Fluid Dynamics : Theory, Computation, and Numerical Simulation

This book provides an accessible introduction to the basic theory of fluid mechanics and computational fluid dynamics (CFD) from a modern perspective that unifies theory and numerical computation. Methods of scientific computing are introduced alongside with theoretical analysis and MATLAB® codes are presented and discussed for a broad range of topics: from interfacial shapes in hydrostatics, to vortex dynamics, to viscous flow, to turbulent flow, to panel methods for flow past airfoils. The third edition includes new topics, additional examples, solved and unsolved problems, and revised images. It adds more computational algorithms and MATLAB programs. It also incorporates discussion of the latest version of the fluid dynamics software library FDLIB, which is freely available online. FDLIB offers an extensive range of computer codes that demonstrate the implementation of elementary and advanced algorithms and provide an invaluable resource for research, teaching, classroom instruction, and self-study. This book is a must for students in all fields of engineering, computational physics, scientific computing, and applied mathematics. It can be used in both undergraduate and graduate courses in fluid mechanics, aerodynamics, and computational fluid dynamics. The audience includes not only advanced undergraduate and entry-level graduate students, but also a broad class of scientists and engineers with a general interest in scientific computing. Ready access to computers has de?ned a new era in teaching and learning. The opportunity to extend the subject matter of traditional science and engineering curricula into the realm of scienti?c computing has become not only desirable, but also necessary. Thanks to portability and low overhead and operating cost, experimentation by numerical simulation has become a viable substitute, and occasionally the only alternative, to physical experimentation. The new framework has necessitated the writing of texts and monographs from a modern perspective that incorporates numerical and computer progr- ming aspects as an integral part of the discourse. Under this modern directive, methods, concepts, and ideas are presented in a uni?ed fashion that motivates and underlines the urgency of the new elements, but neither compromises nor oversimpli?es the rigor of the classical approach. Interfacing fundamental concepts and practical methods of scienti?c c- puting can be implemented on di?erent levels. In one approach, theory and implementation are kept complementary and presented in a sequential fashion. In another approach, the coupling involves deriving computational methods and simulation algorithms, and translating equations into computer code - structions immediately following problem formulations. Seamlessly interjecting methods of scienti?c computing in the traditional discourse o?ers a powerful venue for developing analytical skills and obtaining physical insight. Front Matter....Pages i-xix Introduction to kinematics....Pages 1-62 More on kinematics....Pages 63-129 Flow computation based on kinematics....Pages 131-179 Forces and stresses....Pages 181-239 Hydrostatics....Pages 241-359 Equation of motion and vorticity transport....Pages 361-417 Channel, tube, and film flow....Pages 419-519 Finite-difference methods....Pages 521-590 Low-Reynolds-number flow....Pages 591-667 High-Reynolds-number flow....Pages 669-751 Vortex motion....Pages 753-802 Aerodynamics....Pages 803-851 Back Matter....Pages 853-901 This is the first book that extends the classical field of fluid dynamics into the realm of scientific computing. It is both comprehensive and accessible to the beginner. The book is supplemented by a free web-based software library, FDLIB, and MatLab We begin the study of fluid mechanics by pointing out the differences between fluids and solids, and by describing a flow in terms of the motion of elementary fluid parcels.