Physics: Fluid mechanics Books

Book SynopsisThis is the first volume of a two volume set which presents the results of the 31st International Symposium on Shock Waves (ISSW31), held in Nagoya, Japan in 2017. It was organized with support from the International Shock Wave Institute (ISWI), Shock Wave Research Society of Japan, School of Engineering of Nagoya University, and other societies, organizations, governments and industry. The ISSW31 focused on the following areas: Blast waves, chemical reacting flows, chemical kinetics, detonation and combustion, ignition, facilities, diagnostics, flow visualization, spectroscopy, numerical methods, shock waves in rarefied flows, shock waves in dense gases, shock waves in liquids, shock waves in solids, impact and compaction, supersonic jet, multiphase flow, plasmas, magnetohyrdrodynamics, propulsion, shock waves in internal flows, pseudo-shock wave and shock train, nozzle flow, re-entry gasdynamics, shock waves in space, Richtmyer-Meshkov instability, shock/boundary layer interaction, shock/vortex interaction, shock wave reflection/interaction, shock wave interaction with dusty media, shock wave interaction with granular media, shock wave interaction with porous media, shock wave interaction with obstacles, supersonic and hypersonic flows, sonic boom, shock wave focusing, safety against shock loading, shock waves for material processing, shock-like phenomena, and shock wave education. These proceedings contain the papers presented at the symposium and serve as a reference for the participants of the ISSW 31 and individuals interested in these fields.Table of ContentsChapter1.Aerodynamic Testing at Duplicated Hypersonic Flight Conditions with Hyper-Dragon.- Chapter2.Shock wave research: Remembrance of Professor I. I. Glass.- Chapter3.Legacy at T5.- Chapter4.Experimental studies of shock wave phenomena at the Ben Gurion University ? A Review.- Chapter5.Shock Compression Spectroscopy Under a Microscope.- Chapter6.Research on Shock-induced Aerothermodynamics for Future Planetary Explorations.- Chapter7.Kinetic shock Tubes: Recent developments for The study of homogeneous and heterogeneous chemical processs.- Chapter8.Structure and Unsteadiness of 3D Shock Wave / Turbulent Boundary Layer Interactions..- Chapter9.Propagation Behavior and Mitigation of Shock Wave along Water inside a Rectangular Tube.- Chapter10.Dust Lofting behind shock waves what is the dominate Lofting Mechanism.- Chapter11.Development of a fast running method for blast wave propagation.- Chapter12.On the Energy Exchange Mechanisms Controlling Blast and Fragment Evolution in a Responding Stone Pipe .- Chapter13.Interaction of a Blast Wave with a Material Interface.- Chapter14.Laboratory simulation of explosions using conical shock tubes.- Chapter15.Shock Tube Study of the Effect of Nitric Oxide Addition on Ignition Delay Times of n-Dodecane/Air Mixtures.- Chapter16.Ignition Delay Times of Methane and Hydrogen Highly Diluted in Carbon Dioxide.- Chapter17.A Study of the Chemiluminescence of СН*, ОН*, С2* and СО2* during the Oxidation of C2H2 behind Reflected Shock Waves .- Chapter18.A Study on Soot Formation Characteristics of a Gasoline Surrogate Fuel Using a Shock Tube.- Chapter19.Effect of Dimethyl Methylphosphonate (DMMP) Addition on H2, CH4, and C2H4 ignition Behind Reflected Shock Waves.- Chapter20.CO and H2O Time-histories in a Shock-heated H2S/CH4 Blend near Atmospheric Pressure.- Chapter21.Thermochemical nonequilibrium modeling of O2.- Chapter22.State-Resolved Transport Properties of Electronically Excited High-Temperature Flows behind Strong Shock Waves.- Chapter23.Oxygen Catalytic Recombination on Titanium Surface.- Chapter24.Computations of a Shock Layer Flow with a Vibrational-Specific Kinetics Model.- Chapter25.A One-dimensional Modeling of Seed-electron Generation and Electron Avalanche in Laser-supported Detonation.- Chapter26.PLIF-based concentration measurement of OH behind the blast wave emanating from an oxy-hydrogen detonation-driven shock tube.- Chapter27.Flame Propagation over the Heat Absorbing Substrate.- Chapter28.Propagation Mechanism of Detonations in Rough Walled Tube.- Chapter29.Effect of hydrodynamic instabilities on the development of hydrogen-air flame.- Chapter30.Characteristics of Crumpling Behavior of Graphene Oxide and Its Effects on Deflagration-to-Detonation Transition.- Chapter31.Detonation decay and flame propagation through a channel with porous walls.- Chapter32.Gas Flow with Stabilized Detonation in a Plane Channel.- Chapter33.Numerical Investigation on Vibrational Nonequilibrium Effect on ZND detonation model.- Chapter34.Stabilities of Rotating Detonation.- Chapter35.The influence of shock reflections on detonation re-initiation.- Chapter36.Experimental studies around shock tube for dynamic calibrations of high-frequency pressure transducers.- Chapter37.Effect of Imaging Blurring on 3D Computed Tomography of Chemiluminescence.- Chapter38.Time-Resolved Optical Flow of Supersonic Beveled Nozzles.- Chapter39.The Effect of Adaptive Sampling on Fluorescence Velocimetry Measurements in High-Speed Flows.