The emphasis in this book is on assisting engineering and physical science students in cultivating comprehensive skills in finite different methodology. Based on courses taught at Universiti Teknologi Malaysia, it ranges from fundamental concepts to practical computer implementations. Each technique in finite different is described from an implementation standpoint and full mathematical justification is discussed to add more understanding on the method. This introductory book is directed toward students without in-depth mathematical training which contain introductory material on the mathematical theory of finite different making it an ideal reference book for future work in engineering and science.
The text contains of five sections. The basic governing equations of fluid flow and heat transfer are provided in Section 1. The equations are thoroughly derived to serve as an introductory text for students from varied backgrounds. Coverage of the basic discretisation using finite difference technique is introduced in Section 2. The section briefly reviews the characteristics of partial differential equations that have important implications for the numerical schemes. Then, the basic discretisation techniques are highlighted and several popular discretisation techniques for solving basic fluid flow and heat equations are presented. Section 3 contains some solutions for solving simple fluid flow and heat transfer problems. The FORTRAN computer program codes for each example are shown. Section 4 deals with numerical solution to the problems that requires full solution to the Navier-Stokes equation. The section includes a discussion on implementing appropriate boundary conditions for specific problem case. Again, the FORTRAN computer program code are given for all examples.
Finally, in Section 5, the lattice Boltzmann method is introduced as the latest technique in solving fluid flow and heat transfer. The author wishes the readers the best of success in applying the method and looks forward to receiving comments regarding the contents of the book.