Alexandre Joć«l Chorin (2 results)

Paperback. Condition: New. Print on Demand. This book delves into the complex world of turbulent fluid flow, a phenomenon that has long fascinated scientists. The author tackles a fundamental question: how do the smaller scales of motion in turbulent fluids influence the larger scales? This question is addressed within the framework of the inertial range, a specific range of scales where the influence of initial conditions and boundaries is minimal. Building upon the groundbreaking work of Kolmogorov, who proposed a universal law for the inertial range spectrum, the author presents a novel approach based on a dynamic theory that utilizes the Navier-Stokes equations. This approach yields a new understanding of the energy cascade and the relationship between wave-number space cascades and physical-space intermittency. The author's analysis reveals that the inertial range spectrum is not universal as Kolmogorov had suggested, but rather exhibits a specific form dependent on the dimensionality of the flow. This rigorous exploration of the inertial range spectrum, coupled with a detailed analysis of the Navier-Stokes equations, offers a compelling and insightful perspective on a fundamental aspect of turbulent flow. This book is essential reading for anyone interested in fluid mechanics, theoretical physics, or the mathematical modeling of complex systems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.

Paperback. Condition: New. Print on Demand. This book presents an innovative finite difference method for solving the Navier-Stokes equations, which govern the motion of incompressible fluids. The method is unique in its use of primitive variables, eliminating the need for higher-order derived equations, making it applicable to problems in two or three spatial dimensions. The author provides a detailed explanation of the method, including the derivation of the governing equations and the numerical scheme used to solve them. Several test problems are presented, showcasing the method's accuracy and efficiency in capturing complex fluid dynamics. The book is particularly valuable for researchers and practitioners working in computational fluid dynamics and scientific computing. It offers a practical and versatile tool for solving a wide range of problems involving incompressible fluid flow, from fundamental research to engineering applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.