Deterministic numerical methods for unstructured mesh neutron transport calculation /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Cao, Liangzhi, Wu, Hongchun
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Duxford : Woodhead Publishing, 2020.
Colección:Woodhead Publishing in energy.
Temas:
Neutron transport theory > Mathematics.
Th�eorie du transport des neutrons > Math�ematiques.
Neutron transport theory > Mathematics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation
  • Copyright
  • Contents
  • Contributors
  • Foreword
  • Preface
  • Chapter 1: Neutron transport equation
  • 1.1. Introduction
  • 1.2. Definition of the ordinates and basic elements
  • 1.2.1. Coordinate system
  • 1.2.2. Neutron density, angular flux, and current
  • 1.3. First-order transport equation
  • 1.3.1. Derivation of the NTE
  • 1.3.2. Different forms of divergence operator
  • 1.3.3. Definite conditions
  • 1.4. Second-order transport equation
  • 1.4.1. Second-order even-parity neutron transport equation
  • 1.4.2. Second-order SAAF transport equation
  • 1.5. Integral form of transport equation
  • 1.6. Brief introduction to the numerical solution to NTE
  • 1.6.1. Eigenvalue problem and source iteration method
  • 1.6.2. Overview of approximate solution for neutron transport equation
  • 1.7. The adjoint transport equation
  • 1.7.1. Adjoint operator
  • 1.7.2. Adjoint neutron transport equation
  • 1.7.3. Neutron importance function
  • References
  • Chapter 2: Collision probability method
  • 2.1. Integral-form neutron transport equation
  • 2.2. Collision probability for solving NTE
  • 2.3. CPM calculation flowchart
  • 2.4. Collision probability evaluation
  • 2.5. Collision probability properties
  • References
  • Chapter 3: Transmission probability method for triangular meshes
  • 3.1. Basic equations
  • 3.2. Two-dimensional calculation
  • 3.2.1. Approximation
  • 3.2.2. Probability calculation
  • 3.2.3. Leakage probability calculation
  • 3.2.4. Transmission probability calculation
  • 3.2.5. Boundary conditions and unstructured-mesh sweeping
  • 3.3. Three-dimensional calculation
  • 3.3.1. Approximation
  • 3.3.2. Probability calculation
  • 3.3.3. Leakage probability calculation
  • 3.3.4. Transmission probability calculation
  • 3.3.5. Boundary conditions and unstructured-mesh sweeping
  • 3.4. Numerical results
  • 3.4.1. 2D problem
  • 3.4.2. 3D problem
  • References
  • Chapter 4: Current-coupled collision probability method
  • 4.1. Theory
  • 4.1.1. Introduction
  • 4.1.2. Discretization
  • 4.1.3. The coupling equations
  • 4.1.4. Response matrices
  • 4.2. Numerical results
  • 4.2.1. The problems of regular and irregular cells
  • 4.2.2. The 2D C5G7 problem
  • References
  • Chapter 5: The method of characteristics
  • 5.1. Basic equations
  • 5.2. Two-dimensional MOC
  • 5.2.1. Long ray tracing technique
  • 5.2.2. Modular ray tracing technique
  • 5.3. Three-dimensional MOC
  • 5.3.1. 3D modular ray tracing technique
  • 5.3.2. Angular quadrature sets
  • 5.3.3. Geometry pretreatment method
  • 5.4. 2D/1D fusion method
  • 5.4.1. Basic equations
  • 5.4.2. Potential negative total sources
  • 5.4.3. Traditional leakage splitting method
  • 5.4.4. The improved leakage splitting method
  • 5.5. Numerical results
  • 5.5.1. Irregular 2D geometric problem

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