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book: Numerical Simulation of Incompressible Viscous Flow
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Numerical Simulation of Incompressible Viscous Flow

Methods and Applications
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Language: English
Published/Copyright: 2022
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De Gruyter Series in Applied and Numerical Mathematics

About this book

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.

This book discusses finite element based computational methods for solving incompressible viscous fluid flow problems. Fundamental aspects of the computational methodologies, and extensions for advanced engineering applications are also presented.

Author / Editor information

Roland Glowinski† and Tsorng-Whay Pan, University of Houston, USA.

Topics

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    Frontmatter

    I
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    Preface

    IX
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    Contents

    XIII
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    1 Governing equations

    1
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    2 Operator splitting methods for initial value problems: Application to the Navier–Stokes equations

    13
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    3 Advection problems

    23
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    4 Numerical solution of the generalized Stokes-type subproblems

    37
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    5 Finite-element approximation of the Navier–Stokes equations

    79
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    6 Numerical experiments: Description and results

    117
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    7 Further applications (I): A distributed Lagrange multiplier/fictitious-domain method for simulating lid-driven viscous flows in a hemispherical cavity

    144
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    8 Further applications (II): On the simulation of the lid-driven cavity flow of an Oldroyd-B fluid

    164
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    9 Further applications (III): A distributed Lagrange multiplier/fictitious-domain method for simulating particles settling in an Oldroyd-B fluid

    180
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    Bibliography

    203
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    Index

    213
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
September 20, 2022
eBook ISBN:
9783110785012
Hardcover published on:
September 20, 2022
Hardcover ISBN:
9783110784916
Pages and Images/Illustrations in book
Front matter:
16
Main content:
216
Illustrations:
47
Coloured Illustrations:
10
https://doi.org/10.1515/9783110785012
eBook ISBN: 9783110785012
Hardcover ISBN: 9783110784916
Keywords for this book
Navier-Stokes Equations; viscous flow; numerical experiments; finite element methods.
Audience(s) for this book
Institutional Libraries, graduate students and researchers doing work in computational fluid dynamics and mathematics.
Safety & product resources
Downloaded on 22.4.2026 from https://www.degruyterbrill.com/document/doi/10.1515/9783110785012/html
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