- Chapter40.High-resolution background oriented schlieren technique for a laser-induced underwater shock wave.- Chapter41.Evaluation of the effect of an air plasma on the degradation of metallic coatings based on an analysis of the emission from the air behind the front of strong shock waves in the spectral range of 120－400 nm .- Chapter42.Application of NO Laser Induced Fluorescence in JF-10 Detonation-Driven Shock Tunnel.- Chapter43.Molecular Tagging Velocimetry of NH Fluorescence in a High-enthalpy Rarefied Gas Flow.- Chapter44.Measurements of Jet A-1 Vapor Concentration Using Quantum Cascade Laser.- Chapter45.Temperature Measurement in a Shock Tunnel Using Tunable Diode Laser Absorption Spectroscopy.- Chapter46.Measurement and Formulation of Velocity, Attitude and Trajectory of Moving Object Using Magnet-Coil Method for High-Speed Penetration Experiment.- Chapter47.Investigations of density field on a flat plate shock-boundary layer interaction at Hypersonic speeds using BOS.- Chapter48.Schlieren Tomography to Visualise Three Dimensional Supersonic Flows.- Chapter49.Interaction of a planar shock wave with a water surface.- Chapter50.Basic Experiment on Focusing Schieren PIV Method with LED Light Source.- Chapter51.Boundary-Layer Transition Detection at High Enthalpy Flow Conditions using Temperature-Sensitive Paint .- Chapter52.Development of Sprayable Ultrafast-PSP for Unsteady Flow.- Chapter53.Three-Dimensional Measurement of the Lateral Jet / Cross Flow Interaction Field by Colored-Grid Background Oriented Schlieren (CGBOS) Technique.- Chapter54.Numerical Investigation of Dust Lifting Induced by Vertical Shock Wave.- Chapter55.Gas Surface Interaction of Carbon Ablator in a Shock Tube.- Chapter56.Numerical Simulations of Shock Wave Interaction with a Water Droplet by Sharp Interface Methods.- Chapter57.High Order Hybrid Compact-WENO-Z Finite Difference Scheme for Hyperbolic Conservation Laws.- Chapter58.A fast mathematical modelling method for aerodynamic-heating predictions.- Chapter59.A Multi-Space Interrelation Theory for Correlating Aerodynamic Data from Hypersonic Ground Testing.- Chapter60.Reynolds Stress Models for Shock ? Turbulence Interaction.- Chapter61.On the analysis of full-spectrum k-distributions databases for thermal radiation in shock waves within CO2 rich atmospheres.- Chapter62.Measurement of Electron Density by Heterodyne Interferometer for Atmospheric Pressure Plasmas.- Chapter63.Parametrical Quasiresonant Amplification of Alfven Waves in Heat-Releasing Isentropic Unstable Medium .- Chapter64.Two-Dimensional MHD Structures in Heat-Releasing Plasma.- Chapter65.Mode transition from fast gas-ionization wave to laser-supported detonation wave.- Chapter66.Gas-Dynamic Flow behind Shock Wave Initiated by a Sliding Surface Discharge Channel.- Chapter67.Jet Formation of SF6 Bubble Induced by Incident and Reflected Shock Waves.- Chapter68.Interaction of Cylindrical Converging Shock Wave with SF6 Gas Bubble.- Chapter69.Numerical Study on Converging Richtmyer-Meshkov Instability.- Chapter70.Light/heavy converging Richtmyer-Meshkov instability in a conventional shock tube.- Chapter71.The Imploding Cylindrical Richtmyer-Meshkov Instability with a Two-Fluid Plasma Model.- Chapter72.Experimental Study on a Single-mode Interface Impacted by a Converging Shock.- Chapter73.The Richtmyer-Meshkov instability of a flat interface initiated by a perturbed shock.- Chapter74.A study of variable density mixing with reshock.- Chapter75.Wave Patterns in the Interaction of an Incident Shock with a Heavy Elliptic Gas Cylinder.- Chapter76.Reshocked Richtmyer-Meshkov instability: Numerical study on interface stretch and vortex cores characterization .- Chapter77.Self-generated magnetic fields in the plasma Richtmyer-Meshkov instability.- Chapter78.The Evolution of a Square SF6 Gas Cylinder Impacted by a Converging Shock Wave.- Chapter79.Electron shock dynamics in the two-fluid plasma Richtmyer-Meshkov instability.- Chapter80.The Evolution of Concentration and Velocity-Fluctuations in the Richtmyer-Meshkov Instability.- Chapter81.Numerical Investigation of High-Temperature Effects in a Shock-Bubble Interaction..- Chapter82.Transmitted wave of shock wave through various materials.- Chapter83.Numerical investigation of the interaction between a planar shock wave with a square bubble containing different gases.- Chapter84.Underwater Shock Wave by Explosion in a Closed Space.- Chapter85.Collision of underwater explosion with compressible porous wall.- Chapter86.Disturbance Waves behind the Shock Propagating through Non-uniform Gas.- Chapter87.Study on Mach stem shape of the asymmetric Mach reflection.- Chapter88.Experimental and numerical investigations of a shock wave propagation through a bifurcation.- Chapter89.The Reflection of Cylindrical Shock-Waves on Cylindrical Walls.- Chapter90.On InMR-TRR Transition on a Concave Cylindrical Reflector.- Chapter91.Reflection of a Planar Shock Wave over a Concave Double Wedge.- Chapter92.Shock Wave Reflections from a Plane of Symmetry.- Chapter93.The influence of short acting pressure driver pulses on the behavior of shock waves in micro shock tubes .- Chapter94.Investigation of an Expansion Fan/Shock Wave Interaction between High Aspect Ratio Wedges.