Fluid Dynamics

This book describes the derivation of the equations of motion of fluids as well as the dynamics of ocean and atmospheric currents on both large and small scales through the use of variational methods. In this way the equations of Fluid and Geophysical Fluid Dynamics are re-derived making use of a unifying principle, that is Hamilton’s Principle of Least Action.

This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from basic thermo-mechanical principles and the multi-dimensional and infinite-directional upstream procedure is developed by combining a finite element discretization of a characteristics-bias system with an implicit Runge-Kutta time integration. For the computational solution of the Euler and Navier Stokes equations, the procedure relies on the mathematics and physics of multi-dimensional characteristics. As a result, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows.

This second edition of the widely acclaimed Geophysical Fluid Dynamics by Joseph Pedlosky offers the reader a high-level, unified treatment of the theory of the dynamics of large-scale motions of the oceans and atmosphere. Revised and updated, it includes expanded discussions of * the fundamentals of geostrophic turbulence * the theory of wave-mean flow interaction * thermocline theory * finite amplitude barocline instability.

This book collects the main contributions from the 4th edition of the NICFD conference, organized by the Special Interest Group on Non-Ideal Compressible Fluid Dynamics (SIG- 49). It provides some of the latest research findings in the field of NICFD, relevant to a number of engineering applications related to the conversion of renewable and waste energy sources, like, e.g., organic Rankine cycles, super-critical CO2 cycle power plants, combustors operating with supercritical fluids, and heat pumps. The book reports on research encompassing theoretical, computational, and experimental aspects of the gas-dynamics of non-ideal reactive and non-reactive flows and their impact for the design of internal-flow components (turbomachinery, heat exchangers, combustors). All chapters address challenges related to characterizing the behaviour of non-ideal fluids, where state-of-the-art models are used to predict the thermo-physical properties of both pure and multi-phase fluids.

This volume is dedicated to computational fluid dynamics (CFD) and demonstrates a kind of modern optimization CFD methods, algorithms and applications, discusses the numerical solution of the Taylor vortex and the lid‐driven cavity problems.

This book collects the recent studies that have applied the computational fluid dynamics (CFD) technique in analyzing several representative processes covering mechanical engineering, chemical engineering, environmental engineering, and thermal engineering.

This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available.