1
课程详述
COURSE SPECIFICATION
以下课程信息可能根据实际授课需要或在课程检讨之后产生变动。如对课程有任何疑问，请联
系授课教师。
The course information as follows may be subject to change, either during the session because of unforeseen
circumstances, or following review of the course at the end of the session. Queries about the course should be
directed to the course instructor.
1.
课程名称
Course Title
数值模拟方法基础 Introduction to Numerical Simulation Methods
2.
授课院系
Originating Department
环境科学与工程学院 School of Environmental Science and Engineering
3.
课程编号
Course Code
ESE407
4.
课程学分
Credit Value
3
5.
课程类别
Course Type
专业选修课 Major Elective Courses
6.
授课学期
Semester
秋季 Fall
7.
授课语言
Teaching Language
中文 Chinese
8.
授课教师、所属学系、联系方
式（如属团队授课，请列明其
他授课教师）
Instructor(s), Affiliation&
Contact（For team teaching,
please list all instructors）
李海龙，环境科学与工程学院，185 8905 7378
Hailong Li, School of Environmental Science and Engineering, 185 8905 7378
9.
实验员/助教、所属学系、联系
方式
Tutor/TA(s), Contact
待公布 To be announced
10.
选课人数限额(可不填)
Maximum Enrolment
（Optional）
2
授课方式
Delivery Method
习题/辅导/讨论
Tutorials
实验/实习
Lab/Practical
其它(请具体注明)
Other（Please specify）
总学时
Total
11.
学时数
Credit Hours
4
0
10 编程和实例数值计算
10 programming and
numerical simulation
examples
48
12.
先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
先选课 Co-requisites: 高等数学 Calculus, 线性代数 Linear Algebra,
常 微 分 方 程 B Ordinary Differential Equations B , 或 数 学 物 理 方 程 or Equations of
Mathematical Physics
13.
后续课程、其它学习规划
Courses for which this
course is a pre-requisite
无 N/A
14.
其它要求修读本课程的学系
Cross-listing Dept.
无 N/A
教学大纲及教学日历 SYLLABUS
15.
教学目标 Course Objectives
本课程将力图使学生掌握反应扩散方程所描述的各种常见物理过程（热传导、流体流动、多孔介质中的地下水流以及溶质
运移等），常用的离散化方法，包括线性三角形单元有限元法、有限差分法、控制容积法等，非线性的处理，离散后的线
性代数方程组的基本性质和结构以及常用的直接解法和迭代解法，并用 Fortran 语言对其中的 LU 直接解法和常用迭代解法
进行编程实践，最后以 MARUN 程序为例，介绍地下水流动和溶质运移典型实例。
This course is designed to let students to understand common physical phenomena represented by reaction-convection
equations of parabolic type, such as heat conduction, fluid flow, groundwater flow and solute transport in porous media.
Some common discretization methods (including finite element method with triangle element, finite difference method,
and finite volume method), treatment to nonlinearity, direct and iterative methods for solving system of linear equations
will be introduced in this course. In particular, this course will show students how to code up these methods in Fortran like
LU decomposition and some common iterative methods for solving linear algebraic systems. Furthermore, typical
examples of groundwater flow and solute transport realized by the numerical code MARUN will be demonstrated at the
end of this course.
16.
预达学习成果 Learning Outcomes
通过本课程学习，学生将掌握数值模拟的基本原理，了解常见方法和常见商业软件，为在以后的学习和工作中进一步利用
各种先进数值模拟方法定量刻画各种复杂的流体流动及其相伴的运移反应过程打下坚实而宽泛的基础。
Having taken this course, students will understand basic principles of numerical simulations, and learn some common
methods and commercial software for numerical simulations. This course will build a broad and solid foundation for
future study and work for further using advanced numerical methods to solve various complex problems in engineering
and environments related to fluid flows, solute transport and reactions.
17.
课程内容及教学日历 （如授课语言以英文为主，则课程内容介绍可以用英文；如团队教学或模块教学，教学日历须注明
主讲人）
Course Contents (in Parts/Chapters/Sections/Weeks. Please notify name of instructor for course section(s), if
this is a team teaching or module course.)
3
学时
Hours
序号
NO.
内容
Content
理论
Theoretic
Teaching
实验
Experiment
实践
Exercise
上机操作
Computer
Operation
学时汇总
Sub-
total
1
绪言
Introduction
2
0
0
0
2
2
物理现象的数学描述
Mathematical description of physical
phenomena
4
0
0
0
4
3
离散化方法
Discretization methods
6
0
0
0
6
4
热传导方程（地下渗流方程）
Heat conduction equation (Groundwater
flow equation)
6
0
0
0
6
5
对流与扩散（地下水溶质运移）方程
Convection and diffusion (solute transport
in groundwater) equation
6
0
0
0
6
6
流场计算中的若干问题
Several problems in flow field simulations
4
0
0
0
4
7
习题解答、辅导和讨论
Exercise discussion
0
0
4
0
4
8
MARUN 数值模拟程序简介
Introduction to MARUN simulation code
6
0
0
2
8
9
编程和实例数值计算
Programming examples
0
0
0
8
8
总计
Total
34
0
4
10
48
18.
教材及其它参考资料 Textbook and Supplementary Readings
教材/Textbook)：
S. V. Patankar 帕坦卡著，张政译，传热与流体流动的数值计算，科学出版社，第 1 版，1984.书号 15031.603。
S.V.Patankar, Numerical Heat Transfer and Fluid Flow (1980), ISBN 0-89116-522-3
参考资料/Supplementary Readings：
1. Zheng, C., and G.D. Bennett, 2002, Applied Contaminant Transport Modeling, 2nd edition, John Wiley & Sons,
New York, USA, ISBN 0-471-38477-1.
2.李海龙，2007，研究生教材《地下水污染与防治》第十二章“污染物运移数值模拟与预测”, 王焰新 编著, 高等教育出版
社，2007。
Li, Hailong, 2007. Numerical model and prediction for groundwater solute transport. Chapter 12 of “Groundwater
contamination: prevention and remediation”, Text book for university graduates, Edited by Y.X. Wang, Higher education
Press, P. R. China (in Chinese).
4
课程评估 ASSESSMENT
19.
评估形式
Type of
Assessment
评估时间
Time
占考试总成绩百分比
% of final score
违纪处罚
Penalty
备注
Notes
出勤
Attendance
全程/Full time
10%
课堂表现
Class
Performance
全程/Full time
5%
小测验
Quiz
无/None
课程项目
Projects
平时作业
Assignments
全程/Full time
5%
期中考试
Mid-Term Test
无/None
期末考试
Final Exam
2 小时/Two hours
40%
期末报告
Final
Presentation
一周/One week
40%
其它（可根据需要
改写以上评估方
式）
Others (The
above may be
modified as
necessary)
有可能改变期末考试和
期末报告所占比例或者
取消其中一项评估。
The weights of final
exam grade and final
project grade may be
changed depending on
the situation.
20.
记分方式 GRADING SYSTEM
A. 十三级等级制 Letter Grading
B. 二级记分制（通过/不通过） Pass/Fail Grading
课程审批 REVIEW AND APPROVAL
21.
本课程设置已经过以下责任人/委员会审议通过
This Course has been approved by the following person or committee of authority