Classical Fluid Dynamics

This monograph is intended to provide a comprehensive description of the rela­ tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented.

Fluid Dynamics: Theory, Computation, and Numerical Simulation is the only available book that extends the classical field of fluid dynamics into the realm of scientific computing in a way that is both comprehensive and accessible to the beginner. The theory of fluid dynamics, and the implementation of solution procedures into numerical algorithms, are discussed hand-in-hand and with reference to computer programming. This book is an accessible introduction to theoretical and computational fluid dynamics (CFD), written from a modern perspective that unifies theory and numerical practice.

American violinist Rachel Lee Priday presents a new collection of world-premiere recordings for the violin, written by some of the foremost American composers of today, drawing on the laws of fluid dynamics and situating trailblazing new repertoire within the laws of physics. Following a chance encounter with an Ocean scientist in 2019, and later being contacted by Georgy Manucharyan of the University of Washington with fascinating videos of a fluid dynamics lab, Rachel Lee Priday sought a musical response to these visual phenomena.

American violinist Rachel Lee Priday presents a new collection of world-premiere recordings for the violin, written by some of the foremost American composers of today, drawing on the laws of fluid dynamics and situating trailblazing new repertoire within the laws of physics. Following a chance encounter with an Ocean scientist in 2019, and later being contacted by Georgy Manucharyan of the University of Washington with fascinating videos of a fluid dynamics lab, Rachel Lee Priday sought a musical response to these visual phenomena.

Fluid Dynamics: Theory, Computation, and Numerical Simulation is the only available book that extends the classical field of fluid dynamics into the realm of scientific computing in a way that is both comprehensive and accessible to the beginner.

The content of this book is based, largely, on the core curriculum in geophys­ ical fluid dynamics which I and my colleagues in the Department of Geophysical Sciences at The University of Chicago have taught for the past decade. Our purpose in developing a core curriculum was to provide to advanced undergraduates and entering graduate students a coherent and systematic introduction to the theory of geophysical fluid dynamics. The curriculum and the outline of this book were devised to form a sequence of courses of roughly one and a half academic years (five academic quarters) in length. The goal of the sequence is to help the student rapidly advance to the point where independent study and research are practical expectations. It quickly became apparent that several topics (e. g. , some aspects of potential theory) usually thought of as forming the foundations of a fluid-dynamics curriculum were merely classical rather than essential and could be, however sadly, dispensed with for our purposes. At the same time, the diversity of interests of our students is so great that no curriculum can truly be exhaust­ ive in such a curriculum period. It seems to me that the best that can be achieved as a compromise is a systematic introduction to some important segment of the total scope of geophysical fluid dynamics which is illustrative of its most fruitful methods.