NE155 - Introduction to Numerical Simulations in Radiation Transport

Spring 2008 lecture schedule


Weeks Date Topic

Notes

Handouts
1 Jan 22, 2008 Introduction, organization, overview and goals Syllabus
1 - 3 Jan 22 - Feb 7, 2008

Introduction to neutron density, flux and currentscomparison of deterministic and stochastic simulation methods

Review of neutron transport & diffusion theory

Derivation of integro-differential neutron transport equation

Derivation of the neutron diffusion equation

Duderstadt and Hamilton, Chapter 4

Lecture notes, part 1

Lecture notes, part 2

Lecture notes, part 3

Lecture notes, part 4

Lecture notes, part 5

Lecture notes, part 6
4 - 5 Feb 12 - 19, 2008 Monte Carlo simulations of neutron transport

Lewis and Miller, Chapter 7 handout

Lecture notes, part 1

Lecture notes, part 2
5 - 6 Feb 19 - 26, 2008 Introduction to MCNP, MCNP examples MCNP (ANECL) website
6 Feb 28, 2008 Midterm 1
7 - 8 Mar 4 - 13, 2008 Review: Fundamantals of numerical methods: Numerical differentiation and integration; Initial value problems of ODEs; Linear algebra and solutions of linear systems, finite difference methods

Lecture Notes: Section 2.1, Numerical differentiation & integration

Lecture notes: Interpolation

Lecture Notes: Section 2.2, IVPs

Lecture Notes: Section 2.3, Linear Algebra

Lecture Notes: Finite Difference Methods
9 Mar 18 - 20, 2008 Numerical solution of neutron diffusion equation

Handout

Lecture notes
10 March 25 - 27, 2008 Spring break
11 - 13 April 1 - 17, 2008

Introduction to discrete ordinants - neutron transport equation

Discretization of continuous variables (time, energy and angle) in neutron transport

Spherical Harmonics discretization - derivation of the Pn equations

Discrete Ordinates (Sn) methods & solution methods

Duderstadt and Hamilton, Chapter 4

Lecture notes

Lecture notes

Lecture notes - summary of discrete ordinates
14 April 22, 2008 Midterm 2
14 - 15 Apr 24 - May 1, 2008 Introduction to the PARTISN Sn computer code & PARTISN examples

Lecture notes

Partisn manual: Chapter 1

Partisn manual: Chapter 2
16 May 6 - 8, 2008 Advanced topics in numerical simulations in neutron transport and working on term projects
17 May 20, 2008 Student presentations of term projects