The Finite Element Method for Fluid Dynamics.

Format:

Book

Author/Creator:

Taylor, R. L.

Contributor:

Nithiarasu, P.

Language:

English

Subjects (All):

Fluid dynamics.

Finite element method.

Physical Description:

1 online resource (598 pages)

Edition:

8th ed.

Place of Publication:

Chantilly : Elsevier Science & Technology, 2024.

Summary:

This book, 'The Finite Element Method for Fluid Dynamics', authored by Olek C. Zienkiewicz, Robert L. Taylor, and P. Nithiarasu, provides a comprehensive exploration of the finite element method as applied to fluid dynamics. The text covers fundamental equations of fluid dynamics, numerical methods, and advanced topics such as convection-dominated problems, turbulence modeling, compressible flows, and porous media. It is designed to serve as both a theoretical and practical guide, incorporating the latest developments in the field. The book is intended for researchers, practitioners, and graduate-level students in engineering and computational sciences, aiming to enhance understanding and application of finite element techniques in solving complex fluid dynamic problems. Generated by AI.

Contents:

Front Cover

The Finite Element Method for Fluid Dynamics

Copyright

Contents

List of figures

List of tables

Preface

1 The equations of fluid dynamics

1.1 General remarks and classification of fluid dynamics problems

1.2 The governing equations of fluid dynamics

1.2.1 Stresses in fluids

1.2.2 Constitutive relations for fluids

1.2.3 Mass conservation

1.2.4 Momentum conservation: dynamic equilibrium

1.2.5 Energy conservation and equation of state

1.2.6 Boundary conditions

1.2.7 Navier–Stokes and Euler equations

1.3 Inviscid, incompressible flow

1.3.1 Velocity potential solution

1.4 Incompressible (or nearly incompressible) flows

1.5 Concluding remarks

References

2 The finite element approximation

2.1 Introduction

2.2 Numerical solutions: weak forms, weighted residual and finite element approximation

2.2.1 Strong and weak forms

2.2.1.1 Weak form of equations

2.2.1.2 Weighted residual approximation

2.2.1.3 The Galerkin, finite element, method

2.2.2 A finite volume approximation Generated by AI.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

0-323-95887-7

OCLC:

1478692139