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Computational Fluid Dynamics |
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计算流体力学（简称CFD）是建立在经典流体动力学与数值计算方法基础之上的一门新型独立学科。通过计算机数值计算和图像显示的方法，在时间和空间上定量描述流场的数值解，从而达到对复杂流动问题进行研究的目的。本课程是热能与动力工程学科研究生主干课程，主要介绍流体流动数值模拟的基本原理及其最新发展，以及湍流数值模拟等知识。通过结合CFD应用实例的求解过程引导学生熟悉流动数值模拟的建模体系，从而能够利用计算流体力学方法解决相关实际研究问题。本课程学习过程中，计算软件Matlab和 ANSYS/FLUENT将用来对特定的流动方程进行求解。通过本课程学习，使学生了解并掌握CFD的基本理论、方法和技巧，以利于学生今后在相关学科领域开展科学研究和工程设计奠定基础。
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Computational Fluid Dynamics (CFD) is a core course in the graduate Thermal and Fluid Sciences Curriculum. The course covers numerical methods for physical simulations of gas and liquid flows. The course is based on the finite difference method and the finite element method with emphasis on fluid dynamics and includes various computational problems in fluid dynamics such as boundary conditions and meshing. In the practical part of the course, the software package Matlab and ANSYS/FLUENT are used and the course provides an introduction of relevant features of the program.
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Students are expected to learn how to formulate and solve computational problems arising in the flow of fluids. They should be able to assess the accuracy of a numerical solutions by comparison to known solutions of simple test problems and by mesh refinement studies. Students should learn how CFD is used to predict forces on airfoils. Students are expected to communicate their work graphically and in writing. Teamwork and oral communications are sometimes emphasized, depending on enrollment.
After reading this course the student should be:
•familiar with the differential equations for flow phenomena and numerical methods for their solution
•able to use and develop flow simulation software for the most important classes of flows in engineering and science.
•able to critically analyze different mathematical models and computational methods for flow simulations
•able undertake flow computations using current best practice for model and method selection, and assessment of the quality of results obtained.
COURSE ROAD-MAP AND SCHEDULE:
1 Principles of computational fluid dynamics;
2 Governing equations of fluid dynamics;
3 CFD solution procedures;
4 Discretization of governing equations;
5 Mesh generation and refinement;
6 Boundary conditions;
7 Flow computation based on SIMPLE algorithm;
8 CFD solution analysis;
9 Mathematical behavior of PDEs: the impact on CFD;
10 Turbulent flow computation;
11 Examples of CFD applications;
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1 计算流体力学的基本原理 （2学时/课堂教学）
2 流体力学的控制方程组 （2学时/课堂教学）
3 计算流体力学求解过程 （4学时/课堂教学）
4 控制方程离散化的基本方法 （6学时/课堂教学）
5 网格生成与坐标变换 （4学时/课堂教学）
6 初边值问题及各类流动问题边界条件的处理 （4学时/课堂教学）
7 基于SIMPLE算法的流场数值计算 （4学时/课堂教学）
8 CFD求解过程分析 （4学时/课堂教学）
9 偏微分方程的数学性质对CFD的影响 （4学时/课堂教学）
10 湍流、湍流模型及其在CFD中的应用 （4学时/课堂教学）
11 计算流体力学的应用实例分析 （10学时/课堂教学）
(a) 常用商业软件介绍及应用
(b) 典型的计算流体应用实例分析
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1 Homework and Quiz 20%
2 Two 6-page CFD project reports 40%
3 One comprehensive final exam 40%
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