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Author : Cedric Taylor
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.F/5 ( download)
Download or read book Finite Element Programming of the Navier-Stokes Equations written by Cedric Taylor and published by . This book was released on 1981 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. Thomasset
Publisher : Springer Science & Business Media
ISBN 13 : 3642870473
Total Pages : 168 pages
Book Rating : 4.6/5 (428 download)
Download or read book Implementation of Finite Element Methods for Navier-Stokes Equations written by F. Thomasset and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : C. Cuvelier
Publisher : Springer Science & Business Media
ISBN 13 : 9027721483
Total Pages : 504 pages
Book Rating : 4.0/5 (277 download)
Download or read book Finite Element Methods and Navier-Stokes Equations written by C. Cuvelier and published by Springer Science & Business Media. This book was released on 1986-03-31 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cornelis Cuvelier
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book Finite Element Methods and Navier-Stokes Equations written by Cornelis Cuvelier and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vivette Girault
Publisher : Springer
ISBN 13 :
Total Pages : 398 pages
Book Rating : 4.3/5 (91 download)
Download or read book Finite Element Methods for Navier-Stokes Equations written by Vivette Girault and published by Springer. This book was released on 1986 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Volker John
Publisher : Springer
ISBN 13 : 3319457500
Total Pages : 816 pages
Book Rating : 4.3/5 (194 download)
Download or read book Finite Element Methods for Incompressible Flow Problems written by Volker John and published by Springer. This book was released on 2016-10-27 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Vivette Girault
Publisher :
ISBN 13 : 9783662197356
Total Pages : 220 pages
Book Rating : 4.1/5 (973 download)
Download or read book Finite Element Approximation of the Navier-Stokes Equations written by Vivette Girault and published by . This book was released on 2014-09-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vivette Girault
Publisher : Springer
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.F/5 ( download)
Download or read book Finite Element Approximation of the Navier-Stokes Equations written by Vivette Girault and published by Springer. This book was released on 1979 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Petter Langtangen
Publisher : Springer
ISBN 13 : 3319524623
Total Pages : 152 pages
Book Rating : 4.3/5 (195 download)
Download or read book Solving PDEs in Python written by Hans Petter Langtangen and published by Springer. This book was released on 2017-03-21 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, including the Poisson equation, the equations of linear elasticity, the incompressible Navier–Stokes equations, and systems of nonlinear advection–diffusion–reaction equations, it guides readers through the essential steps to quickly solving a PDE in FEniCS, such as how to define a finite variational problem, how to set boundary conditions, how to solve linear and nonlinear systems, and how to visualize solutions and structure finite element Python programs. This book is open access under a CC BY license.
Author : Hans Petter Langtangen
Publisher : Springer Science & Business Media
ISBN 13 : 3662011700
Total Pages : 704 pages
Book Rating : 4.6/5 (62 download)
Download or read book Computational Partial Differential Equations written by Hans Petter Langtangen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.
Author : Vivette Girault
Publisher : Springer Verlag
ISBN 13 : 9783540095576
Total Pages : 199 pages
Book Rating : 4.0/5 (955 download)
Download or read book Finite Element Approximation of the Navier-Stokes Equations written by Vivette Girault and published by Springer Verlag. This book was released on 1981-01-01 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Temam
Publisher : Elsevier
ISBN 13 : 1483256855
Total Pages : 539 pages
Book Rating : 4.4/5 (832 download)
Download or read book Navier—Stokes Equations written by Roger Temam and published by Elsevier. This book was released on 2016-06-03 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.
Author : Anders Logg
Publisher : Springer Science & Business Media
ISBN 13 : 3642230997
Total Pages : 723 pages
Book Rating : 4.6/5 (422 download)
Download or read book Automated Solution of Differential Equations by the Finite Element Method written by Anders Logg and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Author : Hsiao-Wen Lin
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (844 download)
Download or read book A Control-volume Finite-element Method for Navier-Stokes Equations written by Hsiao-Wen Lin and published by . This book was released on 1989 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : François Thomasset
Publisher : Springer Verlag
ISBN 13 : 9780387107714
Total Pages : 0 pages
Book Rating : 4.1/5 (77 download)
Download or read book Implementation of Finite Element Methods for Navier-Stokes Equations written by François Thomasset and published by Springer Verlag. This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George J. Fix
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)
Download or read book Stable Finite Elements for the Navier-Stokes Equations written by George J. Fix and published by . This book was released on 1981 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The use of arbitrary spaces to represent the velocities and pressures in the Navier-Stokes equations typically leads to unstable finite element approximations. We show in this paper that if spaces of piecewise polynomial functions are used and if the grid for the velocity field is sufficiently fine compared to the grid for the pressure, then the resulting finite element approximations are stable and converge at the optimal rates" -- abstract.
Author : Bo-nan Jiang
Publisher : Springer Science & Business Media
ISBN 13 : 3662037408
Total Pages : 425 pages
Book Rating : 4.6/5 (62 download)
Download or read book The Least-Squares Finite Element Method written by Bo-nan Jiang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.
