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

Více o knize

This text introduces two prevalent numerical methods for heat transfer and fluid dynamics, employing clear language for accessibility. It begins with essential mathematical preliminaries, enabling readers to navigate the chapters with ease. Students engage in step-by-step analyses of benchmark problems, gaining a solid understanding of how governing equations are discretized, boundary conditions applied, and algebraic equations solved. The book offers a thorough discussion of discretization and time approximations, presenting explicit and implicit formulations clearly. It serves as a comprehensive resource for instructors preparing students for exams and future careers. Each example illustrates comparisons between results from both numerical methods, and chapter-end problems allow students to test and deepen their understanding. A solutions manual is available for instructors. The content is organized into three parts: the first covers mathematical preliminaries and equations of heat transfer and fluid mechanics; the second focuses on the Finite Element Method, addressing steady-state and unsteady heat transfer, as well as viscous incompressible flows; the third explores the Finite Volume Method, detailing diffusion and advection-diffusion problems, along with advanced topics.