- Chapter95.Interaction of multiple cylindrical expanding shock waves.- Chapter96.Shock Interaction on a V-shaped Blunt Leading Edge.- Chapter97.Delayed Ventilation of Partially Confined Detonation Products by Shock Reflection from a Convergent Nozzle Opening.- Chapter98.Geometrical perception of convex surface reflections.- Chapter99.Numerical Simulation of Supersonic/Hypersonic Flow for TSTO's Staging Separation.- Chapter100.Experimental Study of Normal Shock Wave-Isotropic Turbulence Interaction Using Counter-Driver Shock Tube.- Chapter101.Numerical Studies on Form of Weak Shock Reflection over Wedges.- Chapter102.Shock Wave Generation Method using High-Speed Jet.- Chapter103.Analytical Prediction of Mach Stem Height for Asymmetric Wedge Reflection in 2-D Steady Flows.- Chapter104.Upstream Pressure Induced MR-RR Shock Transitions.- Chapter105.Revisiting Shock Propagation in a Temperature Gradient.- Chapter106.On Hysteresis at Axisymmetric Curved Shock Reflection from an Axial Cylinder.- Chapter107.Singularity formation in the geometry of perturbed shocks.- Chapter108.A Generalized Form of the Simplified Bernoulli Trial Collision Scheme Applied to Shock Waves.- Chapter109.On a Problem of Shock Wave Structure.- Chapter110.Ab Initio Simulation of Shock Waves propagating through gaseous mixtures.- Chapter111.Comparison of DSMC Chemistry Models for Shock Tube Simulations in the Nitrogen at Rarefied and Continuum Regime.- Chapter112.Experimental and Numerical Studies on Plume Structures of Micro-Nozzles Operating at High Vacuum Conditions.- Chapter113.DSMC Study on Hypersonic Flow past a Rectangular Cylinder.- Chapter114.INFLUENCE OF PHASE TRANSITIONS COMPONENTS OF MIXTURES ON THERMODYNAMIC PARAMETERS OF SHOCK-WAVE LOADING.- Chapter115.Experimental study of the ejection of particles from the shock-loaded metals.- Chapter116.PHASE TRANSITIONS OF TITANIUM UNDER DYNAMIC LOADING.- Chapter117.RESULTS OF INVESTIGATIONS OF PHASE TRANSITIONS OF SHOCK COMPRESSED METALS.- Chapter118.Shock wave propagation through heterogeneous cementitious composites.- Chapter119.Equation of state and phase transformations of zirconium in shock waves.- Chapter120.Reynolds number effects on Shock-wave boundary layer interaction in a hypersonic flow.- Chapter121.Numerical Study for Interactions between Separation on Supersonic Flow and Laser-Induced Blast Wave.- Chapter122.Schlieren-based Characterization of Separation Shock Unsteadiness in Shock Wave/Turbulent Boundary Layer Interactions with Separation.- Chapter123.Experimental study of hypersonic shock wave / transitional boundary layer interaction.- Chapter124.Micro-Vortex Generator Controlled Shock-Boundary Layer Interactions in Supersonic Intake.- Chapter125.MVG Control on Supersonic Compression Ramp Flow.- Chapter126.Improvement of pressure recovery in a duct by repetitive laser energy depositions.- Chapter127.Unsteadiness of Cowl Shock/Convex Corner Interaction in an Inlet.- Chapter128.Incident shock/turbulent boundary layer interactions on concave walls.- Chapter129.Experimental Study of Unsteadiness in Axisymmetric Step-induced Shock Wave/Turbulent Boundary Layer Interactions .- Chapter130.Numerical study of shock wave-boundary layer interaction in cylinder-flare configuration.- Chapter131.A Study on Turbulent Transition of Unsteady Boundary Layer Induced by Weak-Compression Wave.- Chapter132.Passive Control of Hypersonic Separated Flow around Spiked Bodies .- Chapter133.Surface Heat Transfer of Tertiary Gas Mixtures with Roughness Controlled..- Chapter134.Effect of Dielectric Barrier Discharge Plasma Actuators (DBD-PA) on Boundary Layer Separation Control in Hypersonic Flows.- Chapter135.Numerical simulations of transverse jet in supersonic crossflow toward an understanding of interaction mechanism.- Chapter136.Shock Induced Corner Separation in Supersonic Duct Flows.- Chapter137.Forced Boundary Layer Transition Experiments on a Multi-wedge in a Gun Tunnel.- Chapter138.Aft-body effects on lip shock-wave laminar free-interaction.- Chapter139.Temperature Distribution Measurement for the Comprehension of the Interaction Phenomena between the Shock Wave and the DC Discharged Field.- Chapter140.An interaction between shock wave and vortex induced by small volume high pressure shock tube .- Chapter141.Experimental Study on Grid Turbulence Interacting with a Spherical Shock wave.- Chapter142.Numerical Study of Variable Density Turbulence Interaction with Shock Waves.- Chapter143.Measurement of Velocity Fluctuations and Overpressure of Spherical Shock Wave in Grid Turbulence.- Chapter144.The influence of the high-pressure part length on shock waves exiting from an open tube.- Chapter145.Robust and low-dissipation explicit formulation of improved adaptive WCNS scheme.- Chapter146.Direct Numerical Simulations of Interaction Between Planar Shock Wave and Homogeneous Isotropic Turbulence at Low Turbulent Mach Number.- Chapter147.Numerical Analysis of Shockwave Diffraction .- Chapter148.Investigations on Compressible Mixing Layers by Using Hot-wire Velocimetry.- Chapter149.Spectral Radiant Intensity Calculation of Air in Shock tube.

