Finite element and finite volume methods for heat transfer and fluid dynamics
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Bibliographic Information
Finite element and finite volume methods for heat transfer and fluid dynamics
Cambridge University Press, c2023
- : hard
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Note
Includes bibliographical references and index
Description and Table of Contents
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.
Table of Contents
- 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.
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