I.The Basic Information of the Course
Course Number:
The EnglishName of theCourse：Numerical method in Fluid Caculation
The ChineseName of theCourse：流体计算数值方法
In-classHours andAllocation:total class hours: 32, classroom teaching: 20 classhours, classroom discussion: 12 classhours.
Credit(s):2
Semester:2
AppliedDiscipline(Professional Degree Category)：Mathematics
CourseObjectOriented：Academic Master
EvaluationMode:Process Evaluation
TeachingMethod:Seminar-style Teaching, Heuristic Teaching.
CourseOpening Department:School of Mathematical Sciences
II.Prerequisite Course
Mathematical analysis,Advanced algebra, Partial differential equations, Calculation method
III. The Objectives and Requirements of the Course
(1) Cultivate postgraduates with a noble scientific outlook, firm ideals and beliefs, and consciously carry forward and practice the core values of socialism.
(2) Through the teaching of fluid mechanics governing equations, difference methods, moving boundary methods and high-precision high-resolution methods, etc., to enable graduate students to master the basic theory of fluid calculation and the numerical methods required for fluid calculation, and to enable students Have the ability to apply the learned numerical methods to solve specific fluid calculation problems in marine engineering.
(3) Require students to master the basic theory of fluid calculation and several commonly used numerical methods, and use the basic theory and methods learned to solve fluid calculation problems.
(4) Classroom discussion (accounting for 37.5%) mainly contains the content of curriculum ideology and politics. Teachers use the relevant content from ancient times to the present as a case guide to allow students to fully consult the materials and actively speak. This part of the results is used to praise students The patriotic feelings at the same time stimulate students' interest in learning.
IV. The Content of the Course
Chapter 1 Basic theory of computational fluid dynamics
Research contents of computational fluid dynamics, Development of computational fluid dynamics, Euler equation, N-S equation.
Chapter 2 Basic theory of difference method in hydrodynamics
Difference scheme, Aptness theory,Difference method of conservation equation,Difference method of dissipative equation.
Chapter 3 Difference method of N-S equation and Euler equation
Finite difference method, Stream function method, Finite analysis method, Lagrange method, Finite volume method, Particle method.
Chapter 4 Moving boundary problems and high precision and high resolution methods
Level Set method, VOF method, TVD method, ENO method, Grid generation technology.
Chapter 5 Application of numerical method of fluid force
Introduce the problems of fluid dynamics in the field of marine renewable energy research, and discusses the application of different numerical methods in this field.
Course thinking: By introducing the difficult process of Chinese scientists to overcome the cutting-edge problems of hydrodynamic calculation, and the rich research results obtained by the older generation of scientific researchers such as Dai Yishan in our school in the field of hydrodynamics, we should carry forward the spirit of patriotism and never forget scientific research Seek the original heart, keep in mind the mission of science and technology to rejuvenate the country.
1. Cultivate students' national pride and national feelings through typical examples
In the brief history of the development of fluid mechanics in the introductory part, the achievements of my country's fluid mechanics are described through engineering examples, which in turn stimulates students' national pride.For example, Dayu harnessed water more than 4,000 years ago. This large-scale river control project reflects the wisdom of applying the principles of fluid mechanics to solve practical engineering problems in ancient my country.From 256 BC to 210 BC, China built three well-known water conservancy projects: Dujiangyan, Zhengguo Canal, and Lingqu, which were not only conducive to flood drainage, but also used for farmland irrigation all year round. The laws of movement of streams and weirs have a very mature understanding and reached a very high scientific level.In 37 AD, Nanyang Taishou Du Shi of the Eastern Han Dynasty created a water drain, using hydraulic power to continuously open and close the leather blast bladder through the transmission machinery and send the air into the metallurgical furnace, marking that China has already applied based on the principles of fluid mechanics. It has made great strides and is more than 1,000 years earlier than Western Europe.In addition, the contemporary large-scale water conservancy project South-to-North Water Transfer and the Three Gorges Project marked my country's engineering application of theoretical knowledge such as open channel flow and energy dissipation measures in fluid mechanics, and made significant achievements. These projects from ancient times to the present have not only allowed us to have full cultural confidence and national pride, but also made students more determined to strive for the great national rejuvenation.
By introducing the deeds of scientists in the field of contemporary fluid mechanics in my country, we will cultivate and inspire students' feelings about home and country. For example, Zhou Peiyuan, the founder of our country's turbulence theory, amidst the turbulent domestic situation, he still gave up his generous treatment in the United States and resolutely returned to his motherland. In order to save the country scientifically, he temporarily put aside more than ten years of relativistic research, focused on more practical turbulence, and proposed two methods for solving turbulent motion, laying the foundation for the international "turbulence model theory" . In addition, Zhou Peiyuan has also called for disarmament and opposed the manufacture of weapons of mass destruction internationally, and has made tremendous contributions to the struggle for world peace. He has been praised as a role model for scientists.Qian Xuesen, a famous scientist in my country, has returned to China after five years of hard work in order to serve the motherland and give up the generous treatment in the United States. He has achieved world-recognized achievements in fluid mechanics and rocket development, especially in aerodynamics. Thanks to the effectiveness of Qian Xuesen’s return to China, my country’s rocket and missile launch business has advanced for at least 20 years. From these scientists, it inspires students to study the spirit of hard work and the feelings of their country.
2. Develop students' scientific spirit
The large number of theories and equations in the numerical methods of fluid calculation course are the crystallization of wisdom that many great scientists spent their life exploring and summarizing. When teaching, the stories behind some scientists should be interspersed in time to introduce students to their deeds and scientific spirit. In 1738, the Swiss scientist Bernoulli used the kinetic energy theorem to derive the well-known constant energy equation of the ideal fluid (Bernoulli equation), which is the core equation of fluid mechanics. However, this great achievement was established by Bernoulli through a large number of flow experimental studies, relying on a profound theoretical foundation of calculus. Based on this, we can inspire students to use more hands, brains, observations, and summaries in the learning process. At the same time, they must learn every basic course in order to lay a good foundation for the follow-up professional courses. Bernoulli was very talented, but his father repeatedly prevented him from carrying out scientific research. However, he did not give up, and won many scientific awards and honors, and completed the most important work "fluid dynamics."It is not easy to achieve these scientific achievements, which is inseparable from his persistence and continuous exploration and research on the scientific path. When explaining the Euler equations, he can tell students the spirit of Euler’s scientific research without fear of difficulty. In the case of blindness in his eyes, he completed more than 400 articles by oral methods with amazing memory and tenacious perseverance. focus on. Although Bernoulli and Euler had twists and turns in their lives, they perseveredly pursued the path of science. Their noble scientific sentiment is always worth learning.
V. Reference Books, Reference Literatures, and Reference Materials
1.J. Ferziger, M. Peric. Computational Methods for Fluid Dynamics. Springer，2002.
2.J. Blazek. Computational Fluid Dynamics: Principles and Applications.Els-evier,2001.
3.John D. Anderson, Jr.Computational Fluid Dynamics:The Basics with Applica-tions. McGraw-Hill, Inc.,1995
4.C. Pozrikidis.Fluid Dynamics Theory Computation and Numerical Simulation Pozrikidis.Springer, 2009.
5.Lu Changgen. Numerical Calculation Method in Hydrodynamics. Science Press, 2015.
6.Xin Xiaokang, Liu Ruxun. Computational Fluid Dynamics.NationalUniversity of DefenceTechnologyPress, 1992.
7.Hanxin. Computational Fluid Dynamics.National Defense Industry Press,2003.
8.Fu Dexun. Computational Fluid Dynamics.Science Press,2003.
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