By J. N. Reddy; N. K. Anand; P. Roy , Introduces the two most common numerical methods for heat transfer and fluid dynamics equations, using clear and accessible language. This unique approach covers all necessary mathematical preliminaries at the beginning of the book for the reader to sail smoothly through the chapters. Students will work step-by-step through the most common benchmark heat transfer and fluid dynamics problems, firmly grounding themselves in how the governing equations are discretized, how boundary conditions are imposed
, and how the resulting algebraic equations are solved. Providing a detailed discussion of the discretization steps and time approximations, and clearly presenting concepts of explicit and implicit formulations, this graduate textbook has everything an instructor needs to prepare students for their exams and future careers. Each illustrative example shows students how to draw comparisons between the results obtained using the two numerical methods, and at the end of each chapter they can test and extend their understanding by working through the problems provided. A solutions manual is also available for instructors.
Published by Cambridge University Press Print ISBN: 9781009275484
- Half-title
- Endorsement
- Title page
- Copyright information
- Contents
- Preface
- Dedication
- Symbols
- Part I Preliminaries
- 1 Mathematical Preliminaries
- 1.1 Introduction
- 1.2 Mathematical Models
- 1.2.1 Preliminary Comments
- 1.2.2 Types of Differential Equations
- 1.2.3 Examples of Mathematical Models
- 1.2.4 Numerical Solution of First-Order Ordinary Differential Equations
- 1.2.5 Partial Differential Equations and their Classification
- 1.3 Numerical Methods
- 1.3.1 Introduction
- 1.3.2 The Finite Difference Method
- 1.3.3 The Finite Volume Method
- 1.3.4 The Finite Element Method
- 1.4 Errors and Convergence
- 1.4.1 Types of Errors