Analytical and Numerical Methods for Wave Propagation in Fluid Media

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Publisher : World Scientific
ISBN 13 : 9814487562
Total Pages : 256 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Analytical and Numerical Methods for Wave Propagation in Fluid Media by : K Murawski

Download or read book Analytical and Numerical Methods for Wave Propagation in Fluid Media written by K Murawski and published by World Scientific. This book was released on 2002-11-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance. Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons. Contents:Mathematical Description of FluidsLinear WavesModel Equations for Weakly Nonlinear WavesAnalytical Methods for Solving the Classical Model Wave EquationsNumerical Methods for a Scalar Hyperbolic EquationsReview of Numerical Methods for Model Wave EquationsNumerical Schemes for a System of One-Dimensional Hyperbolic EquationsA Hyperbolic System of Two-Dimensional EquationsNumerical Methods for the MHD EquationsNumerical Experiments Readership: Researchers in applied and pure mathematics as well as computational and mathematical physics. Keywords:Reviews:“This book tries to fill the gap in the literature by considering together analytical and numerical approaches. The main attention is paid to the wave solutions of the quasi-hyperbolic systems appearing in fluids, plasma, and astrophysics, taking into account the nonlinearity, dispersion, dissipation and randomness of media … It can be useful for students studying the modeling of the wave processes in fluids, plasma and astrophysics.”Professor Efim Pelinovsky Russian Academy of Sciences “The book will be of interest to readers intending to enter this field, and it contains an extensive bibliography that will be useful for readers wishing to widen their study of these topics.”Mathematics Abstracts “I found the book to be very thorough in its description of methods, and the difficulties faced in solving hyperbolic problems … overall I was impressed with this book, and I recommend it as an excellent review source.”Mathematical Reviews

Analytical and Numerical Methods for Wave Propagation in Fluid Media

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Publisher : World Scientific
ISBN 13 : 9789812776631
Total Pages : 260 pages
Book Rating : 4.7/5 (766 download)

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Book Synopsis Analytical and Numerical Methods for Wave Propagation in Fluid Media by : K. Murawski

Download or read book Analytical and Numerical Methods for Wave Propagation in Fluid Media written by K. Murawski and published by World Scientific. This book was released on 2002 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.

Numerical Methods for Wave Propagation

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Publisher : Springer Science & Business Media
ISBN 13 : 9401591377
Total Pages : 392 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Numerical Methods for Wave Propagation by : E.F. Toro

Download or read book Numerical Methods for Wave Propagation written by E.F. Toro and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In May 1995 a meeting took place at the Manchester Metropolitan Uni versity, UK, with the title International Workshop on Numerical Methods for Wave Propagation Phenomena. The Workshop, which was attended by 60 scientists from 13 countries, was preceded by a short course enti tled High-Resolution Numerical Methods for Wave Propagation Phenom ena. The course participants could then join the Workshop and listen to discussions of the latest work in the field led by experts responsible for such developments. The present volume contains written versions of their contributions from the majority of the speakers at the Workshop. Professor Amiram Harten, but for his untimely death at the age of 50 years, would have been one of the speakers at the Workshop. His remarkable contributions to Numerical Analysis of Conservation Laws are commemo rated in this volume, which includes the text of the First Harten Memorial Lecture, delivered by Professor P. L. Roe from the University of Michigan in Ann Arbour, USA.

Numerical Methods for Wave Equations in Geophysical Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1475730810
Total Pages : 476 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Numerical Methods for Wave Equations in Geophysical Fluid Dynamics by : Dale R. Durran

Download or read book Numerical Methods for Wave Equations in Geophysical Fluid Dynamics written by Dale R. Durran and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.

Wave Propagation in Fluids

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Publisher : John Wiley & Sons
ISBN 13 : 1118587634
Total Pages : 394 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Wave Propagation in Fluids by : Vincent Guinot

Download or read book Wave Propagation in Fluids written by Vincent Guinot and published by John Wiley & Sons. This book was released on 2012-12-27 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition with four additional chapters presents the physical principles and solution techniques for transient propagation in fluid mechanics and hydraulics. The application domains vary including contaminant transport with or without sorption, the motion of immiscible hydrocarbons in aquifers, pipe transients, open channel and shallow water flow, and compressible gas dynamics. The mathematical formulation is covered from the angle of conservation laws, with an emphasis on multidimensional problems and discontinuous flows, such as steep fronts and shock waves. Finite difference-, finite volume- and finite element-based numerical methods (including discontinuous Galerkin techniques) are covered and applied to various physical fields. Additional chapters include the treatment of geometric source terms, as well as direct and adjoint sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler. Application exercises with on-line solutions are proposed at the end of the chapters.

