Water Waves: The Mathematical Theory with Applications
Water Waves: The Mathematical Theory with Applications

Author: James Johnston Stoker

Publisher: Courier Dover Publications

Published: 2019-04-17

Total Pages: 593

ISBN-13: 0486839923

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First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.

Direct Numerical Simulations of Gas–Liquid Multiphase Flows
Direct Numerical Simulations of Gas–Liquid Multiphase Flows

Author: Grétar Tryggvason

Publisher: Cambridge University Press

Published: 2011-03-10

Total Pages: 337

ISBN-13: 1139496700

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Accurately predicting the behaviour of multiphase flows is a problem of immense industrial and scientific interest. Modern computers can now study the dynamics in great detail and these simulations yield unprecedented insight. This book provides a comprehensive introduction to direct numerical simulations of multiphase flows for researchers and graduate students. After a brief overview of the context and history the authors review the governing equations. A particular emphasis is placed on the 'one-fluid' formulation where a single set of equations is used to describe the entire flow field and interface terms are included as singularity distributions. Several applications are discussed, showing how direct numerical simulations have helped researchers advance both our understanding and our ability to make predictions. The final chapter gives an overview of recent studies of flows with relatively complex physics, such as mass transfer and chemical reactions, solidification and boiling, and includes extensive references to current work.

Dam Failure Mechanisms and Risk Assessment
Dam Failure Mechanisms and Risk Assessment

Author: Limin Zhang

Publisher: John Wiley & Sons

Published: 2016-08-22

Total Pages: 496

ISBN-13: 1118558510

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This book integrates the physical processes of dam breaching and the mathematical aspects of risk assessment in a concise manner • The first book that introduces the causes, processes and consequences of dam failures • Integrates the physical processes of dam breaching and the mathematical aspects of risk assessment in a concise manner • Emphasizes integrating theory and practice to better demonstrate the application of risk assessment and decision methodologies to real cases • Intends to formulate dam-breaching emergency management steps in a scientific structure

Dam-break Problems, Solutions and Case Studies
Dam-break Problems, Solutions and Case Studies

Author: D. De Wrachien

Publisher: WIT Press

Published: 2009

Total Pages: 369

ISBN-13: 1845641426

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The aim of the book is to give an up-to-date review on dam-break problems, along with the main theoretical background and the practical aspects involved in dam failures, design of flood defense structures, prevention measures and the environmental social, economic and forensic aspects related to the topic. Moreover, an exhaustive range of laboratory tests and modeling techniques is explored to deal effectively with shock waves and other disasters caused by dam failures. Disaster management refers to programs and strategies designed to prevent, mitigate, prepare for, respond to and recover from the effects of these phenomena.To manage and minimize these risks, it is necessary to identify hazards and vulnerability by means of a deep knowledge of the causes which drive to dam failures, and to understand the flow propagation process.Knowledge and advanced scientific tools play a role of paramount importance of coping with flooding and other dam-break problems along with capacity building in the context of political and administrative frameworks. All these aspects are featured in the book, which is a comprehensive treaty that covers the most theoretical and advanced aspects of structural and hydraulic engineering, together with the hazard assessment and mitigation measures and the social economic and forensic aspects related to subject.

APAC 2019
APAC 2019

Author: Nguyen Trung Viet

Publisher: Springer Nature

Published: 2019-09-25

Total Pages: 1419

ISBN-13: 9811502919

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This book presents selected articles from the International Conference on Asian and Pacific Coasts (APAC 2019), an event intended to promote academic and technical exchange on coastal related studies, including coastal engineering and coastal environmental problems, among Asian and Pacific countries/regions. APAC is jointly supported by the Chinese Ocean Engineering Society (COES), the Coastal Engineering Committee of the Japan Society of Civil Engineers (JSCE), and the Korean Society of Coastal and Ocean Engineers (KSCOE). APAC is jointly supported by the Chinese Ocean Engineering Society (COES), the Coastal Engineering Committee of the Japan Society of Civil Engineers (JSCE), and the Korean Society of Coastal and Ocean Engineers (KSCOE).

Numerical Solution of Hyperbolic Partial Differential Equations
Numerical Solution of Hyperbolic Partial Differential Equations

Author: John A. Trangenstein

Publisher: Cambridge University Press

Published: 2009-09-03

Total Pages: 0

ISBN-13: 052187727X

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Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, with both print and interactive electronic components (on CD). It is a comprehensive presentation of modern shock-capturing methods, including both finite volume and finite element methods, covering the theory of hyperbolic conservation laws and the theory of the numerical methods. The range of applications is broad enough to engage most engineering disciplines and many areas of applied mathematics. Classical techniques for judging the qualitative performance of the schemes are used to motivate the development of classical higher-order methods. The interactive CD gives access to the computer code used to create all of the text's figures, and lets readers run simulations, choosing their own input parameters; the CD displays the results of the experiments as movies. Consequently, students can gain an appreciation for both the dynamics of the problem application, and the growth of numerical errors.

Lattice-Gas Cellular Automata and Lattice Boltzmann Models
Lattice-Gas Cellular Automata and Lattice Boltzmann Models

Author: Dieter A. Wolf-Gladrow

Publisher: Springer

Published: 2004-10-19

Total Pages: 320

ISBN-13: 3540465863

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Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.

Computer Modeling of Free-Surface and Pressurized Flows
Computer Modeling of Free-Surface and Pressurized Flows

Author: M. Hanif Chaudhry

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 737

ISBN-13: 9401109648

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Computers are widely used for the analysis, design, and operation of water resource projects. This gives accurate results, allowing the analysis of complex systems which may not have been possible otherwise, and the investigation and comparison of several different alternatives in a short time, thereby reducing the project costs, optimizing design, and efficient utilization of resources. This volume compiles an edited version of the lecture notes specially prepared by 14 well-known European and North American researchers. Part I deals with free-surface flows. Governing equations are derived and their solution by the finite-difference, finite-element, and boundary-integral methods are discussed. Then, turbulence models, three-dimensional models, dam-break flow models, sediment transport models, and flood routing models are presented. Part II is related to the modeling of steady and transient pressurized flows. Governing equations for both single and two-component flows are derived and numerical methods for their solution are presented. The modeling of water quality in pipe networks, of cooling