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An Iterative Solution Method For The Neutron Transport Equation With Anisotropic Scattering
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Book Synopsis An Iterative Solution Method for the Neutron Transport Equation with Anisotropic Scattering by : Bruce Winston Crawford
Download or read book An Iterative Solution Method for the Neutron Transport Equation with Anisotropic Scattering written by Bruce Winston Crawford and published by . This book was released on 1966 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Application of Krylov Subspace Iterative Techniques to the Numerical Solution of the Neutron Transport Equation by : Bruce Wayne Patton
Download or read book Application of Krylov Subspace Iterative Techniques to the Numerical Solution of the Neutron Transport Equation written by Bruce Wayne Patton and published by . This book was released on 1996 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Splitting Iterative Methods for Solving Multidimensional Neutron Transport Equations by : Jacques Tagoudjeu
Download or read book New Splitting Iterative Methods for Solving Multidimensional Neutron Transport Equations written by Jacques Tagoudjeu and published by Universal-Publishers. This book was released on 2011-04 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focuses on iterative methods for the treatment of the steady state neutron transport equation in slab geometry, bounded convex domain of Rn (n = 2,3) and in 1-D spherical geometry. We introduce a generic Alternate Direction Implicit (ADI)-like iterative method based on positive definite and m-accretive splitting (PAS) for linear operator equations with operators admitting such splitting. This method converges unconditionally and its SOR acceleration yields convergence results similar to those obtained in presence of finite dimensional systems with matrices possessing the Young property A. The proposed methods are illustrated by a numerical example in which an integro-differential problem of transport theory is considered. In the particular case where the positive definite part of the linear equation operator is self-adjoint, an upper bound for the contraction factor of the iterative method, which depends solely on the spectrum of the self-adjoint part is derived. As such, this method has been successfully applied to the neutron transport equation in slab and 2-D cartesian geometry and in 1-D spherical geometry. The self-adjoint and m-accretive splitting leads to a fixed point problem where the operator is a 2 by 2 matrix of operators. An infinite dimensional adaptation of minimal residual and preconditioned minimal residual algorithms using Gauss-Seidel, symmetric Gauss-Seidel and polynomial preconditioning are then applied to solve the matrix operator equation. Theoretical analysis shows that the methods converge unconditionally and upper bounds of the rate of residual decreasing which depend solely on the spectrum of the self-adjoint part of the operator are derived. The convergence of theses solvers is illustrated numerically on a sample neutron transport problem in 2-D geometry. Various test cases, including pure scattering and optically thick domains are considered.
Book Synopsis Numerical Formulation and Solution of Neutron Transport Problems by : Bengt G. Carlson
Download or read book Numerical Formulation and Solution of Neutron Transport Problems written by Bengt G. Carlson and published by . This book was released on 1964 with total page 54 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:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976-06 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SWAPS-AN EXPERIMENTAL PROGRAM FOR NUMERICAL SOLUTION OF THE TRANSPORT EQUATION WITH ANISOTROPIC SCATTERING IN ONE-DIMENSIONAL SLAB GEOMETRY. by :
Download or read book SWAPS-AN EXPERIMENTAL PROGRAM FOR NUMERICAL SOLUTION OF THE TRANSPORT EQUATION WITH ANISOTROPIC SCATTERING IN ONE-DIMENSIONAL SLAB GEOMETRY. written by and published by . This book was released on 1962 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A computer program was developed as part of an attempt to solve the neutron transport equation in as general a manner as present day machine capacity will permit. The iterative technique employed is equivaient to the EQUlPOlSE method modified by a form of block relaxation. In terms of mesh sweeps, the procedure is extremely rapid by comparison with a similar program. Two energy groups, 16 angular directions, and 400 mesh points, are provided. Anisotropic scattering is permitted, and an arbitrary onedimensional distribution of material properties can be used. Checks of the results of the program against published analytical results for both isotropic and anisotropic scattering were in excellent agreement. (auth).
Book Synopsis On the Numerical Integration of the Neutron Transport Equation by : Herbert Bishop Keller
Download or read book On the Numerical Integration of the Neutron Transport Equation written by Herbert Bishop Keller and published by . This book was released on 1955 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A procedure for the direct numerical integration of the steady-state, elastic scattering neutron transport equation is presented.
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 Anisotropic Scattering in the Transport Equation by : Kaye D. Lathrop
Download or read book Anisotropic Scattering in the Transport Equation written by Kaye D. Lathrop and published by . This book was released on 1963 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Collocation Method for the Solution of the Neutron Transport Equation with Both Symmetric and Asymmetric Scattering by :
Download or read book Collocation Method for the Solution of the Neutron Transport Equation with Both Symmetric and Asymmetric Scattering written by and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A collocation method is developed for the solution of the one-dimensional neutron transport equation in slab geometry with both symmetric and polarly asymmetric scattering. For the symmetric scattering case, it is found that the collocation method offers a combination of some of the best characteristics of the finite-element and discrete-ordinates methods. For the asymmetric scattering case, it is found that the computational cost of cross-section data processing under the collocation approach can be significantly less than that associated with the discrete-ordinates approach. A general diffusion equation treating both symmetric and asymmetric scattering is developed and used in a synthetic acceleration algorithm to accelerate the iterative convergence of collocation solutions. It is shown that a certain type of asymmetric scattering can radically alter the asymptotic behavior of the transport solution and is mathematically equivalent within the diffusion approximation to particle transport under the influence of an electric field. The method is easily extended to other geometries and higher dimensions. Applications exist in the areas of neutron transport with highly anisotropic scattering (such as that associated with hydrogenous media), charged-particle transport, and particle transport in controlled-fusion plasmas. 23 figures, 6 tables.
Download or read book Dissertation Abstracts written by and published by . This book was released on 1966 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical solution to the neutron transport equation with a rigorous treatment of anisotropic scattering by : A. Schwenk-Ferrero
Download or read book Numerical solution to the neutron transport equation with a rigorous treatment of anisotropic scattering written by A. Schwenk-Ferrero and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Iterative Solution of Integral Neutron Transport Equation in Steady-state Isotropic Cylindrical Systems by : Young Whan Na
Download or read book An Iterative Solution of Integral Neutron Transport Equation in Steady-state Isotropic Cylindrical Systems written by Young Whan Na and published by . This book was released on 1987 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1966 with total page 1492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis ERDA Energy Research Abstracts by : United States. Energy Research and Development Administration
Download or read book ERDA Energy Research Abstracts written by United States. Energy Research and Development Administration and published by . This book was released on 1976 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transport Theory by : Richard Bellman
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.
