Finite element techniques for fluid flow / J. J. Connor, C. A. Brebbia.

Format:

Book

Author/Creator:

Connor, J. J. (Jerome J.), author.

Brebbia, C. A., author.

Language:

English

Subjects (All):

Finite element method.

Fluid dynamics.

Physical Description:

1 online resource (321 p.)

Place of Publication:

London, [England] ; Sydney, Australia : Butterworths Group, 1976.

Language Note:

English

Summary:

Finite Element Techniques for Fluid Flow describes the advances in the applications of finite element techniques to fluid mechanics. Topics covered range from weighted residual and variational methods to interpolation functions, inviscid fluids, and flow through porous media. The basic principles and governing equations of fluid mechanics as well as problems related to dispersion and shallow water circulation are also discussed. This text is comprised of nine chapters; the first of which explains some basic definitions and properties as well as the basic principles of weighted residual and var

Contents:

Front Cover; Finite Element Techniques for Fluid Flow; Copyright Page; Preface; Table of Contents; Chapter 1. Weighted Residual and Variational Methods; 1.1 Basic definitions; 1.2 Weighted residual methods; 1.3 Weak formulations; 1.4 Initial value problems; 1.5 The case of quadratic functional; 1.6 Rayleigh-Ritz method; 1.7 Subsidiary conditions; BIBLIOGRAPHY; EXERCISES; Chapter 2. The Finite Element Technique; 2.1 Localised functions; 2.2 The finite element technique; 2.3 Element matrices; 2.4 System equations; 2.5 Solution of the system; 2.6 The general program; REFERENCES; EXERCISES

Chapter 3. Interpolation Functions3.1 Introduction; 3.2 First-order continuity functions for triangular elements; 3.3 First-order continuity functions for rectangular elements; 3.4 Isoparametric elements; 3.5 Second-order continuity functions for rectangular elements; 3.6 Second-order continuity functions for triangular elements; REFERENCES; EXERCISES; Chapter 4. Basic Principles and Governing Equations of Fluid Mechanics; 4.1 Eulerian and Lagrangian formulations: material derivative; 4.2 Deformation rate measures; 4.3 Equilibrium equations; 4.4 The energy equation

4.5 Constitutive equations-Newtonian fluid4.6 Navier-Stokes equations-incompressible Newtonian fluid; 4.7 The principle of virtual power; 4.8 Turbulence; BIBLIOGRAPHY; EXERCISES; Chapter 5. Inviscid Fluids; 5.1 Basic principles; 5.2 Bernoulli's principle; 5.3 The wave equation; 5.4 Harmonic response of coastal waters; 5.5 Stream function formulation; 5.6 Cylindrical coordinates; REFERENCES; BIBLIOGRAPHY; EXERCISES; Chapter 6. Flow Through Porous Media; 6.1 Principles of groundwater flow; 6.2 Confined seepage problems; 6.3 Problems involving free surfaces; 6.4 Transient free surface flow

6.5 Confined aquifer analysis6.6 Unconfined aquifer analysis; REFERENCES; BIBLIOGRAPHY; EXERCISES; Chapter 7. Shallow Water Circulation Problems; 7.1 Shallow water equations; 7.2 Finite element formulation; 7.3 Numerical integration schemes; 7.4 Lake circulation; REFERENCES; EXERCISES; Chapter 8. Dispersion Problems; 8.1 Introduction; 8.2 The mass transfer equation; 8.3 Diffusion problems; 8.4 Diffusion and convection problems; 8.5 Nonlinear diffusion; REFERENCE; BIBLIOGRAPHY; EXERCISES; Chapter 9. Viscous Incompressible Flow Problems; 9.1 Introduction; 9.2 Basic principles

9.3 Stream function-vorticity approach9.4 Pressure and velocities approach; 9.5 Free surface flow; REFERENCES; Appendix: Numerical integration formulae; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4831-6116-1