Mathematical Modeling Of Neutron Transport

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Mathematical Modeling of Neutron Transport

Author : Milan Hanus
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783844301212
Total Pages : 156 pages
Book Rating : 4.3/5 (12 download)

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Book Synopsis Mathematical Modeling of Neutron Transport by : Milan Hanus

Download or read book Mathematical Modeling of Neutron Transport written by Milan Hanus and published by LAP Lambert Academic Publishing. This book was released on 2011-02 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent renaissance of nuclear industry came along with a renewed interest in basic research and development activities in the field. Aiming at one of the most fundamental topics, this book takes a look at neutron transport from the viewpoint of computational mathematics. Mathematical basis of the theory is established first, including the rigorous setting of two main problems of steady-state neutron transport - the core criticality and fixed source calculations. Discretization of the governing equation with respect to energy, direction of motion and space is described next, leading to a numerical method readily programmable on a computer. An important factor guiding the selection of presented methods has been their simple applicability to enhancing existing diffusion codes which, may no longer be suitable for solving current problems with more significant transport effects. The multigroup SP3 finite volume method is derived in detail and practically demonstrated on numerical benchmarks at the end. The book may be very useful to researchers facing the task to upgrade a legacy diffusion code, but may also well serve as a concise overview of modern transport-theoretical techniques.

Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models

Author : Vishwesh Vyawahare
Publisher : Springer
ISBN 13 : 9811075875
Total Pages : 210 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models by : Vishwesh Vyawahare

Download or read book Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models written by Vishwesh Vyawahare and published by Springer. This book was released on 2018-02-03 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems. Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.

Mathematical Topics In Neutron Transport Theory: New Aspects

Author : Mustapha Mokhtar Kharroubi
Publisher : World Scientific
ISBN 13 : 981449819X
Total Pages : 372 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Mathematical Topics In Neutron Transport Theory: New Aspects by : Mustapha Mokhtar Kharroubi

Download or read book Mathematical Topics In Neutron Transport Theory: New Aspects written by Mustapha Mokhtar Kharroubi and published by World Scientific. This book was released on 1997-12-18 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Methods of Neutron Transport

Author : Elmer Eugene Lewis
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computational Methods of Neutron Transport by : Elmer Eugene Lewis

Download or read book Computational Methods of Neutron Transport written by Elmer Eugene Lewis and published by Wiley-Interscience. This book was released on 1984 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Topics in Neutron Transport Theory

Author : M. Mokhtar-Kharroubi
Publisher : World Scientific
ISBN 13 : 9789810228699
Total Pages : 372 pages
Book Rating : 4.2/5 (286 download)

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Book Synopsis Mathematical Topics in Neutron Transport Theory by : M. Mokhtar-Kharroubi

Download or read book Mathematical Topics in Neutron Transport Theory written by M. Mokhtar-Kharroubi and published by World Scientific. This book was released on 1997 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 0-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.

Mathematical Models for Volume Rendering and Neutron Transport

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (88 download)

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Book Synopsis Mathematical Models for Volume Rendering and Neutron Transport by :

Download or read book Mathematical Models for Volume Rendering and Neutron Transport written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neutron Transport

Author : Ramadan M. Kuridan
Publisher : Springer Nature
ISBN 13 : 3031269322
Total Pages : 284 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Neutron Transport by : Ramadan M. Kuridan

Download or read book Neutron Transport written by Ramadan M. Kuridan and published by Springer Nature. This book was released on 2023-10-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a thorough explanation of the physical concepts and presents the general theory of different forms through approximations of the neutron transport processes in nuclear reactors and emphasize the numerical computing methods that lead to the prediction of neutron behavior. Detailed derivations and thorough discussions are the prominent features of this book unlike the brevity and conciseness which are the characteristic of most available textbooks on the subject where students find them difficult to follow. This conclusion has been reached from the experience gained through decades of teaching. The topics covered in this book are suitable for senior undergraduate and graduate students in the fields of nuclear engineering and physics. Other engineering and science students may find the construction and methodology of tackling problems as presented in this book appealing from which they can benefit in solving other problems numerically. The book provides access to a one dimensional, two energy group neutron diffusion program including a user manual, examples, and test problems for student practice. An option of a Matlab user interface is also available.

