Mathematical Aspects Of Finite Element Methods For Incompressible Viscous Flows PDF Download
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Author | : M. D. Gunzburger |
Publisher | : |
Total Pages | : 52 |
Release | : 1986 |
Genre | : |
ISBN | : |
Download Mathematical Aspects of Finite Element Methods for Incompressible Viscous Flows Book in PDF, ePub and Kindle
We survey some mathematical aspects of finite element methods for incompressible viscous flows, concentrating on the steady primitive variable formulation. We address the discretization of a weak formulation of the Navier Stokes equations; we then consider the div-stability condition, whose satisfaction insures the stability of the approximation. Specific choices of finite element spaces for the velocity and pressure are then discussed. Finally, the connection between different weak formulations and a variety of boundary conditions is explored.
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 | : |
Publisher | : |
Total Pages | : |
Release | : 198? |
Genre | : |
ISBN | : |
Download Mathematical Aspects of Finite Element Methods for Incompressible Viscous Flows Final Report Book in PDF, ePub and Kindle
Author | : William Layton |
Publisher | : SIAM |
Total Pages | : 220 |
Release | : 2008-01-01 |
Genre | : Mathematics |
ISBN | : 0898718902 |
Download Introduction to the Numerical Analysis of Incompressible Viscous Flows Book in PDF, ePub and Kindle
Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
Author | : Roland Glowinski |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 236 |
Release | : 2022-09-20 |
Genre | : Mathematics |
ISBN | : 3110785056 |
Download Numerical Simulation of Incompressible Viscous Flow Book in PDF, ePub and Kindle
This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.
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 | : William J. Layton |
Publisher | : |
Total Pages | : 213 |
Release | : 2008 |
Genre | : Fluid mechanics |
ISBN | : 9781680157918 |
Download Introduction to the Numerical Analysis of Incompressible Viscous Flows Book in PDF, ePub and Kindle
Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
Author | : Joe Iannelli |
Publisher | : Springer Science & Business Media |
Total Pages | : 744 |
Release | : 2006-09-24 |
Genre | : Science |
ISBN | : 3540453431 |
Download Characteristics Finite Element Methods in Computational Fluid Dynamics Book in PDF, ePub and Kindle
This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from first thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations.
Author | : Bo-nan Jiang |
Publisher | : Springer Science & Business Media |
Total Pages | : 425 |
Release | : 2013-03-14 |
Genre | : Science |
ISBN | : 3662037408 |
Download The Least-Squares Finite Element Method Book in PDF, ePub and Kindle
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.
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.