7):21-25. |
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| 作者姓名： | 聂建虎 李增耀 陶文铨 王秋旺 |
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| 作者单位： | 西安交通大学,710049,西安 |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金资助项目!(980 6 9835 ) |
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| 摘 要： | 用三维圆柱坐标同位网格方法求解环形空间中的自然对流，用周期性三对角阵（ＣＴＤＭＡ）方法求解所形成的代数方程。同时，对圆周角方向的周期性用反复迭代方式来实现的方法提出限一种实施边界条件处理的方法，并比较了采用ＣＴＤＭＡ方法与采用反复迭代法的收敛速度。对环形空间内对流换热的计算表明，采用ＣＴＤＭＡ方法比采用反复迭代法收敛要快得多。
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| 关 键 词： | 反复迭代法 周期性三对角阵 代数方程 自然对流 |
| 修稿时间： | 1999-12-09 |
Heat Transfer and Fluid Flow Analysis Using CollocatedCylindrical Coordinates in Three Dimensions |
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| Nie Jianhu,Li Zengyao,Tao Wenquan,Wang Qiuwang.Heat Transfer and Fluid Flow Analysis Using CollocatedCylindrical Coordinates in Three Dimensions[J].Journal of Xi'an Jiaotong University,2000,34(7):21-25. |
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| Authors: | Nie Jianhu Li Zengyao Tao Wenquan Wang Qiuwang |
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| Abstract: | Natural convection in annular enclosure is simulated numerically using collocated 3D cylindrical coordinate. The cyclic tridiagonal matrix (CTDMA) method is adopted to solve the discretization equations. The circumferential cyclic boundary condition is implemented using the mutual replacement method. The convergence rates for two numerical methods were compared. The results show that faster convergence is achieved by application of CTDMA. |
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| Keywords: | CTDMA periodical boundary conditions collocated cylindrical coordinate |
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