The Finite Element Method in Heat Transfer and Fluid Dynamics

The Finite Element Method in Heat Transfer and Fluid Dynamics

by J. N. Reddy, D.K. Gartling

Hardcover

$115.95

Product Details

ISBN-13: 9780849394102
Publisher: Taylor & Francis
Publication date: 06/27/1994
Series: Computational Mechanics and Applied Analysis Series
Pages: 416
Product dimensions: 7.00(w) x 10.00(h) x 1.10(d)

Table of Contents

EQUATIONS OF HEAT TRANSFER AND FLUID MECHANICS

Present Study

Governing Equations of a Continuum

Governing Equations in Terms of Primitive Variables

Porous Flow Equations

Auxiliary Transport Equations

sChemically Reacting Systems

Boundary Conditions

sChange of Phase

Enclosure Radiation

Summary of Equations

THE FINITE ELEMENT METHOD: AN OVERVIEW

Model Differential Equation

Finite Element Approximation

Weighted-Integral Statements and Weak Forms

Finite Element Model

Interpolation Functions

Assembly of Elements

Time-Dependent Problems

Axisymmetric Problems

Convective Boundary Conditions

Library of Finite Elements

Numerical Integration

Modeling Considerations

Illustrative Examples

3D CONDUCTION HEAT TRANSFER

Semidiscrete Finite Element Model

Interpolation Functions

Numerical Integration

Computation of Surface Fluxes

Semidiscrete Finite Element Model

Solution of Nonlinear Equations

Radiation Solution Algorithms

Variable Properties

sPost-Processing Operations

sAdvanced Topics in Conduction

sExamples of Diffusion Problems

VISCOUS INCOMPRESSIBLE FLOWS

Mixed Finite Element Model

Penalty Finite Element Models

Finite Element Models of Porous Flow

Computational Considerations

Solution of Nonlinear Equations

Time-Approximation Schemes

sStabilized Methods

Post-Processing

sAdvanced Topics

Advanced Topics - Turbulence

Numerical Examples

CONVECTIVE HEAT TRANSFER

Mixed Finite Element Model

Penalty Finite Element Model

Finite Element Models of Porous Flow

Solution Methods

Convection with Change of Phase

Convection with Enclosure Radiation

Post-Computation of Heat Flux

Advanced Topics - Turbulent Heat Transfer

Advanced Topics - Chemically Reacting Systems

Numerical Examples

sNON-NEWTONIAN FLUIDS

Governing Equations of Inelastic Fluids

Finite Element Models of Inelastic Fluids

Solution Methods for Inelastic Fluids

Governing Equations of Viscoelastic Fluids

Finite Element Model of Differential Form

Finite Element Model of Integral Form

Unresolved Problems

Numerical Examples

sCOUPLED PROBLEMS

Coupled Boundary Value Problems

Fluid Mechanics and Heat Transfer

Solid Mechanics

Electromagnetics

Coupled Problems in Mechanics

Implementation of Coupled Algorithms

Numerical Examples

sADVANCED TOPICS

Parallel Processing

Other Topics

Note: Chapters also include an Introduction, Exercises, and References

APPENDIX A: COMPUTER PROGRAM--HEATFLOW

Heat Transfer and Related Problems

Flows of Viscous Incompressible Fluids

Description of the Input Data

A Source Listings of Selective Subroutines

Reference

sAPPENDIX B: SOLUTION OF LINEAR EQUATIONS

Introduction

Direct Methods

Iterative Methods

References for Additional Reading

sAPPENDIX C: FIXED POINT METHODS AND

Fixed Point Theorem

Chord Method

Newton's Method

The Newton-Raphson Method

Descent Methods

References for Additional Reading

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