NUCE 525
MONTE CARLO METHODS
Description: Monte Carlo
Methods and Applications
Instructor: Dr. Kostadin Ivanov (kni1@psu.edu, (814) 865-0040, Nuclear
Engineering Program, Mechanical and Nuclear Engineering Department, 206 Reber Building, University Park)
Text:
1. K.
Ivanov, “NUCE
525 Class Notes and Handouts”, The Pennsylvania
State University,
2007.
2. M. Kalos, and
P. Whitlock, “Monte Carlo Methods (Vol.I Basics)”, John Wiley
& Sons, 1986
3. E. Lewis, and W. Miller, “Neutron
Transport Method (Chapter 7)”, American Nuclear Society, 1993.
References:
1. J.
Spanier, and E. Gelbard, “Monte Carlo
Principles and Neutron Transport Problems”, Addison-Wesley, 1969
2. I.
Lux, and L. Koblinger, “Monte Carlo
Particle Transport Methods: Neutron and Photon Calculations”, CRC Press, 1991
3. J.
Liu, “Monte Carlo Strategies in Scientific Computing”, 2001.
Grading:
30% - One mid-term exam
40% - Homework
30% - Course project
List of Topics
- Introduction
- Random
Processes and Basic Principles
- Fundamental
Formulation of Monte Carlo (FFMC)
- Sampling
Procedures
- Random
Number Generation
- Analog Monte
Carlo Simulation
- Fundamentals
of Probability Theory and Statistics
- Error
Estimation
- Non-Analog
Monte Carlo Methods and Variance Reduction
Techniques
- Energy-Dependent
Neutron-Nucleus Interactions in Monte Carlo
Simulations
- Tracking
in Phase Space
- Tallying
Procedures
- Geometry
and Model Representation
- Monte
Carlo Evaluation of Integrals
- Monte
Carlo Methods for Criticality or Eigenvalue Problems
- Monte
Carlo Methods for Shielding Problems and Simulation of
Experiments
- Vector and
Parallel Processing of Monte Carlo Methods
- Fuel Pin
Cell, Fuel Assembly, and Core Depletion Calculations
- Propagation
of Uncertainties in Monte Carlo Depletion
Calculations
- Recent
Monte Carlo Method Developments and Applications