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Novel Parallel Numerical Methods For Radiation Neutron Transport
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Book Synopsis Novel Parallel Numerical Methods for Radiation & Neutron Transport by :
Download or read book Novel Parallel Numerical Methods for Radiation & Neutron Transport written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In many of the multiphysics simulations performed at LLNL, transport calculations can take up 30 to 50% of the total run time. If Monte Carlo methods are used, the percentage can be as high as 80%. Thus, a significant core competence in the formulation, software implementation, and solution of the numerical problems arising in transport modeling is essential to Laboratory and DOE research. In this project, we worked on developing scalable solution methods for the equations that model the transport of photons and neutrons through materials. Our goal was to reduce the transport solve time in these simulations by means of more advanced numerical methods and their parallel implementations. These methods must be scalable, that is, the time to solution must remain constant as the problem size grows and additional computer resources are used. For iterative methods, scalability requires that (1) the number of iterations to reach convergence is independent of problem size, and (2) that the computational cost grows linearly with problem size. We focused on deterministic approaches to transport, building on our earlier work in which we performed a new, detailed analysis of some existing transport methods and developed new approaches. The Boltzmann equation (the underlying equation to be solved) and various solution methods have been developed over many years. Consequently, many laboratory codes are based on these methods, which are in some cases decades old. For the transport of x-rays through partially ionized plasmas in local thermodynamic equilibrium, the transport equation is coupled to nonlinear diffusion equations for the electron and ion temperatures via the highly nonlinear Planck function. We investigated the suitability of traditional-solution approaches to transport on terascale architectures and also designed new scalable algorithms; in some cases, we investigated hybrid approaches that combined both.
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:
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:
Book Synopsis Neutron Transport by : Ramadan M. Kuridan
Download or read book Neutron Transport written by Ramadan M. Kuridan and published by Springer. This book was released on 2023-08-27 with total page 0 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.
Book Synopsis 107-1 Hearings: Energy And Water Development Appropriations For 2002, Part 6, May 3, 2001 by :
Download or read book 107-1 Hearings: Energy And Water Development Appropriations For 2002, Part 6, May 3, 2001 written by and published by . This book was released on 2001 with total page 1326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Book Synopsis Computational Methods in Transport by : Frank Graziani
Download or read book Computational Methods in Transport written by Frank Graziani and published by Springer Science & Business Media. This book was released on 2006-02-17 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thereexistawiderangeofapplicationswhereasigni?cantfractionofthe- mentum and energy present in a physical problem is carried by the transport of particles. Depending on the speci?capplication, the particles involved may be photons, neutrons, neutrinos, or charged particles. Regardless of which phenomena is being described, at the heart of each application is the fact that a Boltzmann like transport equation has to be solved. The complexity, and hence expense, involved in solving the transport problem can be understood by realizing that the general solution to the 3D Boltzmann transport equation is in fact really seven dimensional: 3 spatial coordinates, 2 angles, 1 time, and 1 for speed or energy. Low-order appro- mations to the transport equation are frequently used due in part to physical justi?cation but many in cases, simply because a solution to the full tra- port problem is too computationally expensive. An example is the di?usion equation, which e?ectively drops the two angles in phase space by assuming that a linear representation in angle is adequate. Another approximation is the grey approximation, which drops the energy variable by averaging over it. If the grey approximation is applied to the di?usion equation, the expense of solving what amounts to the simplest possible description of transport is roughly equal to the cost of implicit computational ?uid dynamics. It is clear therefore, that for those application areas needing some form of transport, fast, accurate and robust transport algorithms can lead to an increase in overall code performance and a decrease in time to solution.
Book Synopsis Numerical Methods for Neutron Transport Calculations of Nuclear Reactors by : Andrea Barbarino
Download or read book Numerical Methods for Neutron Transport Calculations of Nuclear Reactors written by Andrea Barbarino and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development Publisher : ISBN 13 : Total Pages :2032 pages Book Rating :4.F/5 ( download)
Book Synopsis Energy and Water Development Appropriations for 1999 by : United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development
Download or read book Energy and Water Development Appropriations for 1999 written by United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development and published by . This book was released on 1998 with total page 2032 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development Publisher : ISBN 13 : Total Pages :1260 pages Book Rating :4.0/5 (9 download)
Book Synopsis Energy and Water Development Appropriations for 2002: Department of Energy, Atomic Energy Defense activities by : United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development
Download or read book Energy and Water Development Appropriations for 2002: Department of Energy, Atomic Energy Defense activities written by United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development and published by . This book was released on 2001 with total page 1260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development Publisher : ISBN 13 : Total Pages :1890 pages Book Rating :4.0/5 (18 download)
Book Synopsis Energy and Water Development Appropriations for 1999: Secretary of Energy, Departmental administration by : United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development
Download or read book Energy and Water Development Appropriations for 1999: Secretary of Energy, Departmental administration written by United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development and published by . This book was released on 1998 with total page 1890 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some numerical methods for solving the neutron transport equation by : C. Budd
Download or read book Some numerical methods for solving the neutron transport equation written by C. Budd and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Family of Hybrid Parallel Block Jacobi-Type Iterative Methods & a Novel Green's Function Algorithm for Massively Parallel Solution of the Neutron Transport Equation on Unstructured Grids by : Dylan Scott Hoagland
Download or read book A Family of Hybrid Parallel Block Jacobi-Type Iterative Methods & a Novel Green's Function Algorithm for Massively Parallel Solution of the Neutron Transport Equation on Unstructured Grids written by Dylan Scott Hoagland and published by . This book was released on 2020 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development Publisher : ISBN 13 : Total Pages :1256 pages Book Rating :4.:/5 (7 download)
Book Synopsis Energy and Water Development Appropriations for 2002 by : United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development
Download or read book Energy and Water Development Appropriations for 2002 written by United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development and published by . This book was released on 2001 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel Solutions of the Neutron Transport Equation in Two- and Three-dimensions by the Collision Probability Method by : Stephen Marshall Slater
Download or read book Parallel Solutions of the Neutron Transport Equation in Two- and Three-dimensions by the Collision Probability Method written by Stephen Marshall Slater and published by . This book was released on 1997 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Neutron transport methods for massively parallel computers by : Ulf Rainer Hanebutte
Download or read book Neutron transport methods for massively parallel computers written by Ulf Rainer Hanebutte and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
