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Author : P.G. Ciarlet
Publisher : Elsevier
Page : 1187 pages
File Size : 45,5 Mb
Release : 2003-07-25
Category : Mathematics
ISBN : 9780080507941
Numerical Methods for Fluids, Part 3
Author : P.G. Ciarlet,Jacques-Louis Lions
Publisher : North-Holland is
Page : 1196 pages
File Size : 49,6 Mb
Release : 1990
Category : Mathematics
ISBN : UCSC:32106017462208
This book-size article is dedicated to the numerical simulation of unsteady incompressible viscous flow modelled by the Navier-Stokes equations, or by non-Newtonian variants of them. In order to achieve this goal a methodology has been developed based on four key tools. Time discretization by operator-splitting schemes such as Peaceman-Rachford's, Douglas Rachford's, Marchuk-Yanenko's, Strang's symmetrized, and the so-called theta-scheme introduced by the author in the mid-1980s. Projection methods (in L2 or H1) for the treatment of the incompressibility condition div u = 0. Treatment of the advection by: either a centered scheme leading to linear or nonlinear advection-diffusion problems solved by least squares/conjugate gradient algorithms, or to a linear wave-like equation well suited to finite element-based solution methods. Space approximation by finite element methods such as Hood-Taylor and Bercovier-Pironneau, which are relatively easy to implement. conjugate gradient algorithms, least-squares methods for boundary-value problems which are not equivalent to problems of the calculus of variations, Uzawa-type algorithms for the solution of saddle-point problems, embedding/fictitious domain methods for the solution of elliptic and parabolic problems. In fact many computational methods discussed in this article also apply to non-CFD problems although they were mostly designed for the solution of flow problems. Among the topics covered are: the direct numerical simulation of particulate flow; computational methods for flow control; splitting methods for viso-plastic flow a la Bingham; and more. It should also be mentioned that most methods discussed in this article are illustrated by the results of numerical experiments, including the simulation of three-dimensional flow. easy to implement - as is demonstrated by the fact that several practitioners in various institutions have been able to use them ab initio for the solution of complicated flow (and other) problems.
Author : Philippe G. Ciarlet,Jacques-Louis Lions,R. Glowinski
Publisher : Gulf Professional Publishing
Page : 1187 pages
File Size : 45,8 Mb
Release : 1990
Category : Numerical analysis
ISBN : 0444512241
Includes following subjects: Solution of equations in Rn, Finite difference methods, Finite element methods, Techniques of scientific computing, Optimization theory and systems science, Numerical methods for fluids, Numerical methods for solids, Specific applications
Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 54,7 Mb
Release : 2003
Category : Electronic
ISBN : 0444703667
Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 40,8 Mb
Release : 1989
Category : Numerical analysis
ISBN : LCCN:89023314
Author : Anonim
Publisher : Elsevier
Page : 824 pages
File Size : 47,9 Mb
Release : 2010-12-20
Category : Mathematics
ISBN : 9780080932026
Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics. New review of well-known computational methods for the simulation viscoelastic and viscoplastic types.; Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods.; Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids.;
Author : Philippe G. Ciarlet,Jacques-Louis Lions,R. Glowinski
Publisher : Elsevier
Page : 827 pages
File Size : 54,5 Mb
Release : 1990
Category : Mathematics
ISBN : 9780444530479
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.
Author : Franco Brezzi
Publisher : Springer
Page : 331 pages
File Size : 45,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540393917
Author : W.H.A. SCHILDERS,E.J.W. TER MATEN
Publisher : Elsevier
Page : 930 pages
File Size : 49,7 Mb
Release : 2005-04-04
Category : Mathematics
ISBN : 9780080459158
This special volume provides a broad overview and insight in the way numerical methods are being used to solve the wide variety of problems in the electronics industry. Furthermore its aim is to give researchers from other fields of application the opportunity to benefit from the results wich have been obtained in the electronics industry. * Complete survey of numerical methods used in the electronic industry* Each chapter is selfcontained* Presents state-of-the-art applications and methods* Internationally recognised authors
Author : Alain Bensoussan,Qiang Zhang
Publisher : Elsevier
Page : 743 pages
File Size : 43,8 Mb
Release : 2009-06-16
Category : Mathematics
ISBN : 9780080931005
Mathematical finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical Methods in Finance addresses the three most important aspects in the field: mathematical models, computational methods, and applications, and provides a solid overview of major new ideas and results in the three domains. Coverage of all aspects of quantitative finance including models, computational methods and applications Provides an overview of new ideas and results Contributors are leaders of the field
Author : Philippe G. Ciarlet,Jacques-Louis Lions
Publisher : Gulf Professional Publishing
Page : 502 pages
File Size : 42,5 Mb
Release : 1990
Category : Mathematics
ISBN : 0444512470
Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 45,6 Mb
Release : 2010-09-14
Category : Mathematics
ISBN : 9781441964120
This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean
Author : Martha A. Tucker,Nancy D. Anderson
Publisher : Bloomsbury Publishing USA
Page : 362 pages
File Size : 55,7 Mb
Release : 2004-09-30
Category : Language Arts & Disciplines
ISBN : 9780313053375
This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.
Author : Eleuterio F. Toro
Publisher : Springer Science & Business Media
Page : 635 pages
File Size : 41,9 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783662039151
High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.
Author : Michel Deville,Thien-Hiep Lê,Yves Morchoisne
Publisher : Vieweg+Teubner Verlag
Page : 234 pages
File Size : 41,5 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783663002215
The GAMM-Commi ttee for Numerical Methods in Fluid Mechanics (GAMM-Fachausschuss für Numerische Methoden in der Strömungsmechanik) has sponsored the organization of a GAMM Workshop dedicated to the numerical simulation of three dimensional incompressible unsteady viscous laminar flows to test Navier-Stokes solvers. The Workshop was held in Paris from June 12th to June 14th, 1991 at the Ecole Nationale Superieure des Arts et Metiers. Two test problems were set up. The first one is the flow in a driven-lid parallelepipedic cavity at Re = 3200 . The second problem is a flow around a prolate spheroid at incidence. These problems are challenging as fully transient solutions are expected to show up. The difficulties for meaningful calculations come from both space and temporal discretizations which have to be sufficiently accurate to resol ve detailed structures like Taylor-Görtler-like vortices and the appropriate time development. Several research teams from academia and industry tackled the tests using different formulations (veloci ty-pressure, vortici ty velocity), different numerical methods (finite differences, finite volumes, finite elements), various solution algorithms (splitting, coupled ...), various solvers (direct, iterative, semi-iterative) with preconditioners or other numerical speed-up procedures. The results show some scatter and achieve different levels of efficiency. The Workshop was attended by about 25 scientists and drove much interaction between the participants. The contributions in these proceedings are presented in alphabetical order according to the first author, first for the cavi ty problem and then for the prolate spheroid problem. No definite conclusions about benchmark solutions can be drawn.