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Author: Ron Tunstall Ackroyd
Publisher: Taylor & Francis Group
ISBN:
Category : Mathematics
Languages : en
Pages : 776
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Book Description
Focuses on the transport of neutral particles, neutrons and photons, using the finite element method to address practical problems in nuclear power and mineral prospecting. Includes discussions of how the method began and has matured to become a practical tool complementing the stochastic Monte Carlo method, spatial finite elements, examples of calculations, equivalent forms of the Boltzmann equation, neutron streaming in voids, some aspects of discontinuous variational solutions, complementary principles and benchmarking, time-dependent transport, and modelling three-dimensional systems. Double spaced. Annotation copyright by Book News, Inc., Portland, OR
Author: Ron Tunstall Ackroyd
Publisher: Taylor & Francis Group
ISBN:
Category : Mathematics
Languages : en
Pages : 776
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Book Description
Focuses on the transport of neutral particles, neutrons and photons, using the finite element method to address practical problems in nuclear power and mineral prospecting. Includes discussions of how the method began and has matured to become a practical tool complementing the stochastic Monte Carlo method, spatial finite elements, examples of calculations, equivalent forms of the Boltzmann equation, neutron streaming in voids, some aspects of discontinuous variational solutions, complementary principles and benchmarking, time-dependent transport, and modelling three-dimensional systems. Double spaced. Annotation copyright by Book News, Inc., Portland, OR
Author: Hiromi Stone
Publisher:
ISBN:
Category :
Languages : en
Pages : 148
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Book Description
Author: Eze Ewart Wills
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 440
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Book Description
A solution method for solving particle transport problems has been developed. This solution approach embodies a finite element projection technique and a related equivalent variational Raleigh-Ritz formalism. Particle flux in the transport equation is expressed as a linear and separable sum of odd and even components in the direction variables. Then a classical variational principle is obtained and shown to be equivalent to a Bubnov-Galerkin projected solution. A dual finite element basis of polynomial splines in space and spherical harmonics in angle is used in the Bubnov-Galerkin equations. The general theoretical and numerical problem formalism is carried out in a 3-dimensional geometry with anisotropic scattering and with a piecewise constant energy dependence. This is a seven-dimensional problem with time dependence, three spatial and two angular or directional variables and with a multigroup treatment of the energy dependence. The boundary conditions for most physical problems of interest are dealt with explicitly and rigorously by a classical minimization (variational) principle. The computational validation of the method was obtained by a computer solution to the air-over-ground problem. This problem is of significant interest in the areas of nuclear weapons effects and radiation physics.
Author: Teresa S Bailey
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
In this dissertation we discuss the development, implementation, analysis and testing of the Piecewise Linear Discontinuous Finite Element Method (PWLD) applied to the particle transport equation in two-dimensional cylindrical (RZ) and three-dimensional Cartesian (XYZ) geometries. We have designed this method to be applicable to radiative-transfer problems in radiation-hydrodynamics systems for arbitrary polygonal and polyhedral meshes. For RZ geometry, we have implemented this method in the Capsaicin radiative-transfer code being developed at Los Alamos National Laboratory. In XYZ geometry, we have implemented the method in the Parallel Deterministic Transport code being developed at Texas A & M University. We discuss the importance of the thick diffusion limit for radiative-transfer problems, and perform a thick diffusion-limit analysis on our discretized system for both geometries. This analysis predicts that the PWLD method will perform well in this limit for many problems of physical interest with arbitrary polygonal and polyhedral cells. Finally, we run a series of test problems to determine some useful properties of the method and verify the results of our thick diffusion limit analysis. Finally, we test our method on a variety of test problems and show that it compares favorably to existing methods. With these test problems, we also show that our method performs well in the thick diffusion limit as predicted by our analysis. Based on PWLD's solid finite-element foundation, the desirable properties it shows under analysis, and the excellent performance it demonstrates on test problems even with highly distorted spatial grids, we conclude that it is an excellent candidate for radiativetransfer problems that need a robust method that performs well in thick diffusive problems or on distorted grids.
Author: Vahid Nassehi
Publisher: World Scientific
ISBN: 1848164297
Category : Technology & Engineering
Languages : en
Pages : 265
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Book Description
Complex multiscale systems such as combined free or porous flow regimes and transport processes governed by combined diffusion, convection and reaction mechanisms, which cannot be readily modeled using traditional methods, can be solved by multiscale or stabilized finite element schemes. Due to the importance of the described multiscale processes in applications such as separation processes, reaction engineering and environmental systems analysis, a sound knowledge of such methods is essential for many researchers and design engineers who wish to develop reliable solutions for industrially relevant problems. The main scope of this book is to provide an authoritative description of recent developments in the field of finite element analysis, with a particular emphasis on the multiscale finite element modeling of transport phenomena and flow problem.