Numerical Methods for Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1441964126
Total Pages : 516 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Numerical Methods for Fluid Dynamics by : Dale R. Durran

Download or read book Numerical Methods for Fluid Dynamics written by Dale R. Durran and published by Springer Science & Business Media. This book was released on 2010-09-14 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Wave Fields in Real Media

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Publisher : Elsevier Science
ISBN 13 : 9780081013533
Total Pages : 690 pages
Book Rating : 4.0/5 (135 download)

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Book Synopsis Wave Fields in Real Media by : José M. Carcione

Download or read book Wave Fields in Real Media written by José M. Carcione and published by Elsevier Science. This book was released on 2018-11-13 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by the internationally renowned José M. Carcione, Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant stress-strain relations. The combination of this relation and the equations of momentum conservation lead to the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. New to this edition: This new edition presents the fundamentals of wave propagation in Anisotropic, Anelastic, Porous Media while also incorporating the latest research from the past 7 years, including that of the author. The author presents all the equations and concepts necessary to understand the physics of wave propagation. These equations form the basis for modeling and inversion of seismic and electromagnetic data. Additionally, demonstrations are given, so the book can be used to teach post-graduate courses. Addition of new and revised content is approximately 30%. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation, with examples Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil

Wave Propagation in Viscoelastic and Poroelastic Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 3540445757
Total Pages : 176 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Wave Propagation in Viscoelastic and Poroelastic Continua by : Martin Schanz

Download or read book Wave Propagation in Viscoelastic and Poroelastic Continua written by Martin Schanz and published by Springer Science & Business Media. This book was released on 2012-11-27 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.

Effective Computational Methods for Wave Propagation

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Publisher : CRC Press
ISBN 13 : 9781420010879
Total Pages : 712 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis Effective Computational Methods for Wave Propagation by : Nikolaos A. Kampanis

Download or read book Effective Computational Methods for Wave Propagation written by Nikolaos A. Kampanis and published by CRC Press. This book was released on 2008-02-25 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable computational methods used to describe wave propagation phenomena in selected areas of physics and technology. Featuring contributions from internationally known experts, the book is divided into four parts. It begins with the simulation of nonlinear dispersive waves from nonlinear optics and the theory and numerical analysis of Boussinesq systems. The next section focuses on computational approaches, including a finite element method and parabolic equation techniques, for mathematical models of underwater sound propagation and scattering. The book then offers a comprehensive introduction to modern numerical methods for time-dependent elastic wave propagation. The final part supplies an overview of high-order, low diffusion numerical methods for complex, compressible flows of aerodynamics. Concentrating on physics and technology, this volume provides the necessary computational methods to effectively tackle the sources of problems that involve some type of wave motion.

Numerical Modeling of Seismic Wave Propagation

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Publisher : SEG Books
ISBN 13 : 1560802901
Total Pages : 115 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Numerical Modeling of Seismic Wave Propagation by : Johan O. A. Robertsson

Download or read book Numerical Modeling of Seismic Wave Propagation written by Johan O. A. Robertsson and published by SEG Books. This book was released on 2012 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: The decades following SEG's 1990 volume on numerical modeling showed a step change in the application and use of full wave equation modeling methods enabled by the increase in computational power. Full waveform inversion, reverse time migration, and 3D elastic finite-difference synthetic data generation are examples. A searchable CD is included.

Wave Propagation in Fluids

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Publisher : John Wiley & Sons
ISBN 13 : 1118623614
Total Pages : 282 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Wave Propagation in Fluids by : Vincent Guinot

Download or read book Wave Propagation in Fluids written by Vincent Guinot and published by John Wiley & Sons. This book was released on 2013-05-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the physical principles of wave propagation in fluid mechanics and hydraulics. The mathematical techniques that allow the behavior of the waves to be analyzed are presented, along with existing numerical methods for the simulation of wave propagation. Particular attention is paid to discontinuous flows, such as steep fronts and shock waves, and their mathematical treatment. A number of practical examples are taken from various areas fluid mechanics and hydraulics, such as contaminant transport, the motion of immiscible hydrocarbons in aquifers, river flow, pipe transients and gas dynamics. Finite difference methods and finite volume methods are analyzed and applied to practical situations, with particular attention being given to their advantages and disadvantages. Application exercises are given at the end of each chapter, enabling readers to test their understanding of the subject.

Wave Propagation in Solid and Porous Half-Space Media

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Publisher : Springer Science & Business
ISBN 13 : 1461492696
Total Pages : 304 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Wave Propagation in Solid and Porous Half-Space Media by : Hamid R. Hamidzadeh

Download or read book Wave Propagation in Solid and Porous Half-Space Media written by Hamid R. Hamidzadeh and published by Springer Science & Business. This book was released on 2014-04-26 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers advanced topics in dynamic modeling of soil-foundation interaction, as well as the response of elastic semi-infinite media from an applications viewpoint. Advanced concepts such as solutions for analysis of elastic semi-infinite mediums, fluid motion in porous media, and nonlinearities in dynamic behavior are explained in great detail. Related theories and numerical analysis for vertical vibration, and rocking vibration of a rigid rectangular mass-less plate, and horizontal vibration of a rigid mass-less plate are presented. Throughout the book, a strong emphasis is placed on applications, and a laboratory model for elastic half-space medium is provided.

