Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics
Published on 27. October 2022
Book
Hardback
402 pages
978-1-009-27548-4 (ISBN)
Description
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.
Reviews / Votes
'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 UniversityMore details
Language
English
Place of publication
Cambridge
United Kingdom
Illustrations
Worked examples or Exercises
Dimensions
Height: 250 mm
Width: 175 mm
Thickness: 26 mm
Weight
874 gr
ISBN-13
978-1-009-27548-4 (9781009275484)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Professor J. N. Reddy is a Distinguished Professor, Regents Professor, and holder of the O'Donnell Foundation Chair IV in the Department of Mechanical Engineering at Texas A & M University. As the author of twenty-four textbooks and several hundred journal papers, and a highly-cited researcher, Professor Reddy is internationally-recognized for his research and education in applied and computational mechanics. The finite element formulations and models he developed have been implemented into commercial software like ABAQUS, NISA, and HyperXtrude (Altair). He has won many major awards from professional societies (e.g., The S.P. Timoshenko Medal from ASME, the von Karman Medal from ASCE, the von Neumann Medal from USACM, and the Gauss-Newton Medal from IACM), and he is a fellow of AAM, AIAA, ASC, ASCE, ASI, ASME, IACM, and USACM. He is a member of the US National Academy of Engineering and Foreign Fellow of the Brazilian National Academy of Engineering, the Canadian Academy of Engineering, the Chinese Academy of Engineering, the Indian National Academy of Engineering, the Royal Academy of Engineering of Spain, the European Academy of Sciences, and the European Academy of Sciences and Arts.
Content
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.