Author: Michael Rigley
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Physically based preconditioning is applied to linear systems resulting from solving the first order formulation of the particle transport equation and from solving the homogenized form of the simple flow equation for porous media flows. The first order formulation of the particle transport equation is solved two ways. The first uses a least squares finite element method resulting in a symmetric positive definite linear system which is solved by a preconditioned conjugate gradient method. The second uses a discontinuous finite element method resulting in a non-symmetric linear system which is solved by a preconditioned bi-conjugate gradient stabilized method. The flow equation is solved using a mixed finite element method. Specifically four levels of improvement are applied: homogenization of the porous media domain, a projection method for the mixed finite element method which simplifies the linear system, physically based preconditioning, and implementation of the linear solver in parallel on graphic processing units. The conjugate gradient linear solver for the least squares finite element method is also applied in parallel on graphics processing units. The physically based preconditioner is shown to perform well in each case, in relation to speed-ups gained and as compared with several algebraic preconditioners.
Author: Stephane Bonelli
Publisher: John Wiley & Sons
ISBN: 1118577248
Category : Science
Languages : en
Pages : 223
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Book Description
Erosion is the most common cause of failures at earth-dams, dikes and levees, whether through overtopping and overflowing, or internal erosion and piping. This book is dedicated to the phenomenon of internal erosion and piping. It is not intended to be exhaustive on the subject, but brings together some of the latest international research and advances. Emphasis is placed on physical processes, how they can be studied in the laboratory, and how test results can be applied to levees and dams. The results from several research projects in Australia, France, the Netherlands and the United States are covered by the authors. Our aim has been to share our most recent findings with students, researchers and practitioners. Understanding the failure of an earth-dam or a levee by erosion in a unified framework, whether internal erosion or surface erosion, requires continuous research in this field. We hope that the reader will gain knowledge from this book that leads to further progress in the challenging field of the safety of levees and dams. Contents 1. State of The Art on the Likelihood of Internal Erosion of Dams and Levees by Means of Testing, Robin Fell and Jean-Jacques Fry. 2. Contact Erosion, Pierre Philippe, Rémi Beguin and Yves-Henri Faure. 3. Backward Erosion Piping, Vera Van Beek, Adam Bezuijen and Hans Sellmeijer. 4. Concentrated Leak Erosion, Stéphane Bonelli, Robin Fell and Nadia Benahmed. 5. Relationship between the Erosion Properties of Soils and Other Parameters, Robin Fell, Gregory Hanson, Gontran Herrier, Didier Marot and Tony Wahl. About the Authors Stéphane Bonelli is a Research Professor at Irstea (French Environmental Sciences and Technologies Research Institute) in Aix-en-Provence, France. He has over 20 years of teaching and research experience, and has been a member of the ICOLD (International Commission on Large Dams) European Working Group on Internal Erosion since 2005. He has participated in 19 large dam reviews in France (visual inspection, monitoring data analysis and numerical modeling). His current activities include research, teaching and consultancy, focusing on soil erosion and the processes of levee breach.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 496
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Book Description
Author: Anjam Khursheed
Publisher: Springer
ISBN: 9781461552024
Category : Technology & Engineering
Languages : en
Pages : 274
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Book Description
In the span of only a few decades, the finite element method has become an important numerical technique for solving problems in the subject of charged particle optics. The situation has now developed up to the point where finite element simulation software is sold commercially and routinely used in industry. The introduction of the finite element method in charged particle optics came by way of a PHD thesis written by Eric Munro at the University of Cambridge, England, in 1971 [1], shortly after the first papers appeared on its use to solve Electrical Engineering problems in the late sixties. Although many papers on the use of the finite element method in charged particle optics have been published since Munro's pioneering work, its development in this area has not as yet appeared in any textbook. This fact must be understood within a broader context. The first textbook on the finite element method in Electrical Engineering was published in 1983 [2]. At present, there are only a handful of other books that describe it in relation to Electrical Engineering topics [3], let alone charged particle optics. This is but a tiny fraction of the books dedicated to the finite element method in other subjects such as Civil Engineering. The motivation to write this book comes from the need to redress this imbalance. There is also another important reason for writing this book.
Author:
Publisher: Elsevier
ISBN: 0080870279
Category : Computers
Languages : en
Pages : 483
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Book Description
Numerical Methods for Transport and Hydraulic Processes
