Constantine Pozrikidis ... 1296 pages - Publisher: Oxford Univ. Press; 2nd edition (September, 2011) ...
Language: English - ISBN-10: 0199752079 - ISBN-13: 978-0199752072 ...
This book discusses the fundamental principles and equations governing
the motion of incompressible Newtonian fluids, and simultaneously
introduces analytical and numerical methods for solving a broad range of
pertinent problems. Topics include an in-depth discussion of
kinematics, elements of differential geometry of lines and surfaces,
vortex dynamics, properties and computation of interfacial shapes in
hydrostatics, exact solutions, flow at low Reynolds numbers, interfacial
flows, hydrodynamic stability, boundary-layer analysis, vortex motion,
boundary-integral methods for potential and Stokes flow, principles of
computational fluid dynamics (CFD), and finite-difference methods for
Navier-Stokes flow. The discourse includes classical and original
topics, as well as derivations accompanied by solved and unsolved
problems that illustrate the theoretical results and explain the
implementation of the numerical methods. Appendices provide a wealth of
information and establish the necessary mathematical and numerical
framework. A unique and comprehensive synthesis of the essential
aspects of the discipline, this volume serves as an ideal textbook in
several graduate courses on theoretical and computational fluid
dynamics, applied mathematics, and scientific computing. The material is
an indispensable resource for professionals and researchers in various
fields of science, chemical, mechanical, biomechanical, civil and
aerospace engineering.