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Book SynopsisDieses Fachbuch ist ein zuverlässiger Ratgeber bei der richtigen und zweckmäßigen Auswahl von Abwasserpumpen. Es zeigt sehr anschaulich den aktuellen Entwicklungsstand mit aussagekräftigen Fotos und Abbildungen zur Abwasser- und Klärtechnik. Dabei werden die besonderen Anforderungen an die Abwasser- und Tauchmotorpumpen sowie die Rührwerke, Kennfelder und Kennlinien sowie Antriebe und Unterwassermotorpumpen fokussiert. Table of ContentsEinleitung.- Klär- und Abwasseranlagen.- Pumpenbauarten und -anlagen.- Laufräder für Abwasserpumpen.- Kennfelder und Kennlinien von Abwasserpumpen.- Elektrische Antriebsmotoren.- Auslegung und Berechnung von Pumpen.- Drehkolbenpumpen.- Exzenterschneckenpumpen.- Lager-und Wellendichtungen.- Simulation von Abwasser- und Saugbecken.- Automatisierung von Klär- und Abwasserpumpenanlagen.

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Book SynopsisLesen Sie in diesem Buch alles über das komplexe Fachgebiet der StrömungslehreJoseph H. Spurks und Nuri Aksels erfolgreiches Lehrbuch „Strömungslehre“ entwickelt die Einzeldisziplinen der modernen Strömungslehre aus den allgemein gültigen Prinzipien der Kontinuumsmechanik nach dem Grundsatz „vom Allgemeinen zum Besonderen“. Diese Vorgehensweise fördert das Bewusstsein und die Fähigkeit, komplexe strömungsmechanische Vorgänge auf diese allgemein gültigen Prinzipien zurückzuführen. Das Buch schult somit die Abstraktionsfähigkeit und verleiht Sicherheit im Umgang mit den Vereinfachungen, aus denen die zahlreichen Einzeldisziplinen der modernen Strömungslehre erwachsen. Es richtet sich an:• Ingenieure • Studenten der Ingenieurwissenschaften• Physiker • Anwendungsorientierte MathematikerDer Aufbau des Lehrbuchs im ÜberblickIn Spurks und Aksels Strömungslehre-Buch werden zunächst die Grundlagen der Kontinuumsmechanik besprochen. Dieser erste Teil des Lehrbuches enthält eine anschauliche Einführung in:• Die Kinematik• Die kontinuumstheoretische Formulierung der mechanischen und thermodynamischen Bilanzsätze • Die Theorie der Materialgesetze und -gleichungenAnschließend stellen die Autoren die Bewegungsgleichungen für spezielle Materialgleichungen vor. Im zweiten Teil ihres Buchs widmen sie sich schließlich der konsequenten Anwendung der vorgestellten Prinzipien auf eine Vielzahl von Einzeldisziplinen im Bereich der technischen Strömungslehre. Table of ContentsKontinuumsbegriff und Kinematik.- Grundgleichungen der Kontinuumsmechanik.-Materialgleichungen.- Bewegungsgleichungen für spezielle Materialgesetze.- Hydrostatik.- Laminare Schichtenströmungen.- Grundzüge turbulenter Strömungen.- Hydrodynamische Schmierung.- Stromfadentheorie.- Potentialströmungen.- Überschallströmungen.- Grenzschichttheorie.- Schleichende Strömungen.- Einführung in die kartesische Tensorrechnung.- Krummlinige Koordinaten.- Tabellen und Diagramme für kompressible Strömung.- Stoffwerte von Luft und Wasser.- Literaturverzeichnis.- Sachverzeichnis.

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Book SynopsisThis volume is the proceedings of the 14th MSJ International Research Institute “Asymptotic Analysis and Singularity”, which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North AmericaTable of ContentsWeak KAM pairs and Monge-Kantorovich duality by P. Bernard and B. Buffoni Hydrodynamic limit and nonlinear PDEs with singularities by T. Funaki PDE and differential geometry in study of motion of elastic wires by N. Koiso Evolution of stable phases in forward-backward parabolic equations by C. Mascia, A. Terracina, and A. Tesei Analogies between superconductors and liquid crystals: Nucleation and critical fields by X.-B. Pan Method of the blowup envelope and applications by T. Suzuki Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves by C. Hirota, T. Ishiwata, and S. Yazaki On certain one-dimensional elliptic systems under different growth conditions at respective infinities by M. Iida, K. Nakashima, and E. Yanagida Stability analysis for a stripe solution in the Gierer-Meinhardt system by K. Ikeda Perturbation of structures of radial solutions to elliptic equations by Y. Kabeya On the bifurcation structure of positive stationary solutions for a competition-diffusion system by Y. Kan-on Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria by K. P. P. Htoo, M. Mimura, and I. Takagi Existence of standing waves for the nonlinear Schrodinger equation with double power nonlinearity and harmonic potential by H. Kikuchi The Hamiltonian formalism in reaction-diffusion systems by M. Kuwamura Speed estimate for a periodic rotating wave in an undulating zone on the sphere by B. Lou On the dynamical system of a parabolic equation with non-local term by T. Miyasita A variational approach to self-similar solutions for semilinear heat equations by Y. Naito Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion by W.-M. Ni, K. Suzuki, and I. Takagi Asymptotic form of solutions of the Tadjbakhsh-Odeh variational problem by S. Okabe Global existence of a reaction-diffusion-advection system by K. Osaki Blowup solutions to some systems related to biology by T. Senba On the role of the source terms in an activator-inhibitor system proposed by Gierer and Meinhardt by K. Suzuki and I. Takagi Concentration phenomena in the conformal Brezis-Nirenberg problem by F. Takahashi Interfacial analysis to a chemotaxis model equation with growth in three dimension by T. Tsujikawa.

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Book SynopsisIn this volume, the problems of pattern formation in physics, chemistry and other related fields in complex and nonlinear dissipative systems are studied. Main subjects discussed are formation mechanisms, properties, statistics, characterization and dynamics of periodic and nonperiodic patterns in the electrohydrodynamics in liquid crystals, Rayleigh-Benard convection, crystallization, viscous fingering and Belouzov-Zhabotinsky chemical reaction. Recent developments in topological and defect-mediated chaos, chaos in systems with large degrees of freedom and turbulence-turbulence transitions are also discussed.Table of ContentsPattern competition in Rayleigh-Benard convection - hexagons vs. rolls, G. Ahlers; convective patterns and transition to turbulence in nematic liquid crystals, L. Kramer; anomalous kinetic roughening, T. Vicsek; pattern formation in two Hele-Shaw systems - dielectric breakdown of liquids and electrodeposits, L. Lam; filaments in liquid crystals - structure and dynamics, P. Palffy-Muhoray; a simple model for the networks of bursting neurons, Y. Kuramoto; topological defects and mechanism of transition to weak turbulence, V. Steinberg; local bifurcations, defects in the convection of nematics, R. Ribotta; transport and energy dissipation in chaotic dynamical systems, H. Mori; turbulence in a box, A. Libchaber; experimental investigations of the spatio-temporal chaos and of the wave propagation in a one-dimensional extended system, Y. Couder; structure and spatio-temporal disorder of capillary waves excited parametrically by noise, M.I. Rabinovich; relative stability in single and multiple variable chemical systems, J. Ross; coupled pattern generators in lateral inhibition media, M. Mimura; (part contents).

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Book SynopsisThis book is an exposition of a new approach to the Navier-Stokes equations, using powerful techniques provided by nonstandard analysis, as developed by the authors. The topics studied include the existence and uniqueness of weak solutions, statistical solutions and the solution of general stochastic equations.The authors provide a self-contained introduction to nonstandard analysis, designed with applied mathematicians in mind and concentrated specifically on techniques applicable to the Navier-Stokes equations. The subsequent exposition shows how these new techniques allow a quick and intuitive entrance into the mathematical theory of hydrodynamics, as well as provide a research tool that has proven useful in solving open problems concerning stochastic equations.Table of ContentsStandard Preliminaries; Nonstandard Preliminaries; Weak Solutions of Navier-Stokes Equations; Statistical Solutions of Navier-Stokes Equations; Stochastic Navier-Stokes Equations; Other Equations of Hydromechanics; Euler Equation.

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Book SynopsisThis invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical phenomena in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.The book has two aims. One is to expound the mathematical methods of equivariant bifurcation theory. Beyond the classical bifurcation tools, such as center manifold and normal form reductions, the presence of symmetry requires the introduction of the algebraic and geometric formalism of Lie group theory and transformation group methods. For the first time, all these methods in equivariant bifurcations are presented in a coherent and self-consistent way in a book.The other aim is to present the most recent ideas and results in this theory, in relation to applications. This includes bifurcations of relative equilibria and relative periodic orbits for compact and noncompact group actions, heteroclinic cycles and forced symmetry-breaking perturbations. Although not all recent contributions could be included and a choice had to be made, a rather complete description of these new developments is provided. At the end of every chapter, exercises are offered to the reader.Table of ContentsSymmetries in ODEs and PDEs; equivariant bifurcations, a first look; invariant manifolds and normal forms; linear Lie group actions; the equivariant structure of bifurcation equations; reduction techniques for equivariant systems; relative equilibria and relative periodic orbits; bifurcations in equivariant systems; heteroclinic cycles; perturbation of equivariant systems.

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Book SynopsisThis book covers the basics of the hydrodynamics and vibration of structures subjected to environmental loads. It describes the interaction of hydrodynamics with the associated vibration of structures, giving simple explanations. Emphasis is placed on the applications of the theory to practical problems. Several case studies are provided to show how the theory outlined in the book is applied in the design of structures. Background material needed for understanding fluid-induced vibrations of structures is given to make the book reasonably self-sufficient. Examples are taken mainly from the novel structures that are of interest today, including ocean and offshore structures and components.Besides being a text for undergraduates, this book can serve as a handy reference for design engineers and consultants involved in the design of structures subjected to dynamics and vibration.Table of ContentsBasic Theory of Hydrodynamics; Basic Theory of Vibration; Experiments in Hydrodynamics and Vibration; Statistical Theory in Vibration; Random Vibration; Fluid-Structure Interaction; Vortex-Induced Vibration; Practical and Design Studies.

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Book SynopsisThis book covers the basics of the hydrodynamics and vibration of structures subjected to environmental loads. It describes the interaction of hydrodynamics with the associated vibration of structures, giving simple explanations. Emphasis is placed on the applications of the theory to practical problems. Several case studies are provided to show how the theory outlined in the book is applied in the design of structures. Background material needed for understanding fluid-induced vibrations of structures is given to make the book reasonably self-sufficient. Examples are taken mainly from the novel structures that are of interest today, including ocean and offshore structures and components.Besides being a text for undergraduates, this book can serve as a handy reference for design engineers and consultants involved in the design of structures subjected to dynamics and vibration.Table of ContentsBasic Theory of Hydrodynamics; Basic Theory of Vibration; Experiments in Hydrodynamics and Vibration; Statistical Theory in Vibration; Random Vibration; Fluid Structure Interaction; Fluid Induced Vibration; Practical and Design Studies.

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Book SynopsisThis book studies the fundamental concept of hydrodynamics as part of theoretical physics and demonstrates the connection of macroscopic approach with the description of properties of fluid motion and microscopic kinetic theory. It also presents recent investigations in instabilities and turbulence theory.

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Book SynopsisThis book lays a unique and straightforward mathematical foundation on the aspects of liquid layers, capillary interfaces, floating drops and particles. For the first time, these topics are studied in a joint framework. Readers will acquire deeper comprehension and gain results. Practical interest are presented, making it beneficial to engineers and physicists as well as mathematicians.The text takes an insight-oriented approach that gives it immediacy and flexibility. It contains 70 problems where some are exercises, while others are open problems. It is also illustrated with 95 figures and photographs for further understanding.

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Book SynopsisThe book introduces the fundamentals and applications of the lattice Boltzmann method (LBM) for incompressible viscous flows. It is written clearly and easy to understand for graduate students and researchers.The book is organized as follows. In Chapter 1, the SRT- and MRT-LBM schemes are derived from the discrete Boltzmann equation for lattice gases and the relation between the LBM and the Navier-Stokes equation is explained by using the asymptotic expansion (not the Chapman-Enskog expansion). Chapter 2 presents the lattice kinetic scheme (LKS) which is an extension method of the LBM and can save memory because of needlessness for storing the velocity distribution functions. In addition, an improved LKS which can stably simulate high Reynolds number flows is presented. In Chapter 3, the LBM combined with the immersed boundary method (IB-LBM) is presented. The IB-LBM is well suitable for moving boundary flows. In Chapter 4, the two-phase LBM is explained from the point of view of the difficulty in computing two-phase flows with large density ratio. Then, a two-phase LBM for large density ratios is presented. In Appendix, sample codes (available for download) are given for users.

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Book SynopsisTurbulence 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.Table of ContentsMathematical, Physical, and Computational Preliminaries; Molecular Cavity Flow of Argon, Air and 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; and other papers.

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Book SynopsisThis book is intended as an introductory textbook for graduate students and as a reference book for engineers and scientists working in the field of coastal engineering. As such it gives a description of the theories for wave and nearshore hydrodynamics. It is meant to de-mystify the topics and hence starts at a fairly basic level. It requires knowledge of fluid mechanics equivalent to a first year graduate level. At the end of each topic, an attempt is made to give an overview of the present stage of the scientific development in that area with numerous references for further studies.Table of ContentsHydrodynamical Background; Theory of Linear Waves; Energy Balance for Non-Breaking and Breaking Waves; Wave Breaking; Wave Models Based on Linear Wave Theory; Nonlinear Waves: Analysis of Parameters; Stokes Wave Theory, Stream Function Theory; Long Wave Theory, Boussinesq Waves; Wave Boundary Layers; The Equations for Nearshore Circulation; Cross-Shore Currents, Undertow; Quasi-3D Nearshore Circulation Models; Other Nearshore Phenomena.

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Book SynopsisThis book is intended as an introductory textbook for graduate students and as a reference book for engineers and scientists working in the field of coastal engineering. As such it gives a description of the theories for wave and nearshore hydrodynamics. It is meant to de-mystify the topics and hence starts at a fairly basic level. It requires knowledge of fluid mechanics equivalent to a first year graduate level. At the end of each topic, an attempt is made to give an overview of the present stage of the scientific development in that area with numerous references for further studies.Table of ContentsHydrodynamical Background; Theory of Linear Waves; Energy Balance for Non-Breaking and Breaking Waves; Wave Breaking; Wave Models Based on Linear Wave Theory; Nonlinear Waves: Analysis of Parameters; Stokes Wave Theory, Stream Function Theory; Long Wave Theory, Boussinesq Waves; Wave Boundary Layers; The Equations for Nearshore Circulation; Cross-Shore Currents, Undertow; Quasi-3D Nearshore Circulation Models; Other Nearshore Phenomena.

