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

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.

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.

Professor N. K. Anand is a Regents Professor and James J. Cain '51 Professor III of Mechanical Engineering at Texas A&M University. He teaches and researches in the broad area of thermal sciences. Professor Anand is a recipient of the Association Former Students Distinguished Achievement Award in Teaching at the college level. He is an ASME Fellow and was awarded the 2020 ASME Harry Potter Gold Medal for 'outstanding contributions as a teacher of thermodynamics and related topics, and as a researcher who has advanced the state-of-the-art design of alternate refrigerant condensers, cooling strategies for electronic packages and aerosol transport lines'. He developed and continues to teach a course in the application of finite volume techniques to heat transfer and fluid flow for three decades.

Dr. Pratanu Roy is a Staff Scientist at Lawrence Livermore National Laboratory (LLNL), California. He obtained his Ph.D. in Mechanical Engineering from Texas A & M University in 2014. Dr. Roy conducts research in computational fluid dynamics (finite volume method, multigrid methods), high-performance computing for CFD, transport in Carbon Capture and Storage (CCS), and turbulence modelling. Dr. Roy is the recipient of the 2015 American Rock Mechanics Association (ARMA) best paper award. He has also received the 2020 LLNL Physical and Life Sciences Directorate award for spearheading a brand new mentoring program within the lab. In 2022, he was awarded National Nuclear Security Administration (NNSA) Defense Programs Awards of Excellence in recognition of his 'contributions developing and rapidly deploying the reaction sorption transport (ReSorT) moisture model.'