Download or read book The Discrete Sn Approximation to Transport Theory written by Clarence E. Lee and published by . This book was released on 1962 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Review of the Discrete Ordinates Sn Method for Radiation Transport Calculations written by Radiation Shielding Information Center (U.S.) Oak Ridge National Laboratory and published by . This book was released on 1968 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transport Theory written by Bengt G. Carlson and published by . This book was released on 1968 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formulation and solution of the neutron transport equation by finite difference techniques is reviewd. The discrete as well as the centered S[subscript]n methods are discussed. Many new results, techniques, and interpretations are presented. The emphasis is on an improved approach to centered S[subscript]n and its generalization.
Download or read book An SN Approximation to the Neutron Transport Equation Based on a Variational Principle written by Jungjo Pyun and published by . This book was released on 1970 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solution of an Initial value Problem in Linear Transport Theory written by Perry A. Newman and published by . This book was released on 1971 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The solution of an initial-value problem in linear transport theory is obtained by using the normal-mode expansion technique of Case. The problem is that of monoenergetic neutrons migrating in a thin slab surrounded by infinitely thick reflectors and the scattering is taken to be isotropic. The results obtained indicate that the reflector may give rise to a branch-cut integral term typical of a semi-infinite medium whereas the central slab may contribute a summation over discrete residue terms. Exact expressions are obtained for these discrete time eigenvalues, and numerical results showing the behavior of real time eigenvalues as a function of the material properties of the slab and reflector are presented. These eigenvalues are finite in number and may disappear into the branch cut or continuum as the material properties are varied; such disappearing eigenvalues correspond to exponentially time-decaying modes. The two largest eigenvalues can be compared with critical dimensions of slabs and spheres, and the numerical values are shown to agree with the critically results of others. In the limit of purely absorbing reflectors or a bare slab, the present solution has the same properties as have been previously reported by others who used the approach of Lehner and Wing.
Download or read book Radiative Heat Transfer written by Michael F. Modest and published by Academic Press. This book was released on 2013-02-20 with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of Radiative Heat Transfer describes the basic physics of radiation heat transfer. The book provides models, methodologies, and calculations essential in solving research problems in a variety of industries, including solar and nuclear energy, nanotechnology, biomedical, and environmental. Every chapter of Radiative Heat Transfer offers uncluttered nomenclature, numerous worked examples, and a large number of problems—many based on real world situations—making it ideal for classroom use as well as for self-study. The book's 24 chapters cover the four major areas in the field: surface properties; surface transport; properties of participating media; and transfer through participating media. Within each chapter, all analytical methods are developed in substantial detail, and a number of examples show how the developed relations may be applied to practical problems. - Extensive solution manual for adopting instructors - Most complete text in the field of radiative heat transfer - Many worked examples and end-of-chapter problems - Large number of computer codes (in Fortran and C++), ranging from basic problem solving aids to sophisticated research tools - Covers experimental methods
Download or read book Transport Theory written by Richard Bellman and published by American Mathematical Soc.. This book was released on 1969 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The industrial and military applications of atomic energy have stimulated much mathematical research in neutron transport theory. The possibility of controlled thermonuclear processes has similarly focussed attention upon plasmas, sometimes called the "fourth state of matter". Independently, many classical aspects of kinetic theory and radiative transfer theory have been studied both because of their basic mathematical interest and of their physical applications to areas such as upper-atmosphere meteorology - introduction.
Download or read book Multi group Discrete Sn Transport Calculation for Cylindrical Geometry written by Ronald M. Saqui and published by . This book was released on 1965 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computer code is presented for neutron transport calculations on a cylindrical geometry, gaseous core, nuclear rocket. The code is applied to a simplified reactor system model consisting of a two region right cylindrical cavity core with an effective temperature of 3980K. The calculations are performed using a five energy group, discrete S4 approximation of the Boltzmann Equation. The cylindrical form of the Boltzmann Equation is developed in detail. Application of the discrete Sn approximation to obtain the finite difference equations and the boundary conditions is shown. An iterative procedure having the total fission source production as the eigenvalue is used by the computer code to solve these equations numerically. This code is written in Fortran IV language for the IBM 7094 coupled system. The atom density results of the two systems tested are within 2.5% and 0.6% agreement with those of another code written by T.F. Plunckett of Douglas Aircraft. Although these results are good, variations in the multiplication factor and the inability to significantly effect this factor by small changes in system parameters leads to the conclusion that further tests of the code are required before it may be used in the analysis of the propulsion device. (Author).
