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Author : Joel Bengston
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.3/5 (91 download)
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:
Author :
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (682 download)
Download or read book Asymptotic Analysis of the Several Competitive Equations to Solve the Time-dependent Neutron Transport Equation written by and published by . This book was released on 1994 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using conventional diffusion limit analysis, we asymptotically compare three competitive time-dependent equations (the telegrapher's equation, the time-dependent Simplified P2 (SP2) equation, and the time-dependent Simplified Evcn-Parity (SEP) equation). The time-dependent SP2 equation contains higher order asymptotic approximations of the time-dependent transport equation than the other equations in a physical regime in which the time-dependent diffusion equation is the leading order approximation. In addition, we derive the multigroup modified time-dependent SP2 equation from the multigroup time-dependent transport equation by means of an asymptotic expansion in which the multigroup time-dependent diffusion equation is the leading, order approximation. Numerical comparisons of the timedependent diffusion, the telegrapher's, the time-dependent SP2, and S solutions in 2-D X-Y geometry show that, in most cases, the SP2 solutions contain most of the transport corrections for the diffusion approximation.
Author :
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (727 download)
Download or read book Asymptotic Derivation of the Modified Time-dependent SP2 Equations and Numerical Calculations written by and published by . This book was released on 1993 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Converting the independent variables of the transport equation to dimensionless parameters, asymptotic analyses can be performed to show that, for an important class of problems, the diffusion equation is an asymptotic limit of the transport equation. A recent paper by Larsen, McGhee, and Morel provides a broadened view of the result discussed above. It deals with the steady-state transport equation and shows that the Simplified Spherical-Harmonics (SP{sub N}) equations are robust high-order asymptotic approximations of the transport equation in a physical regime in which the conventional diffusion equation is the leading-order approximation. According to the reported numerical results for the steady-state cases, for many problems, low-order SP{sub N} equations capture most of the transport corrections to the diffusion approximation. And Larsen shows that, in nearly all cases, the SP2 results are significantly more accurate than diffusion results in the steady-state problems.
Author : Uncheol Shin
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.:/5 (33 download)
Download or read book Asymptotic Analyses and Numerical Experiments on the Multigroup Time-dependent Simplified P2 Equations written by Uncheol Shin and published by . This book was released on 1995 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mustafa M. Aral
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.3/5 (91 download)
Download or read book Analytical Solutions for Two-dimensional Transport Equation with Time-dependent Dispersion Coefficients written by Mustafa M. Aral and published by . This book was released on 1996 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. S. Brantley
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (316 download)
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.
Author : Joseph Fleck
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Numerical Solution of the Time-dependent Transport Equation in Finite Cylindrical Geometry written by Joseph Fleck and published by . This book was released on 1957 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Nelson
Publisher : CRC Press
ISBN 13 : 1000951502
Total Pages : 482 pages
Book Rating : 4.0/5 (9 download)
Download or read book Transport Theory written by Paul Nelson and published by CRC Press. This book was released on 2023-05-31 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes seminal papers on technical subjects - transport theory, invariant imbedding, and integral equations - presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.
Author : J. Ernest Wilkins (Jr.)
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Solutions for the Straight Ahead Transport Equation written by J. Ernest Wilkins (Jr.) and published by . This book was released on 1951 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tara M. Pandya
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (664 download)
Download or read book Long Characteristic Method in Space and Time for Transport Problems written by Tara M. Pandya and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Discretization and solving of the transport equation has been an area of great research where many methods have been developed. Under the deterministic transport methods, the method of characteristics, MOC, is one such discretization and solution method that has been applied to large-scale problems. Although these MOC, specifically long characteristics, LC, have been thoroughly applied to discretize and solve transport problems in the spatial domain, there is a need for an equally adequate time-dependent discretization. A method has been developed that uses LC discretization of the time and space variables in solving the transport equation. This space-time long characteristic, STLC, method is a discrete ordinates method that applies LC discretization in space and time and employs a least-squares approximation of sources such as the scattering source in each cell. This method encounters the same problems that previous spatial LC methods have dealt with concerning achieving all of the following: particle conservation, exact solution along a ray, and smooth variation in reaction rate for specific problems. However, quantities that preserve conservation in each cell can also be produced with this method and compared to the non-conservative results from this method to determine the extent to which this STLC method addresses the previous problems. Results from several test problems show that this STLC method produces conservative and non-conservative solutions that are very similar for most cases and the difference between them vanishes as track spacing is refined. These quantities are also compared to the results produced from a traditional linear discontinuous spatial discretization with finite difference time discretization. It is found that this STLC method is more accurate for streaming-dominate and scattering-dominate test problems. Also, the solution from this STLC method approaches the steady-state diffusion limit solution from a traditional LD method. Through asymptotic analysis and test problems, this STLC method produces a time-dependent diffusion solution in the thick diffusive limit that is accurate to O(E) and is similar to a continuous linear FEM discretization method in space with time differencing. Application of this method in parallel looks promising, mostly due to the ray independence along which the solution is computed in this method.
Author : Dan Gabriel Cacuci
Publisher : Springer Science & Business Media
ISBN 13 : 0387981306
Total Pages : 3701 pages
Book Rating : 4.3/5 (879 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.E/5 ( download)
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 632 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.
Author : Aref Jeribi
Publisher : Springer
ISBN 13 : 3319175661
Total Pages : 608 pages
Book Rating : 4.3/5 (191 download)
Download or read book Spectral Theory and Applications of Linear Operators and Block Operator Matrices written by Aref Jeribi and published by Springer. This book was released on 2015-07-04 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially-compact operators.
Author : Robert D. Richtmyer
Publisher : Forgotten Books
ISBN 13 : 9781334017032
Total Pages : 50 pages
Book Rating : 4.0/5 (17 download)
Download or read book A Numerical Method for the Time-Dependent Transport Equation (Classic Reprint) written by Robert D. Richtmyer and published by Forgotten Books. This book was released on 2016-10-20 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Numerical Method for the Time-Dependent Transport Equation To simplify discussion, attention will be confined to the simplest possible version of the problem by making the following assumptions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author :
Publisher :
ISBN 13 :
Total Pages : 852 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematics and Computations, Reactor Physics, and Environmental Analyses written by and published by . This book was released on 1995 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert D. Richtmyer
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (14 download)
Download or read book A Numerical Method for the Time-dependent Transport Equation written by Robert D. Richtmyer and published by . This book was released on 1957 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1200 pages
Book Rating : 4.3/5 (129 download)
Download or read book Energy Research Abstracts written by and published by . This book was released on 1986 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