Mathematical Methods in Particle Transport Theory

Author : Michael Maurice Rudolph Williams
Publisher : Butterworths
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis Mathematical Methods in Particle Transport Theory by : Michael Maurice Rudolph Williams

Download or read book Mathematical Methods in Particle Transport Theory written by Michael Maurice Rudolph Williams and published by Butterworths. This book was released on 1971 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Neutron Transport Theory

Author : J. H. Tait
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Neutron Transport Theory by : J. H. Tait

Download or read book An Introduction to Neutron Transport Theory written by J. H. Tait and published by . This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monte Carlo Principles and Neutron Transport Problems

Author : Jerome Spanier
Publisher : Courier Corporation
ISBN 13 : 0486462935
Total Pages : 258 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Monte Carlo Principles and Neutron Transport Problems by : Jerome Spanier

Download or read book Monte Carlo Principles and Neutron Transport Problems written by Jerome Spanier and published by Courier Corporation. This book was released on 2008-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part treatment introduces the general principles of the Monte Carlo method within a unified mathematical point of view, applying them to problems in neutron transport. It describes several efficiency-enhancing approaches, including the method of superposition and simulation of the adjoint equation based on reciprocity. The first half of the book presents an exposition of the fundamentals of Monte Carlo methods, examining discrete and continuous random walk processes and standard variance reduction techniques. The second half of the text focuses directly on the methods of superposition and reciprocity, illustrating their applications to specific neutron transport problems. Topics include the computation of thermal neutron fluxes and the superposition principle in resonance escape computations.

Nuclear Engineering

Author : Zafar Ullah Koreshi
Publisher : Academic Press
ISBN 13 : 0323908314
Total Pages : 549 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Nuclear Engineering by : Zafar Ullah Koreshi

Download or read book Nuclear Engineering written by Zafar Ullah Koreshi and published by Academic Press. This book was released on 2022-03-23 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear Engineering Mathematical Modeling and Simulation presents the mathematical modeling of neutron diffusion and transport. Aimed at students and early career engineers, this highly practical and visual resource guides the reader through computer simulations using the Monte Carlo Method which can be applied to a variety of applications, including power generation, criticality assemblies, nuclear detection systems, and nuclear medicine to name a few. The book covers optimization in both the traditional deterministic framework of variational methods and the stochastic framework of Monte Carlo methods. Specific sections cover the fundamentals of nuclear physics, computer codes used for neutron and photon radiation transport simulations, applications of analyses and simulations, optimization techniques for both fixed-source and multiplying systems, and various simulations in the medical area where radioisotopes are used in cancer treatment. Provides a highly visual and practical reference that includes mathematical modeling, formulations, models and methods throughout Includes all current major computer codes, such as ANISN, MCNP and MATLAB for user coding and analysis Guides the reader through simulations for the design optimization of both present-day and future nuclear systems

Mathematical Modeling

Author : Li︠u︡dmila Aleksandrovna Uvarova
Publisher : Springer Science & Business Media
ISBN 13 : 9780306466649
Total Pages : 308 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Mathematical Modeling by : Li︠u︡dmila Aleksandrovna Uvarova

Download or read book Mathematical Modeling written by Li︠u︡dmila Aleksandrovna Uvarova and published by Springer Science & Business Media. This book was released on 2001-12-31 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains review articles and original results in problems and methods of mathematical simulation and their applications in various fields. The articles included are based on the reports that were presented at the Fourth International Mathematical Modeling Conference (Moscow, Russia, June 27 - July 1, 2000). The book is intended for specialists, as well as for post-graduates and students in the areas of mathematical modeling, algorithms and computational theory, mathematical physics, discrete mathematics, physics, physical chemistry, transfer theory, and economics.

