NQE412 Monte Carlo Methods and Applications


Fall 2003


Time  Tuesday  10:30-12:00  (Room #2424 [ME Building])  
 Thursday  10:30-12:00 (Room #2424 [ME Building])   

Instructor Prof. Nam Zin Cho (nzcho@kaist.ac.kr x3819)
Teaching Assistant Jong Woon Kim (spiky@fermi.kaist.ac.kr x3859)
Lecture in English



Course Outline

The Monte Carlo method is a basic computer simulation technique that is now widely used in nuclear reactor design/analysis. More recently, the method is gaining increasing use also in other disciplines such as various basic science and engineering problems, and socio/economic models as well. This course deals with fundamentals of the Monte Carlo methods (including related subjects of Ising models and molecular dynamics): (1) random variables and random number generation, (2) sampling procedures, (3) analog Monte Carlo, (4) non-analog Monte Carlo and variance reduction techniques, and then applies the methods to a selection of representative benchmark problems from several application areas: (5) radiation particle (neutron, g-ray, and charged particles such as electron and proton particle) transport problems, (6) bio/nuclear medicine systems design, (7) multiple integrals and integral equations, (8) molecular dynamics, atomic-scale and quantum Monte Carlo simulations for nano-tech systems, and (9) optimization problems.


Textbook
  1. Kalos and Whitlock, Monte Carlo Methods, Volume I: Basics, John Wiley & Sons, 1986.
References
  1. Hammersley and Handscomb, Monte Carlo Methods, London: Methuen & Co. Ltd, 1964.
  2. Lewis and Miller, Computational Methods of Neutron Transport, Chapter 7, John Wiley & Sons, 1984.
  3. R.L. Morin (Ed.), Monte Carlo Simulation in the Radiological Sciences, CRC Press, 1988.
  4. Allen and Tildesley, Computer Simulation of Liquids, Oxford University Press, 1987.
  5. Newman and Barkema, Monte Carlo Methods in Statistical Physics, Claredon Press, 1999.
  6. D. Raabe, Computational Materials Science: The Simulation of Materials Microstructures and Properties, Wiley-VCH, 1998.
  7. D. Frenkel and B. Smit, Understanding Molecular Simulation, 2nd Edition, Academic Press, 2002.
  8. K. Refson, Moldy User's Manual, available at (http://chin.icm.ac.cn/software/moldy.html)

Problem Sets

- Following materials are open to enrolled students only.  If you have any problem to access on materials, please contact with Teaching Assistant (Jong  Woon Kim spiky@fermi.kaist.ac.kr x3859)

Due Date

Contents

2003. 9. 23

Homework 1 (pdf format)

2003. 9. 30

Homework 2 (pdf format)

2003. 10. 7

Homework 3 (pdf format)

2003. 10. 14 Homework 4 (pdf format)
2003. 10. 21 Homework 5 (pdf format)
2003. 10. 28 Homework 6 (pdf format)
2003. 11. 20

Homework 7 (pdf format)

  Reference Document: 

   Criticality Calculations with MCNP: A Primer (pdf format)

   How to log in to the workstation (pdf format)

2003. 11. 27

Homework 8 (pdf format)

  You can download programs on the problem set #8

  (sample.c and wolff.c)

2003. 12. 16 Homework 9 (pdf format)

  - Late problem sets will have 0.5 points deducted for each day.  Please keep the due date.

 

Notice Board

Date Contents
2003.11.07

In the problem set #7, the unit of density input is atoms/b-cm

2003.11.05

Refer to document "Criticality Calculations with MCNP: A Primer" for problem set #7.

2003.11.04

We are going to have makeup class.
        ==========================================
            When: November 7 (Friday)
           Time: 7:30 p.m.
         Where: Rm#2424 (same class room)

        ==========================================

2003.10.24

         In the problem set #6,  the given value sf =0.002 can be small for the problem.  

        Even though it is small, just use data given on the problem set #6 and try it again with sf =0.009. 

        Submit two results and discussion.

2003.10.07

      Write down the discussion on each problem, or 5 points will be deducted on each problem

2003. 9. 23

      Correction:   problem set #1:  3-iv)  p(x)=2x  ----> p(x)= x + 1/2

        There will not be any point deduction on problem 3-iv) as long as you mention the reason why we can not

        solve problem 3-iv) with p(x)=2x.