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Asymptotic Analysis Of Time Dependent Neutron Transport Coupled With Isotopic Depletion And Radioactive Decay
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Book Synopsis Asymptotic Analysis of Time-Dependent Neutron Transport Coupled with Isotopic Depletion and Radioactive Decay by : P. S. Brantley
Download or read book Asymptotic Analysis of Time-Dependent Neutron Transport Coupled with Isotopic Depletion and Radioactive Decay written by P. S. Brantley and published by . This book was released on 2006 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe an asymptotic analysis of the coupled nonlinear system of equations describing time-dependent three-dimensional monoenergetic neutron transport and isotopic depletion and radioactive decay. The classic asymptotic diffusion scaling of Larsen and Keller [1], along with a consistent small scaling of the terms describing the radioactive decay of isotopes, is applied to this coupled nonlinear system of equations in a medium of specified initial isotopic composition. The analysis demonstrates that to leading order the neutron transport equation limits to the standard time-dependent neutron diffusion equation with macroscopic cross sections whose number densities are determined by the standard system of ordinary differential equations, the so-called Bateman equations, describing the temporal evolution of the nuclide number densities.
Book Synopsis The Asymptotic Time-dependent Transport Equation by : Joel Bengston
Download or read book The Asymptotic Time-dependent Transport Equation written by Joel Bengston and published by . This book was released on 1958 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Time Dependent Neutron Transport in Multi-dimensional Systems by : M. F. Nagy
Download or read book Asymptotic Time Dependent Neutron Transport in Multi-dimensional Systems written by M. F. Nagy and published by . This book was released on 1983 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Development and Analysis of High Order Neutron Transport-depletion Coupling Algorithms by : Colin Josey
Download or read book Development and Analysis of High Order Neutron Transport-depletion Coupling Algorithms written by Colin Josey and published by . This book was released on 2017 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coupling of depletion and neutron transport together creates a particularly challenging mathematical problem. Due to the stiffness of the ODE, special algorithms needed to be developed to minimize the number of transport simulations required. In addition, for stochastic transport, both the time step and the number of particles per time step need to be considered. In recent years, many new coupling algorithms have been developed. However, relatively little analysis of the numeric and stochastic convergence of these techniques has been performed. In this document, several new algorithms are introduced. Some are improvements of current techniques, some are taken from similar problems in other fields, and some are derived from scratch for this specific problem. These were then tested on several test problems to investigate their convergence. With regard to numerical error, the CF4 algorithm (a commutator-free Lie integrator) outperformed all tested algorithms. In number of transport simulations to achieve a 0.1% gadolinium relative error, CF4 requires half the simulations. With regard to stochastic error, it was found that once a time step is sufficiently reduced, errors are mostly a function of the number of particles used during the simulation. The remaining variability is due to how stochastic noise propagates through each numerical integrator. Using this information, a technique is developed to minimize the cost of running a depletion simulation.
Book Synopsis Numerical Stability of Monte Carlo Neutron Transport and Isotopic Depletion for Nuclear Reactor Analysis by : Paul Cosgrove
Download or read book Numerical Stability of Monte Carlo Neutron Transport and Isotopic Depletion for Nuclear Reactor Analysis written by Paul Cosgrove and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the time-dependent neutron transport equation by : Silvio E. Corno
Download or read book On the time-dependent neutron transport equation written by Silvio E. Corno and published by . This book was released on 1963 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Solution of the Time-dependent, Multi-group Neutron Transport Equation by : J.M. Fletcher
Download or read book The Solution of the Time-dependent, Multi-group Neutron Transport Equation written by J.M. Fletcher and published by . This book was released on 1977 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High Order Variational Solutions of Time-dependent Neutron Transport Problems by : Bruce Carl Wilson
Download or read book High Order Variational Solutions of Time-dependent Neutron Transport Problems written by Bruce Carl Wilson and published by . This book was released on 1985 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Time-dependent Neutron Transport with Elastic Scattering by : Mieczysław Borysiewicz
Download or read book Time-dependent Neutron Transport with Elastic Scattering written by Mieczysław Borysiewicz and published by . This book was released on 1967 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Analytical Time-dependent Neutron Transport Benchmark Solution by : Barry Ganapol
Download or read book An Analytical Time-dependent Neutron Transport Benchmark Solution written by Barry Ganapol and published by . This book was released on 1972 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Deterministic-Monte Carlo Hybrid Method for Time-Dependent Neutron Transport Problems by :
Download or read book A Deterministic-Monte Carlo Hybrid Method for Time-Dependent Neutron Transport Problems written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A new deterministic-Monte Carlo hybrid solution technique is derived for the time-dependent transport equation. This new approach is based on dividing the time domain into a number of coarse intervals and expanding the transport solution in a series of polynomials within each interval. The solutions within each interval can be represented in terms of arbitrary source terms by using precomputed response functions. In the current work, the time-dependent response function computations are performed using the Monte Carlo method, while the global time-step march is performed deterministically. This work extends previous work by coupling the time-dependent expansions to space- and angle-dependent expansions to fully characterize the 1D transport response/solution. More generally, this approach represents and incremental extension of the steady-state coarse-mesh transport method that is based on global-local decompositions of large neutron transport problems. An example of a homogeneous slab is discussed as an example of the new developments.
Book Synopsis Handbook of Nuclear Engineering by : Dan Gabriel Cacuci
Download or read book Handbook of Nuclear Engineering written by Dan Gabriel Cacuci and published by Springer Science & Business Media. This book was released on 2010-09-14 with total page 3701 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1978 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1968 with total page 1192 pages. Available in PDF, EPUB and Kindle. Book excerpt: NSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Energy Research Abstracts written by and published by . This book was released on 1978 with total page 1118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiannual, with semiannual and annual indexes. References to all scientific and technical literature coming from DOE, its laboratories, energy centers, and contractors. Includes all works deriving from DOE, other related government-sponsored information, and foreign nonnuclear information. Arranged under 39 categories, e.g., Biomedical sciences, basic studies; Biomedical sciences, applied studies; Health and safety; and Fusion energy. Entry gives bibliographical information and abstract. Corporate, author, subject, report number indexes.
Book Synopsis Analytical Benchmarks for Nuclear Engineering Applications by : B. D. Ganapol
Download or read book Analytical Benchmarks for Nuclear Engineering Applications written by B. D. Ganapol and published by . This book was released on 2008 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt:
