目录
用 TTM 方法生成翼型网格 ...................................................................................................... 3
1.题目要求 ................................................................................................................................. 3
2.解题思路 ................................................................................................................................. 5
2.1 TTM 方法介绍 ............................................................................................................. 5
2.2 控制方程 ..................................................................................................................... 7
2.3 差分格式 ..................................................................................................................... 7
2.4 边界条件 ...................................................................................................................... 8
2.5 迭代方程 ..................................................................................................................... 9
2.5.1 点 Gauss-Siedel 迭代 ....................................................................................... 9
2.5.2 线 Gauss-Siedel 迭代 ..................................................................................... 10
2.5.3 点超松驰法(PSOR) ................................................................................... 10
2.5.4 线超松弛法(LSOR) .................................................................................. 11
2.6 程序框图 ................................................................................................................... 11
2.6.1 网格初始化 .................................................................................................... 12
2.6.2 带入迭代方程 ................................................................................................ 12
2.6.3 引入边界条件 ................................................................................................ 13
2.6.4 判断是否收敛 ................................................................................................ 14
2.6.5 作收敛图 ........................................................................................................ 14
3 结果分析 .............................................................................................................................. 15
4 Matlab 程序 ........................................................................................................................... 19
4.1 网格初始化程序 ........................................................................................................ 19
4.2 点高斯迭代法 ........................................................................................................... 20
4.3 线高斯迭代法 ........................................................................................................... 21
4.4 点超松弛迭代法 ....................................................................................................... 23
4.5 线超松弛迭代法 ....................................................................................................... 24
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