Implementation Of Finite Element Methods For Navier Stokes Equations PDF Download
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Author | : F. Thomasset |
Publisher | : Springer Science & Business Media |
Total Pages | : 168 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642870473 |
Download Implementation of Finite Element Methods for Navier-Stokes Equations Book in PDF, ePub and Kindle
In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.
Author | : François Thomasset |
Publisher | : Springer Verlag |
Total Pages | : 0 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : 9780387107714 |
Download Implementation of Finite Element Methods for Navier-Stokes Equations Book in PDF, ePub and Kindle
Author | : C. Cuvelier |
Publisher | : Springer Science & Business Media |
Total Pages | : 504 |
Release | : 1986-03-31 |
Genre | : Computers |
ISBN | : 9027721483 |
Download Finite Element Methods and Navier-Stokes Equations Book in PDF, ePub and Kindle
Author | : Volker John |
Publisher | : Springer |
Total Pages | : 816 |
Release | : 2016-10-27 |
Genre | : Mathematics |
ISBN | : 3319457500 |
Download Finite Element Methods for Incompressible Flow Problems Book in PDF, ePub and Kindle
This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.
Author | : Giovanni P. Galdi |
Publisher | : Birkhäuser |
Total Pages | : 300 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034884249 |
Download Fundamental Directions in Mathematical Fluid Mechanics Book in PDF, ePub and Kindle
This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.
Author | : Daniele Boffi |
Publisher | : Springer |
Total Pages | : 254 |
Release | : 2008-04-01 |
Genre | : Mathematics |
ISBN | : 3540783199 |
Download Mixed Finite Elements, Compatibility Conditions, and Applications Book in PDF, ePub and Kindle
Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.
Author | : Cedric Taylor |
Publisher | : |
Total Pages | : 264 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : |
Download Finite Element Programming of the Navier-Stokes Equations Book in PDF, ePub and Kindle
Author | : Vivette Girault |
Publisher | : Springer |
Total Pages | : 398 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : |
Download Finite Element Methods for Navier-Stokes Equations Book in PDF, ePub and Kindle
Author | : Cornelis Cuvelier |
Publisher | : |
Total Pages | : 0 |
Release | : 1986 |
Genre | : Finite element method |
ISBN | : |
Download Finite Element Methods and Navier-Stokes Equations Book in PDF, ePub and Kindle
Author | : Olivier Pironneau |
Publisher | : |
Total Pages | : 224 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : |
Download Finite Element Methods for Fluids Book in PDF, ePub and Kindle
Introduces the formulation of problems in fuild mechanics and dynamics, and shows how they can be analyzed and resolved using finite element methods. This practical book also discusses the equations of fluid mechanics and investigates the problems to which these equations can be applied, as well as how they can be analyzed and solved. Contains illustrations of computer simulations using the methods described in the book and features numerous illustrations.