Computational fluid dynamics: Principles and applications. Incl. 1 CD-ROM (Q2770465)

This book provides a fundamental and comprehensive presentation of numerical methodologies employed in the current computational fluid dynamics (CFD). Numerical techniques, such as finite differences, finite elements and finite volumes, are extensively employed in CFD in our days. They often offer the only means of solutions for practical engineering problems. The text addresses both theoretical bases for the solution of problems embodying fluid flow behaviour and algorithms necessary for efficient and robust computer implementation. Concrete applications and validation studies are also included. NEWLINENEWLINENEWLINEThe book begins with an excellent presentation of the historical development of CFD and its applications in the field of aircraft, turbomachinery, car and ship design, meteorology, oceanography, astrophysics, oil recovery, magnetohydrodynamics, etc. In chapters 2 and 3 attention is paid to the equations of motion of inviscid fluid (Euler equations), of viscous fluid (Navier-Stokes equations), and to the so-called governing equations in integral form, as well as to the principles of solutions of governing equations. In chapters 4 and 5 the author presents a series of different numerical schemes which were developed for efficient solution of Euler and Navier-Stokes equations. These are both structured and unstructured finite volume schemes, because of their broad application possibilities, especially for solving complex flow problems frequently encountered in practical applications. The most popular explicit and implicit time-stepping methods used to integrate the unsteady governing equations with respect to time are described in chapter 6. In chapter 7, various well-proven and widely applied turbulence models of varying level of complexity are presented in detail. Further, chapter 8 deals with the description of boundary conditions for different situations like solid walls, outlet, far field, symmetry plane, periodic and block boundaries. Chapter 9 describes numerical methods developed to accelerate the solution of Navier-Stokes equations, such as implicit residual smoothing and multigrid techniques, as well as the preconditioning method for flows where the Mach number varies between nearly zero and transonic or high values. In chapter 10, the author presents consistency, accuracy and stability analysis of CFD codes for various model equations. The most important methodologies for generation of structured or unstructured body-fitted grids around complex geometries are discussed in chapter 11.NEWLINENEWLINENEWLINEChapter 12, the last chapter of the book, describes the contents of the attached CD-ROM and the capabilities of particular programs. Contained are sources of quasi one-dimensional Euler, as well as of two-dimensional Euler structured and unstructured flow solvers. Also, source codes of two-dimensional structured algebraic and elliptic grid generators are included, together with a convertor from structured to unstructured grids. Additionally, two programs are provided to conduct linear stability analysis of explicit and implicit time-stepping schemes. All source codes are written in standard FORTRAN-77.NEWLINENEWLINENEWLINEThe book ends with an appendix and index. The appendix contains governing equations presented in differential form, as well as their characteristic properties, formulations of governing equations in rotating frame of reference and for moving grids, Jacobian and transformation matrices from conservative to characteristic variables for two and three dimensions, the generalized minimal residual algorithm and an explanation of tensor notation. It should be mentioned that each chapter of the book contains an extensive list of references, which may form the basis for further studies. There are also included 121 nice and suggestive figures and graphs into the book. NEWLINENEWLINENEWLINEThe book will interest theoretical and applied mathematicians, as well as physicists and engineers, especially in the aerospace, chemical, civil, environmental and geophysical areas, within all of which CFD plays the central role in the modeling of many practical fluid flow problems. It gives insight into both the nature of pure mathematics, and the way in which mathematics can be applied to real problems. The reviewer is of the opinion that this book is very well prepared and of high quality.