This comprehensive text provides basic fundamentals of computational theory and computational methods. The book is divided into two parts. The first part covers material fundamental to the understanding and application of finite-difference methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and heat transfer. The book is replete with worked examples and problems provided at the end of each chapter.
Part I: Fundamentals of Finite-Difference
Methods
1. Introduction
2. Partial Differential Equations
3. Basics of Finite-Difference Methods
4. Application of Finite-Difference Methods to
Selected Model Equations
Part 2: Application of Finite-Difference
Methods to the Equations of Fluid Mechanics
and Heat Transfer
5. Governing Equations of Fluid Mechanics
and Heat Transfer
6. Numerical Methods for Inviscid Flow
Equations
7. Numerical Methods for Boundary-Layer
Type Equations
8. Numerical Methods for the "Parabolized"
Navier-Stokes Equations
9. Numerical Methods for the Navier-Stokes
Equations
10. Grid Generation
Appendices, References, Index