Numerical Methods Of Reactor Analysis

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Numerical Methods of Reactor Analysis

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Author : Melville Jr. Clark
Publisher : Elsevier
ISBN 13 : 0323154670
Total Pages : 353 pages
Book Rating : 4.3/5 (231 download)

Book Synopsis Numerical Methods of Reactor Analysis by : Melville Jr. Clark

Download or read book Numerical Methods of Reactor Analysis written by Melville Jr. Clark and published by Elsevier. This book was released on 2012-12-02 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear Science and Technology, Volume 3: Numerical Methods of Reactor Analysis presents the numerical analysis frequently used in the nuclear reactor field. This book discusses the numerical approximation for the multigroup diffusion method, which results in simple algebraic equations. Organized into six chapters, this volume starts with an overview of the simplified formulation of linear algebra by defining the matrices and operations with matrices. This text then discusses the properties of special matrices and reviews the elementary properties of finite difference equations. Other chapters consider a variety of methods of obtaining numerical solutions to the approximating equations. The final chapter deals with Monte Carlo method, which is a statistical method for solving statistical or deterministic problems. This book is a valuable resource for nuclear engineers. Students at the graduate level who had an introductory course in reactor physics and a basic course in differential equations will also find this book useful.

Numerical Methods of Reactor Analysis [by] Melville Clark, Jr. [and] Kent F. Hansen

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Author : Melville Clark
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (976 download)

Book Synopsis Numerical Methods of Reactor Analysis [by] Melville Clark, Jr. [and] Kent F. Hansen by : Melville Clark

Download or read book Numerical Methods of Reactor Analysis [by] Melville Clark, Jr. [and] Kent F. Hansen written by Melville Clark and published by . This book was released on 1964 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods in the Theory of Neutron Transport

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Author : Guriĭ Ivanovich Marchuk
Publisher : Harwood Academic Publishers
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Numerical Methods in the Theory of Neutron Transport by : Guriĭ Ivanovich Marchuk

Download or read book Numerical Methods in the Theory of Neutron Transport written by Guriĭ Ivanovich Marchuk and published by Harwood Academic Publishers. This book was released on 1986 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Reactor Analysis

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Author : James J. Duderstadt
Publisher : Wiley
ISBN 13 : 9780471223634
Total Pages : 0 pages
Book Rating : 4.2/5 (236 download)

Book Synopsis Nuclear Reactor Analysis by : James J. Duderstadt

Download or read book Nuclear Reactor Analysis written by James J. Duderstadt and published by Wiley. This book was released on 1991-01-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic textbook for an introductory course in nuclear reactor analysis that introduces the nuclear engineering student to the basic scientific principles of nuclear fission chain reactions and lays a foundation for the subsequent application of these principles to the nuclear design and analysis of reactor cores. This text introduces the student to the fundamental principles governing nuclear fission chain reactions in a manner that renders the transition to practical nuclear reactor design methods most natural. The authors stress throughout the very close interplay between the nuclear analysis of a reactor core and those nonnuclear aspects of core analysis, such as thermal-hydraulics or materials studies, which play a major role in determining a reactor design.

High Resolution Numerical Methods for Coupled Non-linear Multi-physics Simulations with Applications in Reactor Analysis

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Author : Vijay Subramaniam Mahadevan
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (76 download)

Book Synopsis High Resolution Numerical Methods for Coupled Non-linear Multi-physics Simulations with Applications in Reactor Analysis by : Vijay Subramaniam Mahadevan

Download or read book High Resolution Numerical Methods for Coupled Non-linear Multi-physics Simulations with Applications in Reactor Analysis written by Vijay Subramaniam Mahadevan and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The modeling of nuclear reactors involves the solution of a multi-physics problem with widely varying time and length scales. This translates mathematically to solving a system of coupled, non-linear, and stiff partial differential equations (PDEs). Multi-physics applications possess the added complexity that most of the solution fields participate in various physics components, potentially yielding spatial and/or temporal coupling errors. This dissertation deals with the verification aspects associated with such a multi-physics code, i.e., the substantiation that the mathematical description of the multi-physics equations are solved correctly (both in time and space). Conventional paradigms used in reactor analysis problems employed to couple various physics components are often non-iterative and can be inconsistent in their treatment of the non-linear terms. This leads to the usage of smaller time steps to maintain stability and accuracy requirements, thereby increasing the overall computational time for simulation. The inconsistencies of these weakly coupled solution methods can be overcome using tighter coupling strategies and yield a better approximation to the coupled non-linear operator, by resolving the dominant spatial and temporal scales involved in the multi-physics simulation. A multi-physics framework, KARMA (K(c)ode for Analysis of Reactor and other Multi-physics Applications), is presented. KARMA uses tight coupling strategies for various physical models based on a Matrix-free Nonlinear-Krylov (MFNK) framework in order to attain high-order spatio-temporal accuracy for all solution fields in amenable wall clock times, for various test problems. The framework also utilizes traditional loosely coupled methods as lower-order solvers, which serve as efficient preconditioners for the tightly coupled solution. Since the software platform employs both lower and higher-order coupling strategies, it can easily be used to test and evaluate different coupling strategies and numerical methods and to compare their efficiency for problems of interest. Multi-physics code verification efforts pertaining to reactor applications are described and associated numerical results obtained using the developed multi-physics framework are provided. The versatility of numerical methods used here for coupled problems and feasibility of general non-linear solvers with appropriate physics-based preconditioners in the KARMA framework offer significantly efficient techniques to solve multi-physics problems in reactor analysis.

Fractional-Order Models for Nuclear Reactor Analysis

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

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

Chemical Reactor Design

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Author : Juan A. Conesa
Publisher : John Wiley & Sons
ISBN 13 : 3527346309
Total Pages : 350 pages
Book Rating : 4.5/5 (273 download)

Book Synopsis Chemical Reactor Design by : Juan A. Conesa

Download or read book Chemical Reactor Design written by Juan A. Conesa and published by John Wiley & Sons. This book was released on 2019-12-04 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the technical and calculation problems of chemical reactor analysis, scale-up, catalytic and biochemical reactor design Chemical Reactor Design offers a guide to the myriad aspects of reactor design including the use of numerical methods for solving engineering problems. The author - a noted expert on the topic - explores the use of transfer functions to study residence time distributions, convolution and deconvolution curves for reactor characterization, forced-unsteady-state-operation, scale-up of chemical reactors, industrial catalysis, design of multiphasic reactors, biochemical reactors design, as well as the design of multiphase gas-liquid-solid reactors. Chemical Reactor Design contains several examples of calculations and it gives special emphasis on the numerical solutions of differential equations by using the finite differences approximation, which offers the background information for understanding other more complex methods. The book is designed for the chemical engineering academic community and includes case studies on mathematical modeling by using of MatLab software. This important book: - Offers an up-to-date insight into the most important developments in the field of chemical, catalytic, and biochemical reactor engineering - Contains new aspects such as the use of numerical methods for solving engineering problems, transfer functions to study residence time distributions, and more - Includes illustrative case studies on MatLab approach, with emphasis on numerical solution of differential equations using the finite differences approximation Written for chemical engineers, mechanical engineers, chemists in industry, complex chemists, bioengineers, and process engineers, Chemical Reactor Design addresses the technical and calculation problems of chemical reactor analysis, scale-up, as well as catalytic and biochemical reactor design.

Fractional Calculus with Applications for Nuclear Reactor Dynamics

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Author : Santanu Saha Ray
Publisher : CRC Press
ISBN 13 : 149872728X
Total Pages : 232 pages
Book Rating : 4.4/5 (987 download)

Book Synopsis Fractional Calculus with Applications for Nuclear Reactor Dynamics by : Santanu Saha Ray

Download or read book Fractional Calculus with Applications for Nuclear Reactor Dynamics written by Santanu Saha Ray and published by CRC Press. This book was released on 2015-07-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Numerical Methods for Nuclear Reactor Calculations

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Author : Guriĭ Ivanovich Marchuk
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Numerical Methods for Nuclear Reactor Calculations by : Guriĭ Ivanovich Marchuk

Download or read book Numerical Methods for Nuclear Reactor Calculations written by Guriĭ Ivanovich Marchuk and published by . This book was released on 1959 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for the Reactor Kinetics Equations

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Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (911 download)

Book Synopsis Numerical Methods for the Reactor Kinetics Equations by :

Download or read book Numerical Methods for the Reactor Kinetics Equations written by and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation

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Author : Liangzhi Cao
Publisher : Woodhead Publishing
ISBN 13 : 0128182229
Total Pages : 294 pages
Book Rating : 4.1/5 (281 download)

Book Synopsis Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation by : Liangzhi Cao

Download or read book Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation written by Liangzhi Cao and published by Woodhead Publishing. This book was released on 2020-08-30 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Introduction to Chemical Reactor Analysis

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Author : R.E. Hayes
Publisher : CRC Press
ISBN 13 : 1466580534
Total Pages : 563 pages
Book Rating : 4.4/5 (665 download)

Book Synopsis Introduction to Chemical Reactor Analysis by : R.E. Hayes

Download or read book Introduction to Chemical Reactor Analysis written by R.E. Hayes and published by CRC Press. This book was released on 2012-10-05 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Chemical Reactor Analysis, Second Edition introduces the basic concepts of chemical reactor analysis and design, an important foundation for understanding chemical reactors, which play a central role in most industrial chemical plants. The scope of the second edition has been significantly enhanced and the content reorganized for improved pedagogical value, containing sufficient material to be used as a text for an undergraduate level two-term course. This edition also contains five new chapters on catalytic reaction engineering. Written so that newcomers to the field can easily progress through the topics, this text provides sufficient knowledge for readers to perform most of the common reaction engineering calculations required for a typical practicing engineer. The authors introduce kinetics, reactor types, and commonly used terms in the first chapter. Subsequent chapters cover a review of chemical engineering thermodynamics, mole balances in ideal reactors for three common reactor types, energy balances in ideal reactors, and chemical reaction kinetics. The text also presents an introduction to nonideal reactors, and explores kinetics and reactors in catalytic systems. The book assumes that readers have some knowledge of thermodynamics, numerical methods, heat transfer, and fluid flow. The authors include an appendix for numerical methods, which are essential to solving most realistic problems in chemical reaction engineering. They also provide numerous worked examples and additional problems in each chapter. Given the significant number of chemical engineers involved in chemical process plant operation at some point in their careers, this book offers essential training for interpreting chemical reactor performance and improving reactor operation. What’s New in This Edition: Five new chapters on catalytic reaction engineering, including various catalytic reactions and kinetics, transport processes, and experimental methods Expanded coverage of adsorption Additional worked problems Reorganized material

Numerical Methods for Reactor Kinetics Problems

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Author : Gaston Dubois
Publisher :
ISBN 13 :
Total Pages : 902 pages
Book Rating : 4.:/5 (21 download)

Book Synopsis Numerical Methods for Reactor Kinetics Problems by : Gaston Dubois

Download or read book Numerical Methods for Reactor Kinetics Problems written by Gaston Dubois and published by . This book was released on 1975 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods in Reactor Shielding

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Author : James Wood
Publisher : Elsevier
ISBN 13 : 1483148130
Total Pages : 450 pages
Book Rating : 4.4/5 (831 download)

Book Synopsis Computational Methods in Reactor Shielding by : James Wood

Download or read book Computational Methods in Reactor Shielding written by James Wood and published by Elsevier. This book was released on 2013-10-22 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Reactor Shielding deals with the mathematical processes involved in how to effectively control the dangerous effect of nuclear radiation. Reactor shielding is considered an important aspect in the operation of reactor systems to ensure the safety of personnel and others that can be directly or indirectly affected. Composed of seven chapters, the book discusses ionizing radiation and how it aids in the control and containment of radioactive substances that are considered harmful to all living things. The text also outlines the necessary radiation quantities and units that are needed for a systemic control of shielding and presents an examination of the main sources of nuclear radiation. A discussion of the gamma photon cross sections and an introduction to BMIX, a computer program used in illustrating a technique in identifying the gamma ray build-up factor for a reactor shield, are added. The selection also discusses various mathematical representations and areas of shielding theory that are being used in radiation shielding. The book is of great value to those involved in the development and implementation of systems to minimize and control the dangerous and lethal effect of radiation.

Off-critical Reactor Theory

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Author : B. H. Duane
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Off-critical Reactor Theory by : B. H. Duane

Download or read book Off-critical Reactor Theory written by B. H. Duane and published by . This book was released on 1959 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Linear Control Systems

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Author : Biswa Datta
Publisher : Elsevier
ISBN 13 : 008053788X
Total Pages : 736 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis Numerical Methods for Linear Control Systems by : Biswa Datta

Download or read book Numerical Methods for Linear Control Systems written by Biswa Datta and published by Elsevier. This book was released on 2004-02-24 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. - Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions - Background material in linear algebra, numerical linear algebra, and control theory included in text - Step-by-step explanations of the algorithms and examples

Numerical Methods in the Theory of Neutron Transport

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Author : Guriĭ Ivanovich Marchuk
Publisher : Harwood Academic Publishers
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.:/5 (43 download)

Book Synopsis Numerical Methods in the Theory of Neutron Transport by : Guriĭ Ivanovich Marchuk

Download or read book Numerical Methods in the Theory of Neutron Transport written by Guriĭ Ivanovich Marchuk and published by Harwood Academic Publishers. This book was released on 1986 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: