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Book
Stability and Wave Motion in Porous Media
Author:
ISBN: 9780387765433 0387765417 9780387765419 1441926267 9786611926984 1281926981 0387765433 Year: 2008 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Abstract

This book describes several tractable theories for fluid flow in porous media while the important mathematical questions about structural stability and spatial decay are addressed. Thermal convection and stability of other flows in porous media are covered and a chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed, and waves in an elastic body with voids are investigated. Acoustic waves in porous media are also analysed in some detail. A chapter is included on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathematical Sciences at Durham University, United Kingdom.

Environmental Stratified Flows
Authors: ---
ISBN: 9783211380789 3211284087 9783211284087 3211380787 Year: 2005 Publisher: Vienna : Springer Vienna : Imprint: Springer,

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Abstract

Stratified flows, common in environmental and geophysical applications, are char­ acterized by the variation of fluid density in the vertical direction that can result in qualitative and quantitative modifications of the flow patterns by buoyancy . Unstable stratification (dense water/air above light water/air) increases the ver­ tical mixing by generation of convective cells while stable stratification generally suppresses vertical mixing of mass and momentum. Even so, a stably stratified fluid can support internal waves, instabilities and turbulence that play a critical role in transport and mixing. The ocean is predominantly subject to stable stratification which, under exter­ nal excitation, supports an environment of internal waves which may then break and generate turbulence. Wind forcing, currents and convective plumes are other sources of turbulence in the ocean. In the ocean, stratified turbulence mediates the upward transport of bottom water, nutrients, chemical and biological species, and pollutants. In the atmosphere, stratification affects the transport of pollutants released at ground level, a critical problem being the thermal inversion in urban areas that causes the stagnation of pollutants and small particulate (PM2.5 to PMIO) in the lower part of the atmospheric boundary layer. In buildings, strat­ ification governs the circulation of air and heat in natural ventilation systems.


Book
Ocean Modelling for Beginners : Using Open-Source Software
Author:
ISBN: 3642008194 9786612509520 1282509527 3642008208 9783642008191 9783642008207 Year: 2009 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Offers an introduction to computer-based modelling of oceanic processes. This title contains over twenty practical exercises, using freely available Open-Source software, and covers a range of topics from long surface waves, geostrophic flows, through to the general wind-driven circulation including western boundary currents and mesoscale eddies.

Waves in Geophysical Fluids : Tsunamis, Rogue Waves, Internal Waves and Internal Tides
Authors: --- ---
ISBN: 9783211693568 3211374604 9783211374603 3211693564 Year: 2006 Publisher: Vienna : Springer Vienna : Imprint: Springer,

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This volume - Waves in Geophysical Fluids - contains extended versions of the lec­ tures that were given at a summerschool in Centre International des Sciences Mecaniques (CISM), Udine, Italy, during the week of 11-15 July 2005. The subjects of the school covered: the formation of the very long tsunamis, the much shorter rogue waves taking place on the sea surface, very large oceanic internal waves and, finally, internal tides and hot spots in the ocean. The subjects were chosen because of their implications to the safety of human activity in and in relation to the ocean environment, and the impact of the processes to the ocean currents and climate. The physical phenomena and how to mathematically and numerically model them were described in the lectures. The giant and destructive tsunami that occurred in the Indian Ocean on the 26th December 2004 urged scientists to communicate to the authorities and public the existing knowledge of tsunami wave modelling, and how the forecasts can be used for warning and evacuation of the people in the near shore region, corresponding to what is practice along the coasts of the Pacific Ocean. The first chapter of this book is precicsely describing the current practice of the forecasting and risk evaluation of tsunamis, and includes also an overview of the geograpical distribution of tsunami sources in the world's oceans.


Book
Spectral methods for uncertainty quantification : with applications to computational fluid dynamics
Authors: ---
ISBN: 9789048135202 9789048135196 9048135192 9789048135257 9786612928109 9048135206 1282928104 Year: 2010 Publisher: Dordrecht : Springer,

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This book presents applications of spectral methods to problems of uncertainty propagation and quantification in model-based computations, focusing on the computational and algorithmic features of these methods most useful in dealing with models based on partial differential equations, in particular models arising in simulations of fluid flows. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundations associated with probability and measure spaces. A brief discussion is provided of only those theoretical aspects needed to set the stage for subsequent applications. These are demonstrated through detailed treatments of elementary problems, as well as in more elaborate examples involving vortex-dominated flows and compressible flows at low Mach numbers. Some recent developments are also outlined in the book, including iterative techniques (such as stochastic multigrids and Newton schemes), intrusive and non-intrusive formalisms, spectral representations using mixed and discontinuous bases, multi-resolution approximations, and adaptive techniques.

Keywords

Mathematics. --- Computational Science and Engineering. --- Fluid- and Aerodynamics. --- Numerical and Computational Physics. --- Partial Differential Equations. --- Discrete Mathematics in Computer Science. --- Computational complexity. --- Differential equations, partial. --- Computer science. --- Mathématiques --- Complexité de calcul (Informatique) --- Informatique --- Fluid dynamics --- Mathematical models. --- Fluid dynamics -- Mathematical models. --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Applied Mathematics --- Civil Engineering --- Mathematics - General --- Mathematical models --- Spectral theory (Mathematics) --- Physics. --- Computer mathematics. --- Fluids. --- Spectroscopy. --- Microscopy. --- Spectroscopy and Microscopy. --- Computational Mathematics and Numerical Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Analysis, Microscopic --- Light microscopy --- Micrographic analysis --- Microscope and microscopy --- Microscopic analysis --- Optical microscopy --- Optics --- Analysis, Spectrum --- Spectra --- Spectrochemical analysis --- Spectrochemistry --- Spectroscopy --- Chemistry, Analytic --- Interferometry --- Radiation --- Wave-motion, Theory of --- Absorption spectra --- Light --- Spectroscope --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Models, Mathematical --- Simulation methods --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Qualitative --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Monograph

Nonlinear Waves in Fluids: Recent Advances and Modern Applications
Author:
ISBN: 9783211380253 3211252592 9783211252598 3211380256 Year: 2005 Publisher: Vienna : Springer Vienna : Imprint: Springer,

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Abstract

Although nonlinear waves occur in nearly all branches of physics and engi­ neering, there is an amazing degree of agreement about the fundamental con­ cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence of analogous unifying comcepts. The pervasiveness of the soliton concept is amply demonstrated by the ubiquity of such models as the Korteweg-de Vries equation and the nonlinear Schrodinger equation. Similarly, there is a universality in the study of wave-wave interactions, whether determin­ istic or statistical, and in the recent developments in the theory of wave-mean flow interactions. The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004. . Like the lectures given there the text covers asymptotic methods for the derivation of canonical evolution equations, such as the Kortew- de Vries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applica­ tions. These themes are interlocked, and this will be demonstrated throughout the text . The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications have been found.

Keywords

Engineering. --- Engineering Fluid Dynamics. --- Math. Applications in Geosciences. --- Applications of Mathematics. --- Mathematical Methods in Physics. --- Fluids. --- Continuum Mechanics and Mechanics of Materials. --- Mathematics. --- Mathematical physics. --- Materials. --- Hydraulic engineering. --- Ingénierie --- Mathématiques --- Physique mathématique --- Fluides --- Matériaux --- Technologie hydraulique --- Fluid dynamics. --- Nonlinear wave equations. --- Nonlinear waves. --- Wave-motion, Theory of. --- Nonlinear waves --- Fluid dynamics --- Wave-motion, Theory of --- Nonlinear wave equations --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Mathematics --- Civil Engineering --- Undulatory theory --- Earth sciences. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Continuum mechanics. --- Fluid mechanics. --- Earth Sciences, general. --- Fluid- and Aerodynamics. --- Mechanics --- Wave equation --- Dynamics --- Fluid mechanics --- Nonlinear theories --- Waves --- Geography. --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Engineering, Hydraulic --- Engineering --- Hydraulics --- Shore protection --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Quantum theory --- Physical mathematics --- Math --- Science --- Cosmography --- Earth sciences --- World history --- Mathematics --- Hydrostatics --- Permeability --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Engineering analysis --- Mathematical analysis --- Geosciences --- Environmental sciences --- Hydromechanics --- Continuum mechanics

Atmospheric Convection: Research and Operational Forecasting Aspects
Authors: --- ---
ISBN: 9783211692912 3211489630 9783211489635 3211692916 Year: 2007 Publisher: Vienna : Springer Vienna : Imprint: Springer,

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Abstract

A book on atmospheric convection treated in detail from different angles including the theoretical aspects of atmospheric deep convection and the weather phenomena related to convection. The problem of boundary conditions that result in severe convective weather patterns is explored within the framework of worldwide climatology and weather forecasting, including forecast verification, by means of their dynamic and thermodynamic properties. The book aims to bridge the gap between theory and its operational application both within the fields of weather forecasting and that of risk management. It addresses itself to meteorologists, physicists and weather forecasters, but will also be invaluable to PhD students attending courses on environment fluid dynamics and meteorology. Each chapter is practically self-contained and there are no propaedeutic sections that the reader needs to peruse before moving on to the more advanced ones.

Control of fluid flow
Authors: ---
ISBN: 9783540360858 3540251405 9783540251408 9786613437945 1283437945 3540360859 Year: 2006 Publisher: Berlin, Germany : Springer,

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Abstract

Flow Control and Optimization is increasingly incorporated in the design of engineering devices ranging from aircraft and space vehicles to micro?uidic devices. Research in this ?eld aims to integrate knowledge in ?ow physics with theoretical advances and novel experimental capabilities and engineering devices capable of materializing advanced design concepts. In turn controlled ?ow phenomena exhibit a new arrays of physics and open frontiers for further interdisciplinary research in ?uid mechanics and all the engineering domains that it a?ects. This collection of papers in ?ow control, showcases representatives lines of work in the area of ?ow control demonstrating the interdisciplinary character and high scienti?c merit of this ?eld. The authors of these articles are among the pioneering researchers in this ?eld and continue to explore the frontiers in ?ow control and optimization. We hope that this volume, while largely representing work by the authors prior to 2004, contributes in providing an authoritative report on this rapidly changing ?eld.

Keywords

Engineering. --- Control , Robotics, Mechatronics. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Statistical Physics, Dynamical Systems and Complexity. --- Systems Theory, Control. --- Complexity. --- Systems theory. --- Physics. --- Hydraulic engineering. --- Control engineering systems. --- Ingénierie --- Physique --- Technologie hydraulique --- Oil hydraulic machinery --- Fluid dynamics --- Mathematical optimization --- Control theory --- Mechanical Engineering --- Mechanical Engineering - General --- Engineering & Applied Sciences --- Fluid dynamics. --- Mathematical optimization. --- Control theory. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- System theory. --- Fluids. --- Statistical physics. --- Dynamical systems. --- Complexity, Computational. --- Fluid mechanics. --- Control engineering. --- Robotics. --- Mechatronics. --- Control, Robotics, Mechatronics. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Engineering instruments --- Programmable controllers --- Hydromechanics --- Continuum mechanics --- Complexity, Computational --- Electronic data processing --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Hydraulics --- Hydrostatics --- Permeability --- Systems, Theory of --- Systems science --- Science --- Construction --- Industrial arts --- Technology --- Statistical methods --- Philosophy --- Dynamics --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Fluid mechanics --- Complex Systems. --- Engineering, Hydraulic --- Engineering --- Shore protection --- Computational complexity.


Book
Parallel computational fluid dynamics 2008 : parallel numerical methods, software development and applications
Author:
ISBN: 9783642144387 3642144381 9783642144370 3642144373 9786612996665 1282996665 Year: 2010 Publisher: Heidelberg [etc.] : Springer

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This book collects the proceedings of the Parallel Computational Fluid Dynamics 2008 conference held in Lyon, France. Contributed papers by over 40 researchers representing the state of the art in parallel CFD and architecture from Asia, Europe, and North America examine major developments in (1) block-structured grid and boundary methods to simulate flows over moving bodies, (2) specific methods for optimization in Aerodynamics Design, (3) innovative parallel algorithms and numerical solvers, such as scalable algebraic multilevel preconditioners and the acceleration of iterative solutions, (4) software frameworks and component architectures for parallelism, (5) large scale computing and parallel efficiencies in the industrial context, (6) lattice Boltzmann and SPH methods, and (7) applications in the environment, biofluids, and nuclear engineering.

Keywords

informatica --- Mathematical physics --- Fluid mechanics --- theoretische fysica --- Engineering sciences. Technology --- informaticaonderzoek --- ingenieurswetenschappen --- vloeistofstroming --- Computer science --- aerodynamica --- Computational fluid dynamics --- Parallel processing (Electronic computers) --- 519.63 --- 681.3*G18 --- CFD (Computational fluid dynamics) --- Fluid dynamics --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Partitial differential equations: domain decomposition methods; elliptic equations; finite difference methods; finite element methods; finite volume methods; hyperbolic equations; inverse problems; iterative solution techniques; methods of lines; multigrid and multilevel methods; parabolic equations; special methods --- Computer simulation --- Data processing --- Engineering mathematics. --- Computer aided design. --- Computer science. --- Classical and Continuum Physics. --- Mathematical and Computational Engineering. --- Computer-Aided Engineering (CAD, CAE) and Design. --- Computational Science and Engineering. --- Fluid- and Aerodynamics. --- Theoretical, Mathematical and Computational Physics. --- Informatics --- Science --- CAD (Computer-aided design) --- Computer-assisted design --- Computer-aided engineering --- Design --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Continuum physics. --- Applied mathematics. --- Computer-aided engineering. --- Computer mathematics. --- Fluids. --- Mathematical physics. --- Physical mathematics --- Physics --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Computer mathematics --- Electronic data processing --- CAE --- Classical field theory --- Continuum physics --- Continuum mechanics

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