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Book SynopsisThis textbook describes the fundamental “physical” aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics.It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids.In addition to the fundamentals, this book also covers water waves and sound waves, vortex motions, geophysical flows, nonlinear instability, chaos, and turbulence. Furthermore, it includes the chapters on superfluids and the gauge theory of fluid flows.The material in the book emerged from the lecture notes for an intensive course on Elementary Fluid Mechanics for both undergraduate and postgraduate students of theoretical physics given in 2003 and 2004 at the Nankai Institute of Mathematics (Tianjin) in China. Hence, each chapter may be presented separately as a single lecture.Trade Review"The author is to be commended for introducing a chapter on the gauge theory of fluid mechanics, which is quite scarce in fluid mechanics books ... the book can serve as an excellent introduction for graduate students in applied mathematics and physics who are interested in pursuing research in specific areas of fluid mechanics ... One of the strengths of the book is its culmination in a detailed solution to all the problems."ChoiceTable of ContentsFlows; Fluids; Fundamental Equations of Ideal Fluids; Viscous Fluids; Flows of Ideal Fluids; Water Waves and Sound Waves; Vortex Motions; Geophysical Flows; Instability and Chaos; Turbulence; Superfluid and Quantized Circulation; Gauge Theory of Ideal Fluid Flows; Appendices: Vector Analysis; Velocity Potential, Stream Function; Ideal Fluid and Ideal Gas; Curvilinear Reference Frames: Differential Operators; First Three Structure Functions; Lagrangians.

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Book SynopsisThis textbook describes the fundamental “physical” aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics.It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids.In addition to the fundamentals, this book also covers water waves and sound waves, vortex motions, geophysical flows, nonlinear instability, chaos, and turbulence. Furthermore, it includes the chapters on superfluids and the gauge theory of fluid flows.The material in the book emerged from the lecture notes for an intensive course on Elementary Fluid Mechanics for both undergraduate and postgraduate students of theoretical physics given in 2003 and 2004 at the Nankai Institute of Mathematics (Tianjin) in China. Hence, each chapter may be presented separately as a single lecture.Trade Review"The author is to be commended for introducing a chapter on the gauge theory of fluid mechanics, which is quite scarce in fluid mechanics books ... the book can serve as an excellent introduction for graduate students in applied mathematics and physics who are interested in pursuing research in specific areas of fluid mechanics ... One of the strengths of the book is its culmination in a detailed solution to all the problems."ChoiceTable of ContentsFlows; Fluids; Fundamental Equations of Ideal Fluids; Viscous Fluids; Flows of Ideal Fluids; Water Waves and Sound Waves; Vortex Motions; Geophysical Flows; Instability and Chaos; Turbulence; Superfluid and Quantized Circulation; Gauge Theory of Ideal Fluid Flows; Appendices: Vector Analysis; Velocity Potential, Stream Function; Ideal Fluid and Ideal Gas; Curvilinear Reference Frames: Differential Operators; First Three Structure Functions; Lagrangians.

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Book SynopsisThis book discusses the subject of wave/current flow around a cylinder, the forces induced on the cylinder by the flow, and the vibration pattern of slender structures in a marine environment.The primary aim of the book is to describe the flow pattern and the resulting load which develops when waves or current meet a cylinder. Special attention is paid to circular cylinder. The development in the forces is related to the various flow patterns and is discussed in detail. Regular as well as irregular waves are considered, and special cases like wall proximities (pipelines) are also investigated.Table of ContentsFlow Around a Cylinder in Steady Current; Forces on a Cylinder in Steady Current; Flow Around a Cylinder in Oscillatory Flows; Forces on a Cylinder in Regular Waves; Mathematical and Numerical Treatment of Flow Around a Cylinder; Diffraction Effect. Forces on Large Bodies; Forces on a Cylinder in Irregular Waves; Flow-Induced Vibrations of a Free Cylinder in Steady Currents; Flow-Induced Vibrations of a Free Cylinder in Waves; Vibrations of Marine Pipelines; Mathematical Modelling of Flow-Induced Vibrations.

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Book SynopsisThe book provides an original approach in the research of structural analysis of free developed shear compressible turbulence at high Reynolds number on the base of direct numerical simulation (DNS) and instability evolution for ideal medium (integral conservation laws) with approximate mechanism of dissipation (FLUX dissipative monotone “upwind” difference schemes) and does not use any explicit sub-grid approximation and semi-empirical models of turbulence. Convective mixing is considered as a principal part of conservation law.Appropriate hydrodynamic instabilities (free developed shear turbulence) are investigated from unique point of view. It is based on the concept of large ordered structures with stochastic core of small scale developed turbulence (”turbulent spot”). Decay of “turbulent spot” are simulated by Monte Carlo method. Proposed approach is based on two hypotheses: statistical independence of the characteristic of large ordered structures (LOS) and small-scale turbulence (ST) “and” weak influence of molecular viscosity (or more generally, dissipative mechanism) on properties of large ordered structures.Two versions of instabilities, due to Rayleigh-Taylor and Richtmyer-Meshkov are studied detail by the three-dimensional calculations, extended to the large temporal intervals, up to turbulent stage and investigation turbulent mixing zone (TMZ).The book covers both the fundamental and practical aspects of turbulence and instability and summarizes the result of numerical experiments conducted over 30 years period with direct participation of the author.In the book are cited the opinions of the leading scientists in this area of research: Acad. A S Monin (Russia), Prof. Y Nakamura (Japan, Nagoya University) and Prof. F Harlow (USA, Los-Alamos).

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Book SynopsisThis is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems.In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics.Table of ContentsMathematical Bases: Manifolds, Flows, Lie Groups and Lie Algebras; Geometry of Surfaces in R3; Riemannian Geometry; Dynamical Systems: Free Rotation of a Rigid Body; Water Waves and KdV Equation; Hamiltonian Systems: Chaos, Integrability and Phase Transition; Flows of Ideal Fluids: Gauge Principle and Variational Formulation of Fluid Flows; Volume-Preserving Flows of an Ideal Fluid; Motion of Vortex Filaments; Geometry of Integrable Systems: Geometric Interpretations of Sine-Gordon Equation; Integrable Surfaces: Riemannian Geometry and Group Theory.