Mathematical methods in neutron transport theory

Author : P.M. Blackall
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (99 download)

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Book Synopsis Mathematical methods in neutron transport theory by : P.M. Blackall

Download or read book Mathematical methods in neutron transport theory written by P.M. Blackall and published by . This book was released on 1956 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional-Order Models for Nuclear Reactor Analysis

Author : Gilberto Espinosa Paredes
Publisher : Woodhead Publishing
ISBN 13 : 0128236663
Total Pages : 404 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Fractional-Order Models for Nuclear Reactor Analysis by : Gilberto Espinosa Paredes

Download or read book Fractional-Order Models for Nuclear Reactor Analysis written by Gilberto Espinosa Paredes and published by Woodhead Publishing. This book was released on 2020-10-22 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional-Order Models for Nuclear Reactor Analysis presents fractional modeling issues in the context of anomalous diffusion processes in an accessible and practical way. The book emphasizes the importance of non-Fickian diffusion in heterogeneous systems as the core of the nuclear reactor, as well as different variations of diffusion processes in nuclear reactors which are presented to establish the importance of nuclear and thermohydraulic phenomena and the physical side effects of feedback. In addition, the book analyzes core issues in fractional modeling in nuclear reactors surrounding phenomenological description and important analytical sub-diffusive processes in the transport neutron. Users will find the most innovative modeling techniques of nuclear reactors using operator differentials of fractional order and applications in nuclear design and reactor dynamics. Proposed methods are tested with Boltzmann equations and non-linear order models alongside real data from nuclear power plants, making this a valuable resource for nuclear professionals, researchers and graduate students, as well as those working in nuclear research centers with expertise in mathematical modeling, physics and control. Presents and analyzes a new paradigm of nuclear reactor phenomena with fractional modeling Considers principles of fractional calculation, methods of solving differential equations of fractional order, and their applications Includes methodologies of linear and nonlinear analysis, along with design and dynamic analyses

Boundary Value Problems for Transport Equations

Author : Valeri Agoshkov
Publisher : Springer Science & Business Media
ISBN 13 : 1461219949
Total Pages : 295 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Boundary Value Problems for Transport Equations by : Valeri Agoshkov

Download or read book Boundary Value Problems for Transport Equations written by Valeri Agoshkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].

MATHEMATICAL MODELS – Volume II

Author : Jerzy A. Filar
Publisher : EOLSS Publications
ISBN 13 : 1848262434
Total Pages : 510 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis MATHEMATICAL MODELS – Volume II by : Jerzy A. Filar

Download or read book MATHEMATICAL MODELS – Volume II written by Jerzy A. Filar and published by EOLSS Publications. This book was released on 2009-09-19 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Neutron Diffusion

Author : S. Chakraverty
Publisher : CRC Press
ISBN 13 : 1351667505
Total Pages : 216 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Neutron Diffusion by : S. Chakraverty

Download or read book Neutron Diffusion written by S. Chakraverty and published by CRC Press. This book was released on 2017-04-21 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty. This will serve to be a benchmark book for graduate & postgraduate students, teachers, engineers and researchers throughout the globe. In view of the recent developments in nuclear engineering, it is important to study the basic concepts of this field along with the diffusion processes for nuclear reactor design. Also, it is known that uncertainty is a must in every field of engineering and science and, in particular, with regards to nuclear-related problems. As such, one may need to understand the nuclear diffusion principles/theories corresponding with reliable and efficient techniques for the solution of such uncertain problems. Accordingly this book aims to provide a new direction for readers with basic concepts of reactor physics as well as neutron diffusion theory. On the other hand, it also includes uncertainty (in terms of fuzzy, interval, stochastic) and their applications in nuclear diffusion problems in a systematic manner, along with recent developments. The underlying concepts of the presented methods in this book may very well be used/extended to various other engineering disciplines viz. electronics, marine, chemical, mining engineering and other sciences such as physics, chemistry, biotechnology etc. This book then can be widely applied wherever one wants to model their physical problems in terms of non-probabilistic methods viz. fuzzy/stochastic for the true essence of the real problems.