ABSTRACT

This book is a follow-up to the introductory text written by the same authors. The primary emphasis on this book is linear and nonlinear partial differential equations with particular concentration on the equations of viscous fluid motion. Each chapter describes a particular application of the finite element method and illustrates the concepts through example problems. A comprehensive appendix lists computer codes for 2-D fluid flow and two 3-D transient codes.

chapter 1|9 pages

Introduction

chapter 2|10 pages

Basic Equations of Fluid Dynamics

chapter 3|87 pages

Fundamental Concepts

chapter 4|66 pages

Higher Order Elements

chapter 5|34 pages

Numerical Integration

chapter 6|47 pages

Nonlinearity

chapter 7|56 pages

Time Dependence

chapter 8|44 pages

Steady State Convective Transport

chapter 9|46 pages

Time-Dependent Convection-Diffusion

chapter 10|61 pages

Viscous Incompressible Fluid Flow

chapter 11|69 pages

Mesh Generation

chapter 12|36 pages

Further Applications