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Book SynopsisThis book is devoted to analysis of Monte Carlo methods developed in rarefied gas dynamics. Presented is the short history of the development of such methods, described are their main properties, their advantages and deficiencies. It is shown that the contemporary stage in the progress of computational methods cannot be regarded without a complex approach to the preparation of algorithms taking into account all the peculiarities of the problem under consideration, that is, of the physical nature of a process, the mathematical model and the theoretical aspects of computational mathematics and stochastic processes. Thoroughly investigated is the possibility of application of Monte Carlo methods in some kindred areas of science which are non-traditional for the use of statistical modeling (continuous media, turbulence). Considered are the possible directions of development of statistical modeling.Table of ContentsThe Main Equations and Approaches to Solution of the Problems in Rarefied Gas Dynamics; Development of the Numerical Methods of Solution of the Linear Kinetic Equations; Methods of Solution of the Nonlinear Problems in rarefied Gas Dynamics; Modeling of the Flows of Continuous Media; Solution of the Navier-Stokes Equations; Studies of the Weakly Perturbed Flows of Rarefied Gas; Study of the Flows about Different Bodies in Transitional Regime; Determination of the Aerodynamical Characteristics of the Returnable Cosmic Systems (RCS); Supersonic Flow about Blunted Bodies with Energy Addition; The General Models of Description of the Turbulent Flows; Studies as the Turbulent Flows of Fluid and Gas; The Possible Directions of Development of the Methods of Statistical Modeling of the Flows of Fluid and Gas.

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Book SynopsisEnvironmental fluid mechanics (EFM) is the scientific study of transport, dispersion and transformation processes in natural fluid flows on our planet Earth, from the microscale to the planetary scale. This book brings together scientists and engineers working in research institutions, universities and academia, who engage in the study of theoretical, modeling, measuring and software aspects in environmental fluid mechanics. It provides a forum for the participants, and exchanges new ideas and expertise through the presentations of up-to-date and recent overall achievements in this field.Table of ContentsTheoretical and Modeling Aspects: Turbulent Dispersion: How Results for the Zero Molecular Diffusivity Case can be Used in the Real World (N Mole et al.); Hierarchy and Interactions in Environmental Interfaces Regarded as Biophysical Complex Systems (D T Mihailovic & I Balaz); Some Recent Advanced in Modeling Stable Atmospheric Boundary Layers (B Grisogono); Modeling of Stratified and Turbulent Flow (V Fuka et al.); Environmental Hydraulics: Turbulent Boundary Layers (R J Schindler & J D Ackerman); Reynolds Number Effect on Spatial Development of Viscous Flow Induced by Wave Propagation Over Bed Ripples (A A Dimas & G A Kolokythas); Calculation of Aggregated Albedo in Rectangular Solid Geometry on Environmental Interfaces (D Kapor et al.); Applicative, Software and Experimental Issues: Locating a Possible Source of Air Pollution Using a Combination of Measurements and Inverse Modeling (B Rajković et al.); Long-Term Measurements of Energy Budget and Trace Gas Fluxes Between the Atmosphere and Different Types of Ecosystems in Hungary (T Weidinger et al.); Integration of Spatio-Temporal Data for Fluid Modeling in the GIS Environment (L Matejicek); Modeling Pathogen Intrusion on Safe Drinking Water: CFD versus Physical Models (P A Lopez-Jimenez et al.); Numerical Simulation of Mass Exchange Processes in a Dead Zone of a River (C Gualtieri); Modeling Mercury Fate and Transport in Aquatic Systems (A Massoudieh et al.); 3d Ecological Modeling of the Aveiro Coast (Portugal) (J F Lopes & A C Cardoso); Experimental Calibration of a Simplified Method to Evaluate Absolute Roughness of Vegetated Channels (S De Felice et al.).

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Book SynopsisThe interaction of a fluid with a solid body is a widespread phenomenon in nature, occurring at different scales and different applied disciplines. Interestingly enough, even though the mathematical theory of the motion of bodies in a liquid is one of the oldest and most classical problems in fluid mechanics, mathematicians have, only very recently, become interested in a systematic study of the basic problems related to fluid-structure interaction, from both analytical and numerical viewpoints.Fundamental Trends in Fluid-Structure Interaction is a unique collection of important papers written by world-renowned experts aimed at furnishing the highest level of development in several significant areas of fluid-structure interactions. The contributions cover several aspects of this discipline, from mathematical analysis, numerical simulation and modeling viewpoints, including motion of rigid and elastic bodies in a viscous liquid, particulate flow and hemodynamic.Table of ContentsNumerical Simulation of Fluid-Structure Interaction Based on Monolithic Variational Formulations (T Dunne et al.); Exterior Flows at Low Reynolds Numbers: Concepts, Solutions, and Applications (V Hueveline & P Wittwer); Numerical Simulation and Benchmarking of Fluid-Structure Interaction with Application to Hemodynamics (M Razzaq et al.); Mathematical Analysis of Particulate Flows (J S Martin & M Tucsnak); Fluid-Structure Interaction Between Blood and Arterial Walls (A Quarteroni);

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Book SynopsisThis book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). It covers several widely used, and still intensively researched methods, including the discontinuous Galerkin, residual distribution, finite volume, differential quadrature, spectral volume, spectral difference, PNPM, and correction procedure via reconstruction methods. The main focus is applications in aerospace engineering, but the book should also be useful in many other engineering disciplines including mechanical, chemical and electrical engineering. Since many of these methods are still evolving, the book will be an excellent reference for researchers and graduate students to gain an understanding of the state of the art and remaining challenges in high-order CFD methods.Table of ContentsHigh-Order Residual Distribution Schemes (R Abgrall & H Deconinck; DG for Turbulent Flow (B & Rebay); Massively Parallel Implementation for the DG (D Darmofal); Error Estimate and Adaptations (R Hartmann et al.); Flux Reconstruction Method (H T Hyunh); Efficient Multi-Level Hp-Solution Methods (A Jameson & G May); Time Discretization and Local Time Stepping in the DG Framework (C-D Munz); PnPm Method (M Dumbser et al.); High-Order Finite Volume Method (C Ollivier-Gooch); DG for Moving Boundary Problems (P-O Persson & J Peraire); Limiters (J-X Qiu); Differential Quadratures (C Shu); Comparison of SUPG and DG (V Venkatakarishnan); Analysis of Spectral Volume and Spectral Difference Methods (K Vanden Abeele & C Lacor); DG for Diffusion (B van Leer); Lifting Collocation Penalty Method (Z J Wang).

