Unconditionally Stable Diffusion Acceleration Of The Transport Equation

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Unconditionally Stable Diffusion-acceleration of the Transport Equation

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Download or read book Unconditionally Stable Diffusion-acceleration of the Transport Equation written by and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard iterative procedure for solving fixed-source discrete-ordinates problems converges very slowly for problems in optically large regions with scattering ratios c near unity. The diffusion-synthetic acceleration method has been proposed to make use of the fact that for this class of problems the diffusion equation is often an accurate approximation to the transport equation. However, stability difficulties have historically hampered the implementation of this method for general transport differencing schemes. In this article we discuss a recently developed procedure for obtaining unconditionally stable diffusion-synthetic acceleration methods for various transport differencing schemes. We motivate the analysis by first discussing the exact transport equation; then we illustrate the procedure by deriving a new stable acceleration method for the linear discontinuous transport differencing scheme. We also provide some numerical results.

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 564 pages
Book Rating : 4.:/5 (319 download)

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Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Mathematical Methods in Transport Theory

Author : Greenberg
Publisher : Birkhäuser
ISBN 13 : 303485675X
Total Pages : 339 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modern Mathematical Methods in Transport Theory by : Greenberg

Download or read book Modern Mathematical Methods in Transport Theory written by Greenberg and published by Birkhäuser. This book was released on 2013-11-22 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eleventh International Transport Theory Conference and Symposium in honor of the sixty-fifth birthday of Kenneth Case and the sixtieth birthday of Paul Zweifel was held in Blacksburg, Virginia, during May 22-26, 1989, on the campus of Virginia Polytechnic Institute and State University (Virginia Tech). This volume consists of a selection of the invited papers delivered at the Conference, and represents a cross section of the research currently being carried out in the field of transport theory. The volume is divided into two sections. The Symposium lectures are intended each to summarize an important aspect of transport theory, as well as to present timely new results of the author's research interest. The Conference lectures are contributions of each author on his current research. As has been the custom in this series of conferences, each lecturer was invited to participate by the organizing committee of the Conference: W. Greenberg, Virginia Tech, chairman; V. Boffi, Universita di Firenze; N. Corngold, California Institute of Technology; B. Ganapol, University of Arizona; N. McCormick, University of Washington; P. Nelson, Texas Tech; G. Pomraning, University of California, Los Angeles. The Eleventh International Transport Theory Conference was funded by generous con tributions from Science Applications International Corporation, R. Beyster, president, and from Virginia Polytechnic Institute and State University. Conference participants, and, we believe, researchers in this and related areas, are indebted to these organizations. We would like to thank Lamberto Rondoni, in the graduate program at Virginia Tech, for proofreading manuscripts of all the Italian contributors.

Projected Discrete Ordinates Methods for Transport Problems on a General Quadrilateral Mesh

Author : Mary Margaret Kulas
Publisher :
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Projected Discrete Ordinates Methods for Transport Problems on a General Quadrilateral Mesh by : Mary Margaret Kulas

Download or read book Projected Discrete Ordinates Methods for Transport Problems on a General Quadrilateral Mesh written by Mary Margaret Kulas and published by . This book was released on 1991 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Research Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1470 pages
Book Rating : 4.U/5 (183 download)

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Download or read book Energy Research Abstracts written by and published by . This book was released on 1989 with total page 1470 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Computational Science

Author : Yousry Azmy
Publisher : Springer Science & Business Media
ISBN 13 : 9048134110
Total Pages : 476 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Nuclear Computational Science by : Yousry Azmy

Download or read book Nuclear Computational Science written by Yousry Azmy and published by Springer Science & Business Media. This book was released on 2010-04-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear engineering has undergone extensive progress over the years. In the past century, colossal developments have been made and with specific reference to the mathematical theory and computational science underlying this discipline, advances in areas such as high-order discretization methods, Krylov Methods and Iteration Acceleration have steadily grown. Nuclear Computational Science: A Century in Review addresses these topics and many more; topics which hold special ties to the first half of the century, and topics focused around the unique combination of nuclear engineering, computational science and mathematical theory. Comprising eight chapters, Nuclear Computational Science: A Century in Review incorporates a number of carefully selected issues representing a variety of problems, providing the reader with a wealth of information in both a clear and concise manner. The comprehensive nature of the coverage and the stature of the contributing authors combine to make this a unique landmark publication. Targeting the medium to advanced level academic, this book will appeal to researchers and students with an interest in the progression of mathematical theory and its application to nuclear computational science.

Advances in Heat Transfer

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Publisher : Academic Press
ISBN 13 : 0128207388
Total Pages : 592 pages
Book Rating : 4.1/5 (282 download)

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Download or read book Advances in Heat Transfer written by and published by Academic Press. This book was released on 2020-11-04 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Heat Transfer, Volume 52, provides in-depth review articles from a broader scope than in traditional journals or texts, with this comprehensive release covering chapters on Thermal Convection Studies at the University of Minnesota, Convective heat transfer in porous passages that depends on the values of the Sparrow numbers, Automatic Code Differentiation for Thermal-Fluid Problems, Advances in Vapor Chambers and Phase Change Heat Spreaders, Pressure Drop and Heat Transfer in the Entrance Region of Microchannels, Predicting spectral thermal conductivity at the mesoscale with advanced deterministic phonon transport techniques, and Modulated-heating protocols applied to hyperthermia/thermal ablation. Fills the information gap between regularly scheduled journals and university-level textbooks by providing in-depth review articles over a broader scope than in traditional journals or texts Provides essential reading for all mechanical, chemical and industrial engineers working in the field of heat transfer Presents a great resource for use in graduate school level courses

Numerical Mathematics and Advanced Applications

Author : F. Brezzi
Publisher : Springer Science & Business Media
ISBN 13 : 8847020891
Total Pages : 981 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Numerical Mathematics and Advanced Applications by : F. Brezzi

Download or read book Numerical Mathematics and Advanced Applications written by F. Brezzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable instrument for gaining a wide-ranging perspective on the latest developments in mathematical aspects of scientific computing, discovering new applications and the most recent developments in long-standing applications. Provides an insight into the state of the art of Numerical Mathematics and, more generally, into the field of Advanced Applications.

