Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics

A unified and accessible introduction for graduate courses in computational fluid dynamics and heat transfer.

J. N. Reddy (Author), N. K. Anand (Author), P. Roy (Author)

9781009275484, Cambridge University Press

Hardback, published 27 October 2022

402 pages
25 x 17.5 x 2.2 cm, 0.87 kg

'I am delighted to recommend this textbook to beginners and early career researchers wanting to work in computational heat and fluid flow problems. This book is a useful tool for teaching postgraduate and senior undergraduate courses and will be an excellent addition to the bookshelves of senior researchers.' Perumal Nithiarasu, Swansea University

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.

Part I. Preliminaries: 1. Mathematical Preliminaries
2. Equations of Heat Transfer and Fluid Mechanics
3. Solution Methods for Algebraic Equations
Part II. The Finite Element Method: 4. The Finite Element Method: Steady-State Heat Transfer
5. The Finite Element Method: Unsteady Heat Transfer
6. Finite Element Analysis of Viscous Incompressible Flows
Part III. The Finite Volume Method: 7. The Finite Volume Method: Diffusion Problems
8. The Finite Volume Method: Advection-Diffusion Problems
9. Finite Volume Methods for Viscous Incompressible Flows
10. Advanced Topics.

Subject Areas: Mechanics of fluids [TGMF], Mechanics of solids [TGMD], Engineering thermodynamics [TGMB], Mathematical modelling [PBWH], Computational linguistics [CFX]