Finite Element Methods for Viscous Incompressible Flows

Finite Element Methods for Viscous Incompressible Flows PDF

Author: Max D. Gunzburger

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 292

ISBN-13: 0323139825

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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.

Finite Element Methods for Viscous Incompressible Flows

Finite Element Methods for Viscous Incompressible Flows PDF

Author: Max D. Gunzburger

Publisher:

Published: 1989

Total Pages: 304

ISBN-13:

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In this book, the author 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.

Finite Element Methods for Flow Problems

Finite Element Methods for Flow Problems PDF

Author: Jean Donea

Publisher: John Wiley & Sons

Published: 2003-06-02

Total Pages: 366

ISBN-13: 9780471496663

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Die Finite-Elemente-Methode, eines der wichtigsten in der Technik verwendeten numerischen Näherungsverfahren, wird hier gründlich und gut verständlich, aber ohne ein Zuviel an mathematischem Formalismus abgehandelt. Insbesondere geht es um die Anwendung der Methode auf Strömungsprobleme. Alle wesentlichen aktuellen Forschungsergebnisse wurden in den Band aufgenommen; viele davon sind bisher nur verstreut in der Originalliteratur zu finden.

Introduction to the Numerical Analysis of Incompressible Viscous Flows

Introduction to the Numerical Analysis of Incompressible Viscous Flows PDF

Author: William Layton

Publisher: SIAM

Published: 2008-01-01

Total Pages: 220

ISBN-13: 0898718902

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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.

Numerical Simulation of Incompressible Viscous Flow

Numerical Simulation of Incompressible Viscous Flow PDF

Author: Roland Glowinski

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2022-09-20

Total Pages: 236

ISBN-13: 3110785056

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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.

Handbook of Numerical Analysis

Handbook of Numerical Analysis PDF

Author: Philippe G. Ciarlet

Publisher: Gulf Professional Publishing

Published: 1990

Total Pages: 1187

ISBN-13: 9780444512246

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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

Finite Element Methods for Incompressible Flow Problems

Finite Element Methods for Incompressible Flow Problems PDF

Author: Volker John

Publisher: Springer

Published: 2016-10-27

Total Pages: 812

ISBN-13: 3319457500

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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.

Characteristics Finite Element Methods in Computational Fluid Dynamics

Characteristics Finite Element Methods in Computational Fluid Dynamics PDF

Author: Joe Iannelli

Publisher: Springer Science & Business Media

Published: 2006-09-24

Total Pages: 744

ISBN-13: 3540453431

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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.

Computation of Viscous Incompressible Flows

Computation of Viscous Incompressible Flows PDF

Author: Dochan Kwak

Publisher: Springer Science & Business Media

Published: 2010-12-14

Total Pages: 294

ISBN-13: 9400701934

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This monograph is intended as a concise and self-contained guide to practitioners and graduate students for applying approaches in computational fluid dynamics (CFD) to real-world problems that require a quantification of viscous incompressible flows. In various projects related to NASA missions, the authors have gained CFD expertise over many years by developing and utilizing tools especially related to viscous incompressible flows. They are looking at CFD from an engineering perspective, which is especially useful when working on real-world applications. From that point of view, CFD requires two major elements, namely methods/algorithm and engineering/physical modeling. As for the methods, CFD research has been performed with great successes. In terms of modeling/simulation, mission applications require a deeper understanding of CFD and flow physics, which has only been debated in technical conferences and to a limited scope. This monograph fills the gap by offering in-depth examples for students and engineers to get useful information on CFD for their activities. The procedural details are given with respect to particular tasks from the authors’ field of research, for example simulations of liquid propellant rocket engine subsystems, turbo-pumps and the blood circulations in the human brain as well as the design of artificial heart devices. However, those examples serve as illustrations of computational and physical challenges relevant to many other fields. Unlike other books on incompressible flow simulations, no abstract mathematics are used in this book. Assuming some basic CFD knowledge, readers can easily transfer the insights gained from specific CFD applications in engineering to their area of interest.