Introduction to the numerical analysis of incompressible viscous flows / William Layton.

Format:

Book

Author/Creator:

Layton, W. J. (William J.)

Contributor:

Society for Industrial and Applied Mathematics.

Series:

Computational science and engineering ; 6.

Computational science and engineering series ; 6

Language:

English

Subjects (All):

Viscous flow--Mathematical models.

Viscous flow.

Numerical analysis.

Fluid mechanics.

Physical Description:

1 electronic text (xix, 213 p.) : ill., digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2008.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

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.

Contents:

Mathematical preliminaries: energy and stress

Approximating scalars

Vector and tensor analysis

Approximating vector functions

The equations of fluid motion

The steady Navier-Stokes equations

Approximating steady flows

The time-dependent Navier-Stokes equations

Approximating time-dependent flows

Models of turbulent flow

Appendix nomenclature.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on title page of print version.

ISBN:

0-89871-890-2

1-68015-791-4

Publisher Number:

CS06 siam

CS06 SIAM