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Book SynopsisThis volume contains 25 review articles by experts which provide up-to-date information about the recent progress in computational fluid dynamics (CFD). Due to the multidisciplinary nature of CFD, it is difficult to keep up with all the important developments in related areas. CFD Review 2010 would therefore be useful to researchers by covering the state-of-the-art in this fast-developing field.Table of ContentsUnstructured Grids and Adaptive Finite Element Methods: Simulating Steady State and Transient Aerodynamics Flows Using Unstructured Meshes and Parallel Computers (B J Evans et al.); Numerical Simulation of Fluid Movement in an Hourglass by an Energy-Stable Finite Element Scheme (M Tabata); Adaptive Finite Element Discretization of Flow Problems for Goal-Oriented Model Reduction (R Rannacher); High-Order Efficient Schemes: Recovery Discontinuous Galerkin Jacobi-Free Newton-Krylov Method for Multi physics Problems (R Nourgaliev et al.); A Numerical Diffusion Flux for Finite Volume and Discontinuous Galerkin Schemes Based on the Diffusive Riemann Problem (G Gassner et al.); A BGK-Based Discontinuous Galerkin Method for the Navier-Stokes Equations on Arbitrary Grids (H Luo et al.); Construction of High Order Residual Distribution Schemes (R Abgrall et al.); Recent Development in High-Order-Accurate Fluctuation Splitting Schemes (C Rossiello et al.); Implicit Implementation of Variant WENO Schemes for Compressible Flow Computations (J Y Yang et al.); The Development of the Characteristic-Wise Hybrid Compact-WENO Scheme for Solving the Euler and Navier-Stokes Equations (Z Sun & Y Ren); Multi-dimensional Limiting Process for Flow Physics Analysis on Structured and Unstructured Grids (C Kim); Simulations of Turbulent Flows and Orthogonal Decomposition Method: Coping with Uncertainity in Turbulent Flow Simulations (P Sagaut); Numerical Investigation and Proper Orthogonal Decomposition of Forced Convective Heat Transfer from Staggered Circular Cylinders (S Tomkratoke et al.); Chemically Reacting Flows: Efficient Parallel Fully Coupled Solver for Multi-component Turbulent Reacting Flows (T Belmrabet et al.); Time Accurate Computational Analysis of Ignition Overpressure in the Flame Trench (C Kiris et al.); Aero-acoustics: Aeroacoustics Investigation of Woodwind Instruments Based on Discontinuous Galerkin Methods (A Richter et al.); Recent Efforts in Rocket Plume Acoustics (T Nonomura & K Fujii); Optimization Techniques: Challenges in Aerodynamic Optimization (E Arian & A Iollo); Robust Multidisciplinary Design Optimization Using CFD and Advanced Evolutionary Algorithms (D S Lee et al.); Special Topics: Forty Years of CFD in Japan - Personal Overview (N Satofuka); Computational Magneto-Fluid-Dynamics of Flow Control (J Shang); Aerodynamic Surfaces Admitting Jumps of the Lift Coefficient in Transonic Flight (A Kuz'min); A Level-Set Method for Three Dimensional Bi-fluid Flows Evolving in Square Micro Channels (C Bruneau et al.); Micro and Macro Scale Technique for Particle Growth Simulations (A Markov); Adaptive Wavelet Method for Euler Equations Solution Algorithim (H Kang et al.).

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Book SynopsisLattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics. Unlike the traditional CFD methods, which solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice mesh.This book will cover the fundamental and practical application of LBM. The first part of the book consists of three chapters starting form the theory of LBM, basic models, initial and boundary conditions, theoretical analysis, to improved models. The second part of the book consists of six chapters, address applications of LBM in various aspects of computational fluid dynamic engineering, covering areas, such as thermo-hydrodynamics, compressible flows, multicomponent/multiphase flows, microscale flows, flows in porous media, turbulent flows, and suspensions.With these coverage LBM, the book intended to promote its applications, instead of the traditional computational fluid dynamic method.Table of ContentsIntroduction; Initial and Boundary Conditions for Lattice Boltzmann Method; Improved Lattice Boltzmann Models; Sample Applications of LBE for Isothermal Flows; LBE for Low Speed Flows with Heat Transfer; LBE for Compressible Flows; LBE for Multiphase and Multi-component Flows; LBE for Microscale Gas Flows; Other Applications of LBE.

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Book SynopsisThe lecture notes in this book are based on the TCC (Taught Course Centre for graduates) course given by the author in Trinity Terms of 2009-2011 at the Mathematical Institute of Oxford University. It contains more or less an elementary introduction to the mathematical theory of the Navier-Stokes equations as well as the modern regularity theory for them. The latter is developed by means of the classical PDE's theory in the style that is quite typical for St Petersburg's mathematical school of the Navier-Stokes equations.The global unique solvability (well-posedness) of initial boundary value problems for the Navier-Stokes equations is in fact one of the seven Millennium problems stated by the Clay Mathematical Institute in 2000. It has not been solved yet. However, a deep connection between regularity and well-posedness is known and can be used to attack the above challenging problem. This type of approach is not very well presented in the modern books on the mathematical theory of the Navier-Stokes equations. Together with introduction chapters, the lecture notes will be a self-contained account on the topic from the very basic stuff to the state-of-art in the field.Table of ContentsPreliminaries; Linear Stationary Problem; Non-Linear Stationary Problem; Linear Non-Stationary Problem; Non-Linear Non-Stationary Problem; Local Regularity Theory for Non-Stationary Navier-Stokes Equations; Behaviour of L3-Norm; Appendix A: Backward Uniqueness and Unique Continuation; Appendix B: Lemarie-Riesset Local Energy Solutions;

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