└── README.md /README.md: -------------------------------------------------------------------------------- 1 | # 计算流体力学 Computational Fluid Dynamics 2 | 3 | ## 主要内容 4 | 5 | - [前言](#preparation) 6 | - [推荐学习路线](#learning_route) 7 | - [数学基础初级](#math_basic) 8 | - [计算流体力学初级](#CFD_basic) 9 | - [数学基础中级](#math_median) 10 | - [计算流体力学中级](#CFD_median) 11 | - [程序语言能力](#programming_basic) 12 | - [实战练习](#practice_basic) 13 | - [推荐书籍列表](#booklists) 14 | - [致谢](#many_thanks) 15 | 16 | ---- 17 | 18 |

前言

19 | 深刻认识到学习是按部就班来的，步步为营、稳扎稳打。注意有很多课程暂时未能找到较好的网上资源，我们这边仅以我们使用的教材作为参考。 20 | --- 21 | 22 |

推荐学习路线

23 |

数学基础初级

24 | 25 | 课程 | 机构 | 参考书 | Notes等其他资料 26 | :-- | :--: | :--: | :--: 27 | [单变量微积分](http://open.163.com/movie/2006/8/M/L/M6GLI5A07_M6GLJH1ML.html) | MIT | [Calculus with Analytic Geometry](https://www.amazon.com/exec/obidos/ASIN/0070576424/ref=nosim/mitopencourse-20) | [链接](https://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/)  28 | [多变量微积分](http://open.163.com/special/opencourse/multivariable.html) | MIT | [Multivariable Calculus](https://www.amazon.com/exec/obidos/ASIN/0130339679/ref=nosim/mitopencourse-20) | [链接](https://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/) 29 | [线性代数](http://open.163.com/special/opencourse/daishu.html)| MIT | [Introduction to Linear Algebra](http://math.mit.edu/~gs/linearalgebra/) | [链接](https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/study-materials/) 30 | 数值分析|| [数值分析](https://www.amazon.cn/dp/B00JL5W79W/ref=sr_1_1?ie=UTF8&qid=1488892372&sr=8-1&keywords=%E6%95%B0%E5%80%BC%E5%88%86%E6%9E%90) 31 | 32 | --- 33 |

计算流体力学初级

34 | 35 | 书名 | 机构 36 | :--: |:--: 37 | [Fundamentals of Aerodynamics](https://www.amazon.com/Fundamentals-Aerodynamics-John-Anderson/dp/1259129918/ref=pd_sbs_14_t_0?_encoding=UTF8&psc=1&refRID=8VCV9V3JN5CZE8P8WGDV) | Marland 38 | [计算流体力学基础及其应用](https://www.amazon.cn/%E5%9B%BE%E4%B9%A6/dp/B00YG14HGW/ref=sr_1_1?ie=UTF8&qid=1488890621&sr=8-1&keywords=%E8%AE%A1%E7%AE%97%E6%B5%81%E4%BD%93%E5%8A%9B%E5%AD%A6%E5%9F%BA%E7%A1%80%E5%8F%8A%E5%85%B6%E5%BA%94%E7%94%A8)| Maryland| 39 | 40 | --- 41 |

