Advanced development of neutron transport theory; neutron slowing-down and resonance absorption; approximations to the transport equation; direct numerical methods and other techniques of approximation theory applied to the neutron transport equation; advanced topics.
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Incorporation of neutron slowing down into the transport equation with the P1 approximation.
29 Neutron Slowing Down in P1
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Fundamental assumptions and treatment of neutron slowing down with simple neutron slowing down theory.
28 Basics of Neutron Slowing Down
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Some conceptual discussion of the adjoint flux, the inverse problem, and their physical meaning.
27 Interpretation of the Adjoint Flux
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The adjoint equation, operator, and flux.
26 The Adjoint Equation
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NPRE 555 Lecture
25 SN Coarse Mesh Rebalancing
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NPRE 555 Lecture
21 SN Discrete Ordinates Intro
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NPRE 555 Lecture
18 PN Group Constants Part 1
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NPRE 555 lecture discussing the discretization of energy groups into the PN equation approach.
17 PN Multigroup Equations
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NPRE 555 Lecture about the matrix solution to the PN equation.
16 PN Matrix Solution
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NPRE 555 Lecture about the PN approximation with spatial differencing.
15 PN with Spatial Differencing
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NPRE 555 lecture regarding boundary conditions for the P_N approximation.
14 PN Boundary Conditions
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NPRE 555 lecture regarding the P_N approximation for one speed, one dimensional problems.
13 PN One Speed
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NPRE 555 lecture continuing discussion of P_N method. Includes discussion of expansions of various terms.
12 PN Expansions
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Introductory material regarding spherical harmonics and legendre polynomials underpinning the P_N approximation.
11 Spherical Harmonics and Legendre Polynomials
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This short video touches on the content in Bell and Glasstone Chapter 2, which comments on some custom approaches to various "toy" problems that neglect energy.
10 Simple One-Speed Problems B&G Chapter 2
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This video is a bit of a digression, but will help when formulating future P_N, S_N, and other deterministic methods. Follow along in the pdf version of the notes as we…
09 Streaming in a Vacuum and Method of…
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Covers the workflow for a monte carlo algorithm as well as the iterative process and tallies for flux and criticality estimation.
08 MC Workflow and Tallies
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For NPRE 555, an introduction to the statistical concepts behind monte carlo methods.
07 Monte Carlo Intro
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NPRE 555 Example. 1D, steady state, finite, purely absorbing slab with a planar source at L/3.
06 Finite Slab Plane Source
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NPRE 555 Reactor Theory I This video covers 1d formulation of the neutron transport equation.
05 Transport 1D
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04 Initial Conditions and Boundary Conditions 26 of 30
04 Initial Conditions and Boundary Conditions
NPRE 555 Reactor Theory I This video covers initial and boundary conditions commonly used when solving the neutron transport equation.04 Initial Conditions and Boundary Conditions
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NPRE 555 Reactor Theory I This video covers various terms and definitions required to formulate the neutron transport equation.
03 Transport Equation Terms
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NPRE 555 - Reactor Theory I Variable definitions, geometric definitions, fundamental concepts.
02 Assumptions and Definitions
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NPRE 555 Reactor Theory I. Video introducing neutron transport and its applications.
01 Transport Background
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A rundown of basic python syntax and use to support students in NPRE 555
Python Basics
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