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

J. N. Reddy, Texas A & M University, N. K. Anand, Texas A & M University, P. Roy, Lawrence Livermore National Laboratory, California

Online ISBN: 9781009275453

Online publication date: 27 January 2023

Hardback ISBN: 9781009275484

Hardback publication date: 26 January 2023

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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.

Continuum Thermodynamics and Material Modelling

Kari Santaoja, Aalto University, Finland, J. N. Reddy, Texas A & M University

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Online ISBN: 9781009043052

Expected online publication date: June 2024

Hardback ISBN: 9781316517352

Expected Hardback publication date: 30 June 2024

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This concise and rigorous textbook introduces students to continuum thermodynamics, combining a complete treatment of the subject with practical applications to material modelling. It presents mathematical prerequisites and the foundations of continuum mechanics, then introduces more advanced topics such as theories for the investigation of material models. Taking the student step-by-step through the subject, it allows full understanding of the theory and how it relates to real-world practical applications. Packed with examples and illustrations to describe complex concepts and mathematical derivations, and including end-of-chapter problems with helpful hints, this is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

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