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Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.

Nonlinear systems. --- Dynamics. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Systems, Nonlinear --- System theory --- Statistical physics. --- Complex Systems. --- Numerical and Computational Physics, Simulation. --- Fluid- and Aerodynamics. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Statistical methods --- Dynamical systems. --- Physics. --- Fluids. --- Hydraulics --- Hydrostatics --- Permeability --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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Part textbook, part exploratory work, this book aims to raise the awareness of students, physicists, and engineers in turbulence on the modeling of gravitationally induced turbulent mixing flows as produced, for instance, by Rayleigh-Taylor instabilities. The discussion is centered on the differences between single-fluid and two-fluid approaches, and it is illustrated with a 0D analysis of two specific elementary models in common use. Important deviations are shown to appear on many features, among others the prominence of directed energy, the simultaneous restitution of test cases, the responses to variable acceleration and shocks, and the behavior of various length scales.

Fluid dynamic measurements. --- Fluid mechanics. --- Fluides, Dynamique des --- Mécanique des fluides --- Mesure --- Fluid dynamic measurements --- Fluid mechanics --- Civil Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Hydromechanics --- Fluid dynamics --- Measurements, Fluid dynamic --- Measurement --- Engineering. --- Fluids. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Hydraulic engineering. --- Engineering, Hydraulic --- Engineering --- Hydraulics --- Shore protection --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Continuum mechanics

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An exciting new direction in hydrodynamic stability theory and the transition to turbulence is concerned with the role of disconnected states or finite amplitude solutions in the evolution of disorder in fluid flows. This volume contains refereed papers presented at the IUTAM/LMS sponsored symposium on "Non-Uniqueness of Solutions to the Navier-Stokes equations and their Connection with Laminar-Turbulent Transition" held in Bristol 2004. Theoreticians and experimentalists gathered to discuss developments in understanding both the onset and collapse of disordered motion in shear flows such as those found in pipes and channels. The central objective of the symposium was to discuss the increasing amount of experimental and numerical evidence for finite amplitude solutions to the Navier-Stokes equations and to set the work into a modern theoretical context. The participants included many of the leading authorities in the subject and this volume captures much of the flavour of the resulting stimulating and lively discussions.

Laminar flow. --- Turbulence. --- Fluid dynamics --- Flow, Turbulent --- Turbulent flow --- Hydraulic engineering. --- Mathematical physics. --- Statistical physics. --- Engineering Fluid Dynamics. --- Mathematical Methods in Physics. --- Complex Systems. --- Fluid- and Aerodynamics. --- Statistical Physics and Dynamical Systems. --- Physics --- Mathematical statistics --- Physical mathematics --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Statistical methods --- Mathematics --- Fluid mechanics. --- Physics. --- Dynamical systems. --- Fluids. --- Mechanics --- Hydrostatics --- Permeability --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Hydromechanics --- Continuum mechanics

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Dimitris Drikakis is Professor and Head of Fluid Mechanics and Computational Science Group at Cranfield University, United Kingdom. His research interests include computational methods, modeling of turbulent flows, unsteady aerodynamics, flow instabilities, shock waves and gas dynamics, biological flows, computational nanotechnology and nanoscience, and high performance computing. William Rider is project and team leader in the Continuum Dynamics Group in the Computer and Computational Sciences Division of the Los Alamos National Laboratory (LANL), U.S.A. His principal interest is computational physics with an emphasis on fluid dynamics, radiation transport, turbulent mixing, shock physics, code verification, code validation and models for turbulence. This book covers the basic techniques for simulating incompressible and low-speed flows with high fidelity in conjunction with high-resolution methods. This includes techniques for steady and unsteady flows with high-order time integration and multigrid methods, as well as specific issues associated with interfacial and turbulent flows. The book is addressed to a broad readership, including engineers and scientists concerned with the development or application of computational methods for fluid flow problems in: Mechanical, Aerospace, Civil and Chemical Engineering, Biological Flows, Atmospheric and Oceanographic Applications as well as other Environmental disciplines. It can be used for teaching postgraduate courses on Computational Fluid Dynamics and Numerical Methods in Engineering and Applied Mathematics, and can also be used as a complementary textbook in undergraduate CFD courses.

Physics. --- Computer mathematics. --- Fluids. --- Acoustics. --- Computational intelligence. --- Fluid mechanics. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Computational Intelligence. --- Computational Science and Engineering. --- Hydromechanics --- Continuum mechanics --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Mathematics --- Fluid dynamics. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Fluid mechanics --- Hydraulic engineering. --- Engineering. --- Computer science. --- Informatics --- Science --- Construction --- Industrial arts --- Technology --- Engineering, Hydraulic --- Engineering --- Shore protection

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Hydronamics of Explosion presents the research results for the problems of underwater explosions and contains a detailed analysis of the structure and the parameters of the wave fields generated by explosions of cord and spiral charges, a description of the formation mechanisms for a wide range of cumulative flows at underwater explosions near the free surface, and the relevant mathematical models. Shock-wave transformation in bubbly liquids, shock-wave amplification due to collision and focusing, and the formation of bubble detonation waves in reactive bubbly liquids are studied in detail. Particular emphasis is placed on the investigation of wave processes in cavitating liquids, which incorporates the concepts of the strength of real liquids containing natural microinhomogeneities, the relaxation of tensile stress, and the cavitation fracture of a liquid as the inversion of its two-phase state under impulsive (explosive) loading. The problems are classed among essentially nonlinear processes that occur under shock loading of liquids and may be of interest to researchers in physical acoustics, mechanics of multiphase media, shock-wave processes in condensed media, explosive hydroacoustics, and cumulation.

Explosions. --- Hydrodynamics. --- Shock waves. --- Shock (Mechanics) --- Waves --- Fluid dynamics --- Accidents --- Mechanics. --- Engineering mathematics. --- Hydraulic engineering. --- Classical Mechanics. --- Theoretical, Mathematical and Computational Physics. --- Fluid- and Aerodynamics. --- Mathematical and Computational Engineering. --- Engineering Fluid Dynamics. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Engineering analysis --- Mathematical analysis --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mathematics --- Mathematical physics. --- Fluids. --- Applied mathematics. --- Fluid mechanics. --- Hydromechanics --- Continuum mechanics --- Mechanics --- Hydrostatics --- Permeability --- Physical mathematics