ABSTRACT

This book contains the fundamental development of the finite analytic method and gives a systematic coverage of knowledge needed for numerical computation of fluid flows and heat transfer. It will be helpful to many including graduate students studying computational fluid dynamics and heat transfer.

part I|61 pages

Introduction to Computational Fluid Dynamics

chapter Chapter 1|3 pages

Introduction

chapter Chapter 2|21 pages

Governing Equations

chapter Chapter 3|7 pages

Classification of PDEs

chapter Chapter 4|6 pages

Well-Posed Problems

chapter Chapter 5|6 pages

Numerical Methods

chapter Chapter 6|15 pages

The Finite Difference Method

part II|90 pages

The Finite Analytic Method

chapter Chapter 7|4 pages

Basic Principles

chapter Chapter 8|9 pages

The One-Dimensional Case

chapter Chapter 9|15 pages

The Two-Dimensional Case

chapter Chapter 10|25 pages

The Three-Dimensional Case

chapter Chapter 11|12 pages

Stability and Convergence

chapter Chapter 12|11 pages

Hyperbolic PDEs

chapter Chapter 13|11 pages

Explicit Finite Analytic Method

part III|64 pages

Numerical Grid Generation

chapter Chapter 14|18 pages

Introduction to Grid Generation

chapter Chapter 15|14 pages

Elliptic Grid Generation

chapter Chapter 16|5 pages

Equations in ξ and η Coordinates

chapter Chapter 17|13 pages

Diagonal Cartesian Method

chapter Chapter 18|11 pages

FA Method on Diagonal Cartesian Coordinates

part IV|40 pages

Computational Considerations

chapter Chapter 19|12 pages

Velocity, Pressure and Staggered Grids

chapter Chapter 20|9 pages

Nonstaggered Grid Methods

chapter Chapter 21|16 pages

Boundary Conditions

part V|39 pages

Applications of the FA Method

chapter Chapter 22|8 pages

Turbulent Flows

chapter Chapter 23|9 pages

Turbulent Heat Transfer

chapter Chapter 24|10 pages

Complex Domain Flows

chapter Chapter 25|9 pages

Conjugate Heat Transfer