A Semi Stable Mixed Finite Element Method For Incompressible Flow Problems PDF Download
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Author | : D. J. Silvester |
Publisher | : |
Total Pages | : 19 |
Release | : 1986 |
Genre | : |
ISBN | : |
Download A Semi-stable Mixed Finite Element Method for Incompressible Flow Problems 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 | : Max D. Gunzburger |
Publisher | : Elsevier |
Total Pages | : 292 |
Release | : 2012-12-02 |
Genre | : Technology & Engineering |
ISBN | : 0323139825 |
Download Finite Element Methods for Viscous Incompressible Flows Book in PDF, ePub and Kindle
Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.
Author | : Mutsuto Kawahara |
Publisher | : Springer |
Total Pages | : 379 |
Release | : 2016-04-04 |
Genre | : Technology & Engineering |
ISBN | : 4431554505 |
Download Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows Book in PDF, ePub and Kindle
This book focuses on the finite element method in fluid flows. It is targeted at researchers, from those just starting out up to practitioners with some experience. Part I is devoted to the beginners who are already familiar with elementary calculus. Precise concepts of the finite element method remitted in the field of analysis of fluid flow are stated, starting with spring structures, which are most suitable to show the concepts of superposition/assembling. Pipeline system and potential flow sections show the linear problem. The advection–diffusion section presents the time-dependent problem; mixed interpolation is explained using creeping flows, and elementary computer programs by FORTRAN are included. Part II provides information on recent computational methods and their applications to practical problems. Theories of Streamline-Upwind/Petrov–Galerkin (SUPG) formulation, characteristic formulation, and Arbitrary Lagrangian–Eulerian (ALE) formulation and others are presented with practical results solved by those methods.
Author | : Max D. Gunzburger |
Publisher | : |
Total Pages | : 36 |
Release | : 1981 |
Genre | : |
ISBN | : |
Download On Conforming Mixed Finite Element Methods for Incompressible Viscous Flow Problems Book in PDF, ePub and Kindle
Author | : Hou-Cheng Huang |
Publisher | : Springer Science & Business Media |
Total Pages | : 225 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1447107993 |
Download Finite Element Analysis of Non-Newtonian Flow Book in PDF, ePub and Kindle
A follow on from the author's work "Finite Elements in Heat Transfer" which we published 11/94, and which is a powerful CFD programme that will run on a PC. The fluid flow market is larger than the previous, and this package is good value in comparison with other software packages in Computational Fluid Dynamics, which are generally very expensive. The work in general copes with non-Newtonian laminar flow using the finite element method, and some basic theory of the subject is included in the opening chapters of the book.
Author | : Michael D. S. Norburn |
Publisher | : |
Total Pages | : 0 |
Release | : 1999 |
Genre | : |
ISBN | : |
Download Numerical Analysis of Mixed Finite Element Methods for Incompressible Flow Book in PDF, ePub and Kindle
Author | : Volker John |
Publisher | : |
Total Pages | : |
Release | : 2015 |
Genre | : |
ISBN | : |
Download On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows Book in PDF, ePub and Kindle
The divergence constraint of the incompressible Navier-Stokes equations is revisited in the mixed finite element framework. While many stable and convergent mixed elements have been developed throughout the past four decades, most classical methods relax the divergence constraint and only enforce the condition discretely. As a result, these methods introduce a pressure-dependent consistency error which can potentially pollute the computed velocity. These methods are not robust in the sense that a contribution from the right-hand side, which in fluences only the pressure in the continuous equations, impacts both velocity and pressure in the discrete equations. This paper reviews the theory and practical implications of relaxing the divergence constraint. Several approaches for improving the discrete mass balance or even for computing divergence-free solutions will be discussed: grad-div stabilization, higher order mixed methods derived on the basis of an exact de Rham complex, H(div)-conforming finite elements, and mixed methods with an appropriate reconstruction of the test functions. Numerical examples illustrate both the potential effects of using non-robust discretizations and the improvements obtained by utilizing pressure-robust discretizations.
Author | : Michael D. S. Norburn |
Publisher | : |
Total Pages | : |
Release | : 1999 |
Genre | : |
ISBN | : |
Download Numerical Analysis of Mixed Finite Element Methods for Incompressible Flow Book in PDF, ePub and Kindle
Author | : Gresho |
Publisher | : |
Total Pages | : 300 |
Release | : 1999-05 |
Genre | : |
ISBN | : 9780471967903 |
Download Incompressible Flow and the Finite Element Method Book in PDF, ePub and Kindle