Turbulence is the most fundamental and, simultaneously, the most complex form of fluid flow. However, because an understanding of turbulence requires an understanding of laminar flow, both are explored in this book.

Groundwork is laid by careful delineation of the necessary physical, mathematical, and numerical requirements for the studies which follow, and include discussions of N-body problems, classical molecular mechanics, dynamical equations, and the leap frog formulas for very large systems of second order ordinary differential equations.

Molecular systems are studied first in both two and three dimensions. Extension into the large is also of great interest, and it is for this purpose that we develop particle mechanics, which uses lump massing of molecules. All calculations are limited to a personal scientific computer, so that the methods can be utilized readily by others.

Contents:

• Mathematical, Physical, and Computational Preliminaries
• Molecular Cavity Flow of Argon Vapor in Two Dimensions
• Molecular Cavity Flow of Air Vapor in Two Dimensions
• Molecular Cavity Flow of Water Vapor in Two Dimensions
• Molecular Cavity Flow of Water Vapor in Three Dimensions
• Particle Models of Flow in Two Dimensions
• The Flow of Water Vapor Around a Flat Plate
• Extant Problems with Continuum Models

“This book will be of special interest to researchers, graduate students and industrialists in computational mathematics, computational physics and fluid mechanics.”