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Introduction to the Numerical Analysis of Incompressible Viscous Flows

2008-01-01 Mathematics
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Release : 2008-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 902/5 ( reviews)

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Book Synopsis Introduction to the Numerical Analysis of Incompressible Viscous Flows by : William Layton

Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William Layton. This book was released on 2008-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to the Numerical Analysis of Incompressible Viscous Flows

2008 Fluid mechanics
Download Introduction to the Numerical Analysis of Incompressible Viscous Flows PDF Online Free

Author :
Release : 2008
Genre : Fluid mechanics
Kind : eBook
Book Rating : 918/5 ( reviews)

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Book Synopsis Introduction to the Numerical Analysis of Incompressible Viscous Flows by : William J. Layton

Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William J. Layton. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: 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

2022-09-20 Mathematics
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Release : 2022-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 056/5 ( reviews)

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Book Synopsis Numerical Simulation of Incompressible Viscous Flow by : Roland Glowinski

Download or read book Numerical Simulation of Incompressible Viscous Flow written by Roland Glowinski. This book was released on 2022-09-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spectral Methods for Incompressible Viscous Flow

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 576/5 ( reviews)

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Book Synopsis Spectral Methods for Incompressible Viscous Flow by : Roger Peyret

Download or read book Spectral Methods for Incompressible Viscous Flow written by Roger Peyret. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.

Numerical Methods for Two-phase Incompressible Flows

2011-04-26 Mathematics
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Release : 2011-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 861/5 ( reviews)

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Book Synopsis Numerical Methods for Two-phase Incompressible Flows by : Sven Gross

Download or read book Numerical Methods for Two-phase Incompressible Flows written by Sven Gross. This book was released on 2011-04-26. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.

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