2007Unpublished venueRequires access

Nodal and Synthesis Methods

Weston M. Stacey

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Abstract

This chapter contains sections titled: General Nodal Formalism Conventional Nodal Methods Transverse Integrated Nodal Diffusion Theory Methods Transverse Integrated Equations Polynomial Expansion Methods Analytical Methods Heterogeneous Flux Reconstruction Transverse Integrated Nodal Integral Transport Theory Models Transverse Integrated Integral Transport Equations Polynomial Expansion of Scalar Flux Isotropic Component of Transverse Leakage Double-Pn Expansion of Surface Fluxes Angular Moments of Outgoing Surface Fluxes Nodal Transport Equations Transverse Integrated Nodal Discrete Ordinates Method Finite-Element Coarse Mesh Methods Variational Functional for the P1 Equations One-Dimensional Finite-Difference Approximation Diffusion Theory Variational Functional Linear Finite-Element Diffusion Approximation in One Dimension Higher-Order Cubic Hermite Coarse-Mesh Diffusion Approximation Multidimensional Finite-Element Coarse-Mesh Methods Variational Discrete Ordinates Nodal Method Variational Principle Application of the Method Variational Principle for Multigroup Diffusion Theory Single-Channel Spatial Synthesis Multichannel Spatial Synthesis Spectral Synthesis

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What this paper is about

This chapter contains sections titled: General Nodal Formalism Conventional Nodal Methods Transverse Integrated Nodal Diffusion Theory Methods Transverse Integrated Equations Polynomial Expansion Methods Analytical Methods Heterogeneous Flux Reconstruction Transverse Integrated Nodal Integral Transport Theory Models Transverse Integrated Integral Transport Equations Polynomial Expansion of Scalar Flux Isotropic Component of Transverse Leakage Double-Pn Expansion of Surface Fluxes Angular Moments of Outgoing Surface Fluxes Nodal Transport Equations Transverse Integrated Nodal Discrete Ordinates Method Finite-Element Coarse Mesh Methods Variational Functional for the P1 Equations One-Dimensional Finite-Difference Approximation Diffusion Theory Variational Functional Linear Finite-Element Diffusion Approximation in One Dimension Higher-Order Cubic Hermite Coarse-Mesh Diffusion Approximation Multidimensional Finite-Element Coarse-Mesh Methods Variational Discrete Ordinates Nodal Method Variational Principle Application of the Method Variational Principle for Multigroup Diffusion Theory Single-Channel Spatial Synthesis Multichannel Spatial Synthesis Spectral Synthesis

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Available abstract

This chapter contains sections titled: General Nodal Formalism Conventional Nodal Methods Transverse Integrated Nodal Diffusion Theory Methods Transverse Integrated Equations Polynomial Expansion Methods Analytical Methods Heterogeneous Flux Reconstruction Transverse Integrated Nodal Integral Transport Theory Models Transverse Integrated Integral Transport Equations Polynomial Expansion of Scalar Flux Isotropic Component of Transverse Leakage Double-Pn Expansion of Surface Fluxes Angular Moments of Outgoing Surface Fluxes Nodal Transport Equations Transverse Integrated Nodal Discrete Ordinates Method Finite-Element Coarse Mesh Methods Variational Functional for the P1 Equations One-Dimensional Finite-Difference Approximation Diffusion Theory Variational Functional Linear Finite-Element Diffusion Approximation in One Dimension Higher-Order Cubic Hermite Coarse-Mesh Diffusion Approximation Multidimensional Finite-Element Coarse-Mesh Methods Variational Discrete Ordinates Nodal Method Variational Principle Application of the Method Variational Principle for Multigroup Diffusion Theory Single-Channel Spatial Synthesis Multichannel Spatial Synthesis Spectral Synthesis

Key concepts: Modified nodal analysis, Finite element method, Mathematical analysis, Transverse plane, Mathematics, Scalar (mathematics), Isotropy, Polynomial expansion

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