Download or read book Adaptive Grid Techniques for Elliptic Fluid flow Problems written by Steven Charles Caruso and published by . This book was released on 1985 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The adaptive grid techniques are described for elliptic fluid flow problems. The method is an extension of a local refinement technique developed by Berger for systems of hyperbolic equations. Local refined grids are overlaid on a coarser base grid. Recursive use of this technique allows an arbitrary degree of grid refinement. Two classes of elliptic flows are identified; they are characterized as having strong or weak viscous inviscid interactions. Adaptive solution strategies, active and passive, respectively, are developed for each class. The SIMPLER method is used to solve the steady, laminar, incompressible Navier Stokes equations. Central differencing of the convective terms is implemented with the defect-correction method to stabilize the solution method for all cell Reynolds numbers. Uniform grid calculations are performed for the laminar backstep flow. Richardson estimated solution and truncation errors are compared to accurate estimates of the same quantities for the backstep flow. The solution error is well predicted. The truncation error estimates are less accurate, but the reliably indicate where grid refinement is required. Active adaptive calculations of the backstep are made, using boundary aligned refinement.
Download or read book multigrid methods written by Stephen F. Mccormick and published by CRC Press. This book was released on 2020-08-12 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.
Download or read book Multilevel Adaptive Methods for Partial Differential Equations written by Stephen F. McCormick and published by SIAM. This book was released on 1989-01-01 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques. It also contains new material, which is included to fill in certain gaps and to expose new avenues of research. Also, because adaptive refinement seems to demand a lot of attention to philosophical issues, personal perspectives are often brought freely into the discussion.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods written by Jan Mandel and published by SIAM. This book was released on 1989-01-01 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multigrid Methods written by W. Hackbusch and published by Springer. This book was released on 2006-11-15 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quality of Numerical Software written by Ronald F. Boisvert and published by Springer. This book was released on 2016-01-09 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical software is central to our computerized society. It is used to control aeroplanes and bridges, operate manufacturing lines, control power plants and refineries, and analyse financial markets. Such software must be accurate, reliable, robust, efficient, easy to use, maintainable and adaptable. Quality assessment and control of numerical software is still not well understood. Although measurement is a key element, it remains difficult to assess many components of software quality and to evaluate the trade-offs between them. Fortunately, as numerical software is built upon a long established foundation of mathematical and computational knowledge, there is great potential for dramatic breakthroughs. This volume will address enabling techniques and tools such as benchmarks, testing methodologies, quality standards, metrics, and accuracy control mechanisms, and their application to software for differential equations, linear algebra, data analysis, as well as the evaluation of integrals, derivatives and elementary and special functions.
Download or read book Grid Generation Methods written by Vladimir D. Liseikin and published by Springer. This book was released on 2017-06-12 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.
Download or read book Government Reports Announcements Index written by and published by . This book was released on 1992 with total page 1494 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1986 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Simulation Characteriation and Control of Forced Unsteady Viscous Flows Using Navier Stokes Equations written by Kirti N. Ghia and published by . This book was released on 1992 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Monthly Weather Review written by and published by . This book was released on 1986 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lecture Notes in Pure and Applied Mathematics written by and published by . This book was released on 1988 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multi Grid Methods and Applications written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive convergence analysis. One section describes special applications (convection-diffusion equations, singular perturbation problems, eigenvalue problems, etc.). The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (e.g. the "panel method") and to numerous other problems. Readers with a practical interest in multi-grid methods will benefit from this book as well as readers with a more theoretical interest.
Download or read book Computational Fluid Dynamics Review 1998 In 2 Volumes written by Mohamed M Hafez and published by World Scientific. This book was released on 1998-11-20 with total page 1169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of CFD Review was published in 1995. The purpose of this new publication is to present comprehensive surveys and review articles which provide up-to-date information about recent progress in computational fluid dynamics, on a regular basis. Because of the multidisciplinary nature of CFD, it is difficult to cope with all the important developments in related areas. There are at least ten regular international conferences dealing with different aspects of CFD.It is a real challenge to keep up with all these activities and to be aware of essential and fundamental contributions in these areas. It is hoped that CFD Review will help in this regard by covering the state-of-the-art in this field.The present book contains sixty-two articles written by authors from the US, Europe, Japan and China, covering the main aspects of CFD. There are five sections: general topics, numerical methods, flow physics, interdisciplinary applications, parallel computation and flow visualization. The section on numerical methods includes grids, schemes and solvers, while that on flow physics includes incompressible and compressible flows, hypersonics and gas kinetics as well as transition and turbulence. This book should be useful to all researchers in this fast-developing field.
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2003 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reliability in Computational Mechanics written by John Tinsley Oden and published by North Holland. This book was released on 1990 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much of what engineers and scientists do is modeling natural phenomena, by developing mathematical models of nature they can study and predict the behaviour of physical systems. The remarkable advances in technology over the last half century attest to the success of this approach. However, there has been growing concern about the issue of reliability in computational modeling in recent years. The success of computational modeling in certain classes of linear problems may have lulled many into a false sense of confidence in computed results. The papers in this volume discuss topics such as: Exactly how reliable are contemporary computational modeling procedures? How can this reliability be assessed? What factors affect it? How can reliability be improved? What direction must future research in computational modeling take to increase reliability of the more sophisticated models needed to simulate phenomena of importance in engineering? The work covers the application of existing methods to issues of reliability as well as studies of new methods that touch upon or depend upon the reliability of computational techniques in mechanics.