Download or read book NASA Technical Note written by and published by . This book was released on 1966 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Benchmark Problem Book written by Argonne Code Center and published by . This book was released on 1972 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete Ordinate Transport Theory Calculations of the Effect of Heterogeneities on written by and published by . This book was released on 1967 with total page 10 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 1975-06 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Engineering Compendium on Radiation Shielding written by International Atomic Energy Agency and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need has arisen for a comprehensive handbook for engineers faced with problems of radiation shielding design. Although there are several excellent books on shielding, they either do not give enough consideration to the many practical design problems, or are limited to special aspects of the subject. Recognizing the universal need, the International Atomic Energy Agency decided to sponsor the publication ofthe present Engineering Compendium on Radiation Shield ing. At the first editorial discussions it was agreed that, if such a book were to be undertaken, it would be appropriate not only to create a useful design tool for the practising engineer but also to include well-referenced basic data for the research worker. Although trying to keep the book down to a reasonable size, the editors have aimed at a complete presentation of the subject, covering and linking both the tech nology and the science of shielding. Efforts to make terms and definitions consistent throughout have been only partially successful, owing to the continuing development of new ideas. However, inconsisten cies that could not be eliminated are identified whenever possible.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1968 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Discrete Ordinates Approximation to the Neutron Transport Equation Applied to Generalized Geometries written by and published by . This book was released on 1992 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method for applying the discrete ordinates method for solution of the neutron transport equation in arbitary two-dimensional meshes has been developed. The finite difference approach normally used to approximate spatial derivatives in extrapolating angular fluxes across a cell is replaced by direct solution of the characteristic form of the transport equation for each discrete direction. Thus, computational cells are not restricted to the traditional shape of a mesh element within a given coordinate system. However, in terms of the treatment of energy and angular dependencies, this method resembles traditional discrete ordinates techniques. Using the method developed here, a general two-dimensional space can be approximated by an irregular mesh comprised of arbitrary polygons. The present work makes no assumptions about the orientations or the number of sides in a given cell, and computes all geometric relationships between each set of sides in each cell for each discrete direction. A set of non-reentrant polygons can therefore be used to represent any given two dimensional space. Results for a number of test problems have been compared to solutions obtained from traditional methods, with good agreement. Comparisons include benchmarks against analytical results for problems with simple geometry, as well numerical results obtained from traditional discrete ordinates methods by applying the ANISN and TWOTRAN computer programs. Numerical results were obtained for problems ranging from simple one-dimensional geometry to complicated multidimensional configurations. These results have demonstrated the ability of the developed method to closely approximate complex geometrical configurations and to obtain accurate results for problems that are extremely difficult to model using traditional methods.
Download or read book Reactor Physics Calculations For Applications In Nuclear Technology Proceedings Of The Workshop written by Dermott E Cullen and published by World Scientific. This book was released on 1991-01-30 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop was designed to meet the needs of those currently involved in or are planning a nuclear programme involving research and/or power fission reactors. The workshop had a broad scope including not only fission reactor core calculations, but also safety, fuel management, waste disposal reactor licensing. The lectures and computer exercises covered almost all aspects of the operation of fission reactors.This workshop introduced participants to the methods currently used in fission reactor calculations and to some computer codes in which these methods are used.
Download or read book Spectral Methods in Chemistry and Physics written by Bernard Shizgal and published by Springer. This book was released on 2015-01-07 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed. The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schrödinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials. The numerical methods referred to as the Discrete Ordinate Method, Differential Quadrature, the Quadrature Discretization Method, the Discrete Variable Representation, the Lagrange Mesh Method, and others are discussed and compared. MATLAB codes are provided for most of the numerical results reported in the book - see Link under 'Additional Information' on the the right-hand column.