数学基础中级

42 | 43 | 书名 | 机构 44 | :--: |:--: 45 | [数学分析新讲](https://www.amazon.cn/%E6%95%B0%E5%AD%A6%E5%88%86%E6%9E%90%E6%96%B0%E8%AE%B2-%E7%AC%AC1%E5%86%8C-%E5%BC%A0%E7%AD%91%E7%94%9F/dp/B00P7MJOZI/ref=cm_cr_arp_d_product_top?ie=UTF8) | PKU | 46 | [高等代数简明教程](https://www.amazon.cn/%E6%99%AE%E9%80%9A%E9%AB%98%E7%AD%89%E6%95%99%E8%82%B2-%E5%9B%BD%E5%AE%B6%E7%BA%A7%E8%A7%84%E5%88%92%E6%95%99%E6%9D%90%C2%B7%E5%8C%97%E4%BA%AC%E5%A4%A7%E5%AD%A6%E6%95%B0%E5%AD%A6%E6%95%99%E5%AD%A6%E7%B3%BB%E5%88%97%E4%B8%9B%E4%B9%A6-%E9%AB%98%E7%AD%89%E4%BB%A3%E6%95%B0%E7%AE%80%E6%98%8E%E6%95%99%E7%A8%8B-%E8%93%9D%E4%BB%A5%E4%B8%AD/dp/B00P7MJOUI/ref=pd_bxgy_14_img_2?ie=UTF8&psc=1&refRID=9TZHEQS13ZEQH7XEJXRC) | PKU 47 | [矢量分析与场论](https://www.amazon.cn/%E9%AB%98%E7%AD%89%E5%AD%A6%E6%A0%A1%E6%95%99%E6%9D%90%E2%80%A2%E5%B7%A5%E7%A8%8B%E6%95%B0%E5%AD%A6-%E7%9F%A2%E9%87%8F%E5%88%86%E6%9E%90%E4%B8%8E%E5%9C%BA%E8%AE%BA/dp/B0084XU730/ref=sr_1_fkmr1_1?ie=UTF8&qid=1488891767&sr=8-1-fkmr1&keywords=%E7%9F%A2%E9%87%8F%E5%88%86%E6%9E%90%E4%B8%8E%E5%BC%A0%E9%87%8F%E5%88%86%E6%9E%90) | 48 | [张量分析](https://www.amazon.cn/%E5%9B%BE%E4%B9%A6/dp/B00N9UDSHK/ref=sr_1_1?ie=UTF8&qid=1488891832&sr=8-1&keywords=%E5%BC%A0%E9%87%8F%E5%88%86%E6%9E%90) | THU 49 | [偏微分方程及数值解](https://www.amazon.cn/%E6%99%AE%E9%80%9A%E9%AB%98%E7%AD%89%E6%95%99%E8%82%B2-%E8%A7%84%E5%88%92%E6%95%99%E6%9D%90-%E5%81%8F%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E6%95%B0%E5%80%BC%E8%A7%A3%E6%B3%95-%E5%AD%99%E5%BF%97%E5%BF%A0/dp/B007PNM9VS/ref=sr_1_7?ie=UTF8&qid=1488892479&sr=8-7&keywords=%E5%81%8F%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B+%E6%95%B0%E5%80%BC) | 50 | 51 | --- 52 |

计算流体力学中级

53 | 54 | 书名 | 机构 55 | :--: |:--: 56 | [ An Introduction to Computational Fluid Dynamics...](https://www.amazon.com/Introduction-Computational-Fluid-Dynamics-Finite/dp/0131274988/ref=sr_1_1?s=books&ie=UTF8&qid=1488892262&sr=1-1&keywords=An+Introduction+to+Computational+Fluid+Dynamics-The+Finite+Volume+Method)| 57 | [COMPUTATIONAL FLUID DYNAMICS principles and Applications](https://www.amazon.com/Computational-Fluid-Dynamics-Principles-Applications/dp/0080999956/ref=sr_1_1?s=books&ie=UTF8&qid=1488891087&sr=1-1&keywords=COMPUTATIONAL+FLUID+DYNAMICS+principles+and+Applications) | 58 | [The Finite Volume Method in Computational Fluid Dynamics...](https://www.amazon.com/Finite-Method-Computational-Fluid-Dynamics-ebook/dp/B013W6ROKW/ref=sr_1_1?s=books&ie=UTF8&qid=1488892625&sr=1-1&keywords=The+Finite+Volume+Method+in+Computational+Fluid+Dynamics++An+Advanced+Introduction+with+OpenFOAM%C2%AE+and+Matlab) | 59 | [Turbulence Modeling for CFD](https://www.amazon.com/Turbulence-Modeling-Third-David-Wilcox/dp/1928729088/ref=sr_1_1?s=books&ie=UTF8&qid=1488892797&sr=1-1&keywords=Turbulence+modeling+for+cfd) | 60 | [Riemann Solvers and Numerical Methods for Fluid Dynamics...](https://www.amazon.com/Riemann-Solvers-Numerical-Methods-Dynamics/dp/3540252029/ref=sr_1_1?s=books&ie=UTF8&qid=1488892886&sr=1-1&keywords=Riemann+solver) | 61 | 62 | --- 63 |

程序语言能力

64 | 65 | 计算流体力学的核心是数学原理+程序实现，编程语言是必须的。 66 | 67 | 课程 | 参考学习链接 | 推荐书籍 68 | :-- | :--: | :--: 69 | C++程序语言设计| [C++语言程序设计基础](http://www.xuetangx.com/courses/course-v1:TsinghuaX+00740043_1x+2017_T1/about) | [C++ Primer(中文版)](https://www.amazon.cn/%E5%9B%BE%E4%B9%A6/dp/B00ESUIL0O/ref=sr_1_1?s=books&ie=UTF8&qid=1488893037&sr=1-1&keywords=c+primer)  70 | Fortran程序语言设计| [Fortran实用编程](http://v.fcode.cn/) | [Fortran95程序设计](https://www.amazon.cn/Fortran95%E7%A8%8B%E5%BA%8F%E8%AE%BE%E8%AE%A1-%E5%BD%AD%E5%9B%BD%E4%BC%A6/dp/B00119CRTQ/ref=sr_1_1?ie=UTF8&qid=1488893157&sr=8-1&keywords=Fortran) 71 | 72 | --- 73 |

实战练习

74 | 75 | 翼型绕流二维求解器编写（Fortran行数：到达第四阶段代码量5000行左右）： 76 | - 第一阶段 Euler方程求解器 ：建议对流项离散采用JST格式。时间离散可以采用 显示 Runge-Kutta法。upwind格式和隐式推进较难，以后可以再完善。 77 | - 第二阶段 NS方程求解器：比Euler只多了扩散项，这一项离散比较简单。 78 | - 第三阶段 采用upwind格式和隐式格式：现在要求解大型代数方程组了，当然是LU-SGS方法。 79 | - 第三阶段 湍流模型： 建议采用SA模型，这个是一方程的，简单。湍流方程和NS方程耦合求解。 80 | - 第四阶段 预处理： 之前的都是适合可压流，预处理之后适合全速域。 81 | - 第五阶段 动网格... 82 | 83 | --- 84 |

推荐书籍列表

85 | 86 | 参考书 | 难度 87 | :-- | :---: 88 | [数学分析新讲](https://www.amazon.cn/%E6%95%B0%E5%AD%A6%E5%88%86%E6%9E%90%E6%96%B0%E8%AE%B2-%E7%AC%AC1%E5%86%8C-%E5%BC%A0%E7%AD%91%E7%94%9F/dp/B00P7MJOZI/ref=cm_cr_arp_d_product_top?ie=UTF8) | 中等 89 | [高等代数简明教程](https://www.amazon.cn/%E6%99%AE%E9%80%9A%E9%AB%98%E7%AD%89%E6%95%99%E8%82%B2-%E5%9B%BD%E5%AE%B6%E7%BA%A7%E8%A7%84%E5%88%92%E6%95%99%E6%9D%90%C2%B7%E5%8C%97%E4%BA%AC%E5%A4%A7%E5%AD%A6%E6%95%B0%E5%AD%A6%E6%95%99%E5%AD%A6%E7%B3%BB%E5%88%97%E4%B8%9B%E4%B9%A6-%E9%AB%98%E7%AD%89%E4%BB%A3%E6%95%B0%E7%AE%80%E6%98%8E%E6%95%99%E7%A8%8B-%E8%93%9D%E4%BB%A5%E4%B8%AD/dp/B00P7MJOUI/ref=pd_bxgy_14_img_2?ie=UTF8&psc=1&refRID=9TZHEQS13ZEQH7XEJXRC) | 中等 90 | [Fundamentals of Aerodynamics](https://www.amazon.com/Fundamentals-Aerodynamics-John-Anderson/dp/1259129918/ref=pd_sbs_14_t_0?_encoding=UTF8&psc=1&refRID=8VCV9V3JN5CZE8P8WGDV) | 一般 91 | [计算流体力学基础及其应用](https://www.amazon.cn/%E5%9B%BE%E4%B9%A6/dp/B00YG14HGW/ref=sr_1_1?ie=UTF8&qid=1488890621&sr=8-1&keywords=%E8%AE%A1%E7%AE%97%E6%B5%81%E4%BD%93%E5%8A%9B%E5%AD%A6%E5%9F%BA%E7%A1%80%E5%8F%8A%E5%85%B6%E5%BA%94%E7%94%A8)| 一般 92 | [COMPUTATIONAL FLUID DYNAMICS principles and Applications](https://www.amazon.com/Computational-Fluid-Dynamics-Principles-Applications/dp/0080999956/ref=sr_1_1?s=books&ie=UTF8&qid=1488891087&sr=1-1&keywords=COMPUTATIONAL+FLUID+DYNAMICS+principles+and+Applications)| 中等 93 | [An Introduction to Computational Fluid Dynamics...](https://www.amazon.com/Introduction-Computational-Fluid-Dynamics-Finite/dp/0131274988/ref=sr_1_1?s=books&ie=UTF8&qid=1488892262&sr=1-1&keywords=An+Introduction+to+Computational+Fluid+Dynamics-The+Finite+Volume+Method)| 中等 94 | [The Finite Volume Method in Computational Fluid Dynamics...](https://www.amazon.com/Finite-Method-Computational-Fluid-Dynamics-ebook/dp/B013W6ROKW/ref=sr_1_1?s=books&ie=UTF8&qid=1488892625&sr=1-1&keywords=The+Finite+Volume+Method+in+Computational+Fluid+Dynamics++An+Advanced+Introduction+with+OpenFOAM%C2%AE+and+Matlab) | 中等 95 | 96 | ##

致谢

97 |  感谢南京航天航空大学孙振航的资料的分享。 98 | --------------------------------------------------------------------------------