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Book Finite Element Solution of a Self Adjoint Transport Equation in One Dimension

Download or read book Finite Element Solution of a Self Adjoint Transport Equation in One Dimension written by A. D. Goff and published by . This book was released on 1984 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-adjoint form of the transport equation was derived, and expressed as an extremization integral. The finite element equations were derived from the extremization integral for the one-dimensional time independent homogeneous transport equation with isotropic scatter. These equations were implemented in FORTRAN on a VAX 11/780 and used to solve a simple benchmark problem. The finite element solution, for a small mesh of 32 elements, was compared to results from a numerical technique known as Ln. The solutions differed by about 35 percent. Larger meshes were not run because an automatic mesh refinement routine was not available. The large difference between the Ln solution and the finite difference solution is attributed to residual errors in the coding of the finite element equations for the scatter terms. (Author).

Book A Finite Element Solution of the Transport Equation

Download or read book A Finite Element Solution of the Transport Equation written by F. A. Tarantino and published by . This book was released on 1985 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a self adjoint form of the transport equation expressed as a variational integral, finite element equations for the one dimensional, one speed, homogeneous, time independent transport equation in slab geometry were derived and envoded in Fortran 77. The accuracy of C sub 0 and C sub 1 continuous fits was compared against an analytical solution for the case of noscatter. It was found that the C fits require an excessive amount of mesh refinement. The C sub 1 fit is very accurate, and does not appear to be computationally excessive. The finite element results were then compared, for the case of isotropic scatter, to a legendre polynomial solution, and the results of a recently developed code known as Ln. The methods accuracy was sufficiently verified with inexact scattering term evaluation. A technique of exact scattering integral evaluation is proposed that should reduce the amount of refinement required for convergence, and improve computational efficiency. Additional keywords: theses; numerical analysis; interpolation; computer programs. (Author).

Book Finite Element Numerical Solution of a Self adjoint Transport Equation for Coupled Electron photon Problems

Download or read book Finite Element Numerical Solution of a Self adjoint Transport Equation for Coupled Electron photon Problems written by Jennifer Liscum-Powell and published by . This book was released on 2000 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Finite Element Method Set

Download or read book The Finite Element Method Set written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-11-25 with total page 1863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Book Finite Element Modeling of Multiscale Transport Phenomena

Download or read book Finite Element Modeling of Multiscale Transport Phenomena written by Vahid Nassehi and published by World Scientific. This book was released on 2011 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Finite Element Method for Fluid Dynamics

Download or read book The Finite Element Method for Fluid Dynamics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-12-08 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series.New material in this edition includes sub-grid scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing. - A complete, stand-alone reference on fluid mechanics applications of the FEM for mechanical, aeronautical, automotive, marine, chemical and civil engineers. - Extensive new coverage of turbulent flow and free surface treatments

Book ERDA Energy Research Abstracts

Download or read book ERDA Energy Research Abstracts written by United States. Energy Research and Development Administration. Technical Information Center and published by . This book was released on 1976 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Finite Volume Method in Computational Fluid Dynamics

Download or read book The Finite Volume Method in Computational Fluid Dynamics written by F. Moukalled and published by Springer. This book was released on 2015-08-13 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.

Book Air University Abstracts of Research Reports

Download or read book Air University Abstracts of Research Reports written by Air University (U.S.). Library and published by . This book was released on 1984 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Air University Abstracts of Research Reports

Download or read book Air University Abstracts of Research Reports written by and published by . This book was released on 1984 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1978 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Finite Element Model for Miscible Displacement in Ground Water Aquifers

Download or read book A Finite Element Model for Miscible Displacement in Ground Water Aquifers written by Vadali Venkata Narasimha Murty and published by . This book was released on 1975 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Intermediate Finite Element Method

Download or read book The Intermediate Finite Element Method written by Darrell W. Pepper and published by Routledge. This book was released on 2017-11-01 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a follow-up to the introductory text written by the same authors. The primary emphasis on this book is linear and nonlinear partial differential equations with particular concentration on the equations of viscous fluid motion. Each chapter describes a particular application of the finite element method and illustrates the concepts through example problems. A comprehensive appendix lists computer codes for 2-D fluid flow and two 3-D transient codes.