NEUTRON TRANSPORT, DIFFUSION, AND DIFFUSION SYNTHETIC ACCELERATION METHODS FOR PARALLEL ARCHITECTURE COMPUTERS.

Author : MUSA YAVUZ
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NEUTRON TRANSPORT, DIFFUSION, AND DIFFUSION SYNTHETIC ACCELERATION METHODS FOR PARALLEL ARCHITECTURE COMPUTERS. by : MUSA YAVUZ

Download or read book NEUTRON TRANSPORT, DIFFUSION, AND DIFFUSION SYNTHETIC ACCELERATION METHODS FOR PARALLEL ARCHITECTURE COMPUTERS. written by MUSA YAVUZ and published by . This book was released on 1991 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: performance of the new multigrid method degrades with an increasing number of processors, not because of the degradation in the convergence rate, but because of the domination of communication overhead and unemployment of some processors on the coarse grids.

Iterative Methods for Solving Linear Systems

Author : Anne Greenbaum
Publisher : SIAM
ISBN 13 : 089871396X
Total Pages : 225 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Iterative Methods for Solving Linear Systems by : Anne Greenbaum

Download or read book Iterative Methods for Solving Linear Systems written by Anne Greenbaum and published by SIAM. This book was released on 1997-01-01 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Computational Methods in Transport

Author : Frank Graziani
Publisher : Springer Science & Business Media
ISBN 13 : 3540281258
Total Pages : 539 pages
Book Rating : 4.5/5 (42 download)

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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.

Handbook of Nuclear Engineering

Author : Dan Gabriel Cacuci
Publisher : Springer Science & Business Media
ISBN 13 : 0387981306
Total Pages : 3701 pages
Book Rating : 4.3/5 (879 download)

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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.

Mathematical Analysis and Numerical Methods for Science and Technology

Author : Robert Dautray
Publisher : Springer Science & Business Media
ISBN 13 : 3642580041
Total Pages : 496 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mathematical Analysis and Numerical Methods for Science and Technology by : Robert Dautray

Download or read book Mathematical Analysis and Numerical Methods for Science and Technology written by Robert Dautray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: These six volumes--the result of a ten year collaboration between two distinguished international figures--compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. It is a comprehensive and up-to-date publication that presents the mathematical tools needed in applications of mathematics.

Government Reports Announcements & Index

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Publisher :
ISBN 13 :
Total Pages : 1044 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1992 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ASYMPTOTIC DIFFUSION ACCELERATED DISCONTINUOUS FINITE ELEMENT METHODS FOR TRANSPORT PROBLEMS (DIFFUSION SYNTHETIC ACCELERATION).

Download ASYMPTOTIC DIFFUSION ACCELERATED DISCONTINUOUS FINITE ELEMENT METHODS FOR TRANSPORT PROBLEMS (DIFFUSION SYNTHETIC ACCELERATION). PDF Online Free

Author : TODD ARLIN WAREING
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis ASYMPTOTIC DIFFUSION ACCELERATED DISCONTINUOUS FINITE ELEMENT METHODS FOR TRANSPORT PROBLEMS (DIFFUSION SYNTHETIC ACCELERATION). by : TODD ARLIN WAREING

Download or read book ASYMPTOTIC DIFFUSION ACCELERATED DISCONTINUOUS FINITE ELEMENT METHODS FOR TRANSPORT PROBLEMS (DIFFUSION SYNTHETIC ACCELERATION). written by TODD ARLIN WAREING and published by . This book was released on 1991 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: system of equations that cannot be collapsed into an efficiently solvable discrete diffusion equation.

Advances in Numerical Partial Differential Equations and Optimization

Author : Susana Gomez
Publisher : SIAM
ISBN 13 : 9780898712698
Total Pages : 388 pages
Book Rating : 4.7/5 (126 download)

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Book Synopsis Advances in Numerical Partial Differential Equations and Optimization by : Susana Gomez

Download or read book Advances in Numerical Partial Differential Equations and Optimization written by Susana Gomez and published by SIAM. This book was released on 1990-12-31 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume emphasize the numerical aspects of three main areas: optimization, linear algebra and partial differential equations. Held in January, 1989, in Yucatan, Mexico, the workshop was organized by the Institute for Research in Applied Mathematics of the National University of Mexico in collaboration with the mathematical Sciences Department at Rice University.

Proceedings of the Joint International Conference on Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga Springs, New York, October 5-9, 1997

Download Proceedings of the Joint International Conference on Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga Springs, New York, October 5-9, 1997 PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 972 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the Joint International Conference on Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga Springs, New York, October 5-9, 1997 by :

Download or read book Proceedings of the Joint International Conference on Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga Springs, New York, October 5-9, 1997 written by and published by . This book was released on 1997 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt: