NEM653 - NUMERICAL METHODS IN ENGINEERING ANALYSIS

Course Name Code Semester Theory
(hours/week)		 Application
(hours/week)		 Credit ECTS
NUMERICAL METHODS IN ENGINEERING ANALYSIS NEM653 Any Semester/Year 3 0 3 8
Prequisites
Course languageTurkish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Preparing and/or Presenting Reports
Problem Solving
 
Instructor (s)Cemil Kocar (Assoc. Prof. Dr.), C. N. Sökmen (Prof.Dr.) 
Course objectiveTo teach the computational methods used to analyze nuclear reactor systems. 
Learning outcomes
  1. A student who succeeds in this course:
  2. (1) Has in-depth knowledge about computational methods to solve problems arising in nuclear reactor analysis,
  3. (2) Learns how to solve large and sparse systems of linear equations by direct and iterative methods.
  4. (3) Knows the application of numerical methods for initial value problems.
  5. 4) Applies the finite difference, finite element, and finite volume methods to boundary value problems.
  6. (5) Can solve and analyze the optimization problems and knows the applications of the linear programming and simplex method.
Course ContentReview of applied linear algebra, finite difference method, finite element method, finite volume method, boundary value problems, initial value problems, accuracy and stability, iterative methods and multigrid methods, optimization problems and linear programming. 
References1) G. Strang, ?Computational Science and Engineering?, Wellesley-Cambridge Press, 2011.
2) G. Strang, ?Introduction to Applied Mathematics?, Wellesley-Cambridge Press, 1986.
3) S. Nakamura, ?Computational Methods in Engineering and Science?, John Wiley & Sons, 1996.
 

Course outline weekly

WeeksTopics
Week 1Introduction and review of applied linear algebra
Week 2Generalized eigenvalue problems
Week 3Boundary value problems and finite difference method
Week 4Boundary value problems and finite difference method
Week 5Boundary value problems and finite difference method
Week 6Initial value problems and finite difference methods
Week 7Linear initial value problems
Week 8Nonlinear initial value problems
Week 9Accuracy and stability concerns for initial value problems
Week 10Iterative methods for large and sparse systems, First report and first presentation
Week 11Iterative methods for large and sparse systems
Week 12Krylov subspaces, conjugate gradients and multigrid methods
Week 13Optimization and minimum principles
Week 14Optimization and minimum principles
Week 15
Week 16Final report and second presentation

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments730
Presentation220
Project00
Seminar00
Midterms00
Final exam150
Total100
Percentage of semester activities contributing grade succes050
Percentage of final exam contributing grade succes050
Total100

WORKLOAD AND ECTS CALCULATION

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 3 42
Laboratory 0 0 0
Application000
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14456
Presentation / Seminar Preparation22550
Project000
Homework assignment7642
Midterms (Study duration)000
Final Exam (Study duration) 000
Total Workload3738190

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. Graduates of this program: Reach comprehensive and in-depth knowledge, evaluate and utilize it in the areas of nuclear engineering, technology, and applications.    X
2. Set up problems related to nuclear processes and pursue innovative approaches to solve them.    X
3. Design and do research based on analytical, modeling and experimental methods related to nuclear reactor analysis and engineering, nuclear systems, fuel management, nuclear safety, radiation physics and its applications; analyze and interpret complex cases.    X
4. Design and analyze systems, components and/or processes pertinent to nuclear energy, and evaluate social, environmental and economic aspects of the design developing innovative methods/approaches.    X 
5. Convey stages and results of their work by writing and/or orally at national and international occasions.    X 
6. Are conscious of their occupational and ethical responsibilities.    X
7. Being aware of the importance of lifelong learning, follow the advancements in science and technology and renew themselves continually.    X

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest