Mathematical Topics In Neutron Transport Theory: New Aspects

Mathematical Topics In Neutron Transport Theory: New Aspects
Author: Mustapha Mokhtar Kharroubi
Publisher: World Scientific
Total Pages: 372
Release: 1997-12-18
Genre: Science
ISBN: 981449819X

This book presents some recent mathematical developments about neutron transport equations. Several different topics are dealt with including regularity of velocity averages, spectral analysis of transport operators, inverse problems, nonlinear problems arising in the stochastic theory of neutron chain fissions, compactness properties of perturbed of c0-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of c0-semigroups in Banach spaces with applications to singular transport equations, a thorough analysis of the leading eigenelements of transport operators and their approximation, scattering theory. Besides the new problems addressed in this book a unification and extension of the classical spectral analysis of neutron transport equations is given.

Fractional Calculus with Applications for Nuclear Reactor Dynamics

Fractional Calculus with Applications for Nuclear Reactor Dynamics
Author: Santanu Saha Ray
Publisher: CRC Press
Total Pages: 232
Release: 2015-07-29
Genre: Mathematics
ISBN: 149872728X

Introduces Novel Applications for Solving Neutron Transport EquationsWhile deemed nonessential in the past, fractional calculus is now gaining momentum in the science and engineering community. Various disciplines have discovered that realistic models of physical phenomenon can be achieved with fractional calculus and are using them in numerous way

Handbook of Nuclear Engineering

Handbook of Nuclear Engineering
Author: Dan Gabriel Cacuci
Publisher: Springer Science & Business Media
Total Pages: 3701
Release: 2010-09-14
Genre: Science
ISBN: 0387981306

This is an authoritative compilation of information regarding methods and data used in all phases of nuclear engineering. Addressing nuclear engineers and scientists at all levels, this book provides a condensed reference on nuclear engineering since 1958.

The Physics of Nuclear Reactors

The Physics of Nuclear Reactors
Author: Serge Marguet
Publisher: Springer
Total Pages: 1462
Release: 2018-02-26
Genre: Science
ISBN: 3319595601

This comprehensive volume offers readers a progressive and highly detailed introduction to the complex behavior of neutrons in general, and in the context of nuclear power generation. A compendium and handbook for nuclear engineers, a source of teaching material for academic lecturers as well as a graduate text for advanced students and other non-experts wishing to enter this field, it is based on the author’s teaching and research experience and his recognized expertise in nuclear safety. After recapping a number of points in nuclear physics, placing the theoretical notions in their historical context, the book successively reveals the latest quantitative theories concerning: • The slowing-down of neutrons in matter • The charged particles and electromagnetic rays • The calculation scheme, especially the simplification hypothesis • The concept of criticality based on chain reactions • The theory of homogeneous and heterogeneous reactors • The problem of self-shielding • The theory of the nuclear reflector, a subject largely ignored in literature • The computational methods in transport and diffusion theories Complemented by more than 400 bibliographical references, some of which are commented and annotated, and augmented by an appendix on the history of reactor physics at EDF (Electricité De France), this book is the most comprehensive and up-to-date introduction to and reference resource in neutronics and reactor theory.

Classical and Modern Numerical Analysis

Classical and Modern Numerical Analysis
Author: Azmy S. Ackleh
Publisher: CRC Press
Total Pages: 628
Release: 2009-07-20
Genre: Mathematics
ISBN: 1420091581

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o

Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation

Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation
Author: Liangzhi Cao
Publisher: Woodhead Publishing
Total Pages: 294
Release: 2020-08-30
Genre: Technology & Engineering
ISBN: 0128182229

Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation presents the latest deterministic numerical methods for neutron transport equations (NTEs) with complex geometry, which are of great demand in recent years due to the rapid development of advanced nuclear reactor concepts and high-performance computational technologies. This book covers the wellknown methods proposed and used in recent years, not only theoretical modeling but also numerical results. This book provides readers with a very thorough understanding of unstructured neutron transport calculations and enables them to develop their own computational codes. The fundamentals, numerical discretization methods, algorithms, and numerical results are discussed. Researchers and engineers from utilities and research institutes are provided with examples on how to model an advanced nuclear reactor, which they can then apply to their own research projects and lab settings. - Combines the theoretical models with numerical methods and results in one complete resource - Presents the latest progress on the topic in an easy-to-navigate format

Monte Carlo Methods for Particle Transport

Monte Carlo Methods for Particle Transport
Author: Alireza Haghighat
Publisher: CRC Press
Total Pages: 279
Release: 2020-08-09
Genre: Mathematics
ISBN: 042958220X

Fully updated with the latest developments in the eigenvalue Monte Carlo calculations and automatic variance reduction techniques and containing an entirely new chapter on fission matrix and alternative hybrid techniques. This second edition explores the uses of the Monte Carlo method for real-world applications, explaining its concepts and limitations. Featuring illustrative examples, mathematical derivations, computer algorithms, and homework problems, it is an ideal textbook and practical guide for nuclear engineers and scientists looking into the applications of the Monte Carlo method, in addition to students in physics and engineering, and those engaged in the advancement of the Monte Carlo methods. Describes general and particle-transport-specific automated variance reduction techniques Presents Monte Carlo particle transport eigenvalue issues and methodologies to address these issues Presents detailed derivation of existing and advanced formulations and algorithms with real-world examples from the author’s research activities

Computational Methods For Two-phase Flow And Particle Transport (With Cd-rom)

Computational Methods For Two-phase Flow And Particle Transport (With Cd-rom)
Author: Wen Ho Lee
Publisher: World Scientific Publishing Company
Total Pages: 471
Release: 2013-03-22
Genre: Technology & Engineering
ISBN: 981446029X

This book describes mathematical formulations and computational methods for solving two-phase flow problems with a computer code that calculates thermal hydraulic problems related to light water and fast breeder reactors. The physical model also handles the particle and gas flow problems that arise from coal gasification and fluidized beds. The second part of this book deals with the computational methods for particle transport.