Riassunto
The numerical simulation of fluid mechanics and heat transfer problems is now a standard part of engineering practice. The widespread availability of capable computing hardware has led to an increased demand for computer simulations of products and processes during their engineering design and manufacturing phases. The range of fluid mechanics and heat transfer applications of finite element analysis has become quite remarkable, with complex, realistic simulations being carried out on a routine basis. The award-winning first edition of The Finite Element Method in Heat Transfer and Fluid Dynamics brought this powerful methodology to those interested in applying it to the significant class of problems dealing with heat conduction, incompressible viscous flows, and convection heat transfer. The Second Edition of this bestselling text continues to provide the academic community and industry with up-to-date, authoritative information on the use of the finite element method in the study of fluid mechanics and heat transfer. Extensively revised and thoroughly updated, new and expanded material includes discussions on difficult boundary conditions, contact and bulk nodes, change of phase, weighted-integral statements and weak forms, chemically reactive systems, stabilized methods, free surface problems, and much more. The Finite Element Method in Heat Transfer and Fluid Dynamics offers students a pragmatic treatment that views numerical computation as a means to an end and does not dwell on theory or proof. Mastering its contents brings a firm understanding of the basic methodology, competence in using existing simulation software, and the ability to develop some simpler, special purpose computer codes.
Contenuti
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
CONTRACTION MAPPINGS
Fixed Point Theorem
Chord Method
Newton's Method
The Newton-Raphson Method
Descent Methods
References for Additional Reading
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