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

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Publisher : Springer Science & Business Media
ISBN 13 : 3642558569
Total Pages : 923 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 by : Gary Cohen

Download or read book Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 written by Gary Cohen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 923 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes articles on the mathematical modeling and numerical simulation of various wave phenomena. For many years Waves 2003 and its five prior conferences have been an important forum for discussions on wave propagation. The topic is equally important for fundamental sciences, engineering, mathematics and, in particular, for industrial applications. Areas of specific interest are acoustics, electromagnetics, elasticity and related inverse and optimization problems. This book gives an extensive overview of recent developments in a very active field of scientific computing.

Wave Propagation and Diffraction

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Publisher : Springer
ISBN 13 : 9811049238
Total Pages : 241 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Wave Propagation and Diffraction by : Igor T. Selezov

Download or read book Wave Propagation and Diffraction written by Igor T. Selezov and published by Springer. This book was released on 2017-09-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.

Numerical Methods in Geotechnical Engineering

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Publisher : CRC Press
ISBN 13 : 0203842367
Total Pages : 976 pages
Book Rating : 4.2/5 (38 download)

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Book Synopsis Numerical Methods in Geotechnical Engineering by : Thomas Benz

Download or read book Numerical Methods in Geotechnical Engineering written by Thomas Benz and published by CRC Press. This book was released on 2010-05-25 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods in Geotechnical Engineering contains 153 scientific papers presented at the 7th European Conference on Numerical Methods in Geotechnical Engineering, NUMGE 2010, held at Norwegian University of Science and Technology (NTNU) in Trondheim, Norway, 2 4 June 2010.The contributions cover topics from emerging research to engineering pra

Acoustic Technologies in Biology and Medicine

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Publisher : John Wiley & Sons
ISBN 13 : 3527841318
Total Pages : 405 pages
Book Rating : 4.5/5 (278 download)

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Book Synopsis Acoustic Technologies in Biology and Medicine by : Adem Ozcelik

Download or read book Acoustic Technologies in Biology and Medicine written by Adem Ozcelik and published by John Wiley & Sons. This book was released on 2023-10-10 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acoustic Technologies in Biology and Medicine Complete, balanced resource encompassing all required technical, theoretical, and applied multidisciplinary knowledge related to acoustics Taking a multidisciplinary approach involving fluid mechanics, physics, chemistry, electronics, and the life sciences to provide a unified and competent overview of the field, Acoustic Technologies in Biology and Medicine covers the fundamental principles of acoustic wave generation and propagation, different acoustic systems and technologies with the interplay of physical forces, theoretical foundations, and the state-of-the-art biomedical applications of acoustics. State-of-the-art applications of acoustics in biology and medicine are presented, including single cell and organism manipulation, acoustic biosensing, cancer cell isolation (liquid biopsy), cell/tissue stimulation and ablation, micro-robot actuation, acoustic imaging, and drug delivery. Contributed to and edited by highly qualified professionals with significant experience in the field, Acoustic Technologies in Biology and Medicine covers sample topics such as: Materials for acoustic wave generation and modulation, ultrasound imaging, and photoacoustic imaging and sensing for biomedical applications Therapeutic ultrasound, application of ultrasound responsive reagents for drug delivery systems, and acoustic levitation and acoustic holograms Application of ultrasonic waves in bioparticle manipulation and separation, acoustic biosensors, and acoustic micro and nanorobots in medicine Different technologies of acoustic systems, including bulk and surface acoustic wave-based platforms, acoustic imaging, acoustic sensors, and acoustic levitators A cornerstone reference bridging the gap between rapidly advancing acoustic technologies with state-of-the-art applications in biology and medicine, Acoustic Technologies in Biology and Medicine is an essential resource on the subject for biophysicists, materials scientists, biotechnologists, bioengineers, sensor developers, electronics engineers, and all professionals in the greater biotechnological industry.

The Calculus of Variations and Functional Analysis

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Publisher : World Scientific
ISBN 13 : 9812385819
Total Pages : 435 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis The Calculus of Variations and Functional Analysis by : L. P. Lebedev

Download or read book The Calculus of Variations and Functional Analysis written by L. P. Lebedev and published by World Scientific. This book was released on 2003 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Sam helps his goose sisters fly to safety to looking for familiar landforms.