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Applied Reactor Physics, 3rd ed.

Applied Reactor Physics, 3rd ed.

  • C1 AppliedReactorPhysics_3eED.pdf
  • ENE6101_final_15 octobre 2020.pdf
    • Introduction
    • Cross sections and nuclear data
      • Solid angles and spherical harmonics
      • Dealing with distributions
      • Dynamics of a scattering reaction
        • Collision of a neutron with a nucleus initially at rest
      • Definition of a cross section
      • Formation of a compound nucleus
        • The single level Breit-Wigner formulas
        • Low-energy variation of cross sections
      • Thermal agitation of nuclides and binding effects
        • Numerical convolution of cross sections
        • Convolution of Breit-Wigner cross sections
        • Convolution of a constant cross section
        • Convolution of the differential scattering cross section
        • Effects of molecular or metallic binding
      • Expansion of the differential cross sections
      • Calculation of the probability tables
      • Production of an isotopic cross-section library
        • Photo-atomic interaction data
        • Delayed neutron data
        • An overview of dragr
      • Exercises
    • The transport equation
      • The particle flux
      • Derivation of the transport equation
        • The characteristic form of the transport equation
        • The integral form of the transport equation
        • Boundary and continuity conditions
      • Source density in reactor physics
        • The steady-state source density
        • The transient source density
      • The transport correction
      • Multigroup discretization
        • Multigroup steady-state transport equation
        • Multigroup transient transport equation
      • The first-order streaming operator
        • Cartesian coordinate system
        • Cylindrical coordinate system
        • Spherical coordinate system
      • The spherical harmonics method
        • The Pn method in 1D slab geometry
        • The Pn method in 1D cylindrical geometry
        • The Pn method in 1D spherical geometry
        • The simplified Pn method in 2D Cartesian geometry
      • The collision probability method
        • The interface current method
        • Scattering-reduced matrices and power iteration
        • Slab geometry
        • Cylindrical 1D geometry
        • Spherical 1D geometry
        • Unstructured 2D finite geometry
      • The discrete ordinates method
        • Quadrature sets in the method of discrete ordinates
        • The difference relations in 1D slab geometry
        • The difference relations in 1D cylindrical geometry
        • The difference relations in 1D spherical geometry
        • The difference relations in 2D Cartesian geometry
        • Synthetic acceleration
      • The method of characteristics
        • The MOC integration strategy
        • Unstructured 2D finite geometry
        • The algebraic collapsing acceleration
      • The multigroup Monte Carlo method
        • Mathematical background
        • Rejection techniques
        • The random walk of a neutron
        • Criticality calculations
        • Monte Carlo reaction estimators
      • Exercises
    • Elements of lattice calculation
      • A historical overview
      • Neutron slowing-down and resonance self-shielding
        • Elastic slowing down
        • A review of resonance self-shielding approaches
        • The Livolant-Jeanpierre approximations
        • The physical probability tables
        • The statistical subgroup equations
        • The multigroup equivalence procedure
      • The neutron leakage model
        • The Bn leakage calculation
        • The homogeneous fundamental mode
        • The heterogeneous fundamental mode
        • Introduction of leakage rates in a lattice calculation
        • Introduction of leakage rates with collision probabilities
        • Full-core calculations in diffusion theory
        • Full-core calculations in transport theory
      • The SPH equivalence technique
        • Definition of the macro balance relations
        • Definition of the SPH factors
        • Iterative calculation of the SPH factors
      • Isotopic depletion
        • The power normalization
        • The saturation model
        • The integration factor method
        • Depletion of heavy isotopes
      • Creation of the reactor database
        • Selected information
        • Database information structure
      • A presentation of DRAGON
        • A DRAGON tutorial
      • Exercises
    • Full-core calculations
      • The steady-state diffusion equation
        • The Fick law
        • Continuity and boundary conditions
        • The finite homogeneous reactor
        • The heterogeneous 1D slab reactor
      • Discretization of the neutron diffusion equation
        • Mesh-corner finite differences
        • Mesh-centered finite differences
        • A primal variational formulation
        • The Lagrangian finite-element method
        • The analytic nodal method in 2D Cartesian geometry
      • Generalized perturbation theory
        • Mathematical background
        • State variables and reactor characteristics
        • Computing the Jacobian using the implicit approach
        • Computing the Jacobian using the explicit approach
      • Space-time kinetics
        • Point-kinetics equations
        • The implicit temporal scheme
        • The space-time implicit scheme
      • Exercises
    • Answers to Problems
    • Tracking of 1D and 2D geometries
      • Tracking of 1D slab geometries
      • Tracking of 1D cylindrical and spherical geometries
      • The theory behind sybt1d
      • Tracking of 2D square pincell geometries
      • The theory behind sybt2d
    • Special functions with Matlab
      • Function taben
      • Function akin
    • Numerical methods
      • Solution of a linear system
        • Gauss elimination
        • Cholesky factorization
        • QR factorization
        • Iterative approach
      • Solution of an eigenvalue problem
        • The inverse power method
        • The inverse power method without inversion
        • The preconditioned power method
        • The Hotelling deflation
        • The multigroup partitioning
        • Convergence acceleration
      • Solution of a fixed-source eigenvalue problem
        • The inverse power method
        • The preconditioned power method with variational acceleration
    • Bibliography
    • Index
  • C4 AppliedReactorPhysics_3eED.pdf

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