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Contents

• Contents
• List of Tables
• List of Figures
• Neutronics
  • The multi-group equations
    • Introduction
    • The steady-state continuous energy diffusion equation
    • The multi-group approximation
      • Boundary conditions
      • Characteristics and accuracy
    • Determining group constants in heterogeneous reactors
    • Discretization of the multi-group diffusion equations
    • Mathematical properties of the discrete multi-group diffusion equations
      • Matrix form of the equations
      • Mathematical properties expressed using the matrix form
      • Consequences of a reordering of unknowns
    • Ordering of flux components
      • Ordering by node number
    • Calculating the power distribution
      • Calculating E_fiss
      • Local scale power distribution
    • Choosing a grid--Neutronics
  • Solving the generalized eigenvalue problem numerically
    • Introduction
    • The power method
    • The fractional iteration method
    • Solution of block-tri-diagonal systems
      • Inverting matrices using simple Gaussian elimination
  • Neutronics--Implementation
    • Introduction
    • Overview
    • Arrangement of source code--Contents of the different modules
    • The main procedure
    • Data structures
      • Simple data structures
      • struct NEUT
      • struct grid
      • struct csr1t
      • struct csft
      • struct csr2t
      • struct cross_section_refl_set
      • struct cross_section_fuel_set
      • struct btd
      • struct bd
      • struct block_tri_solu
    • Neutronics program input/output
      • Input description
      • Syntax for cross section files
      • Output description
  • Neutronics--Test results
    • Introduction
    • Test cases
    • Matlab functions
      • Preliminary tests--eigenvalue spectrum
      • Preliminary tests--power method and inverse power method
    • C-functions
      • Test of the power_method C-function
      • Test of the fractional_method C-function
      • Verification of the discretization--order investigation
      • Final verification--test against proven code
• Hydraulics
  • Primary coolant circulation loop
    • Core flow path,
    • Riser flow path,
    • Steam separator assembly,
    • Feedwater inlet flow path,
    • Downcomer flow path,
    • Lower plenum flow path,
    • Singular pressure changes
      • Sudden expansion
      • Sudden expansion
    • Overview of the primary coolant flow paths
  • Core flow modeling
    • Introduction
    • Flow boiling in a channel with subcooled inlet
    • Two-phase flow modeling
    • Zuber-Findlay notation
    • General conservation equations of separated flow
      • Interface conditions
      • Assumptions implicit in the conservation equations
    • Practical form of the conservation equations
    • Constitutive relations
      • Intrinsic
      • External
    • Review of the model
  • Core flow numerics
    • Introduction
    • Truncation error
    • Solving systems of non-linear equations
  • Core flow implementation
    • Introduction
    • The structure of the core flow implementation
      • Main calculational procedure, core_hydraulics
    • Implementing function-functions
      • The remedy--variable number of arguments
    • Calculating the point of void departure, z_d, iteratively
    • Grid generation
      • Grid points not influenced by a spacer
      • Grid points influenced by a spacer
  • Core flow tests
    • Semi-analytical test case
      • Theory
      • Test cases--description
      • Test cases--results
    • Order test
  • Primary coolant hydraulics implementation
    • Introduction
    • Calculation of the total recirculation mass flow rate,
    • Hydraulics input/output
      • Input
      • Output
• Core thermal analysis
  • Core thermal design model
    • Physical model of the heat transfer problem
    • Flow boiling heat transfer in rod bundles
      • Single-phase heat transfer
      • Onset of nucleate boiling
      • Saturated boiling heat transfer
      • Subcooled boiling heat transfer
  • Thermal design model--implementation
    • Flow charts of main procedures
    • Thermal design code input/output
      • Input
      • Output
• Coupled model--theory and application
  • Coupled neutronics thermal-hydraulics model
    • Overview
    • Implementation of the interface
      • Interpolation with cubic splines
      • Interpolation of q', and
      • Evaluating the nuclear cross sections
    • Solution of the coupled model
    • Running the full code
  • Test case description
    • Input for the neutronics calculation
    • Input for the hydraulics calculation
      • Elevational data
      • Riser specifications
      • Steam separator specifications
      • Specifications of downcomer flow paths
      • Specifications of the lower plenum flow path
      • Core plate loss coefficient
      • Core specifications
      • Other specifications
      • Input file for the hydraulics computation
    • Input for the thermal design calculation
  • Test case results
  • A little design study
  • Conclusion
  • Importance of kinetic and potential energies
  • Derivation of curve fits for the transport properties
    • Surface tension
    • Viscosity of water at saturation
    • Viscosity of steam at saturation
    • Thermal conductivity of water at saturation
    • Neglecting pressure dependence of and
  • Homogenized cross section files
    • (8 x 8) General Electric fuel element.
    • Top reflector.
    • Bottom reflector.
• Bibliography
• Index

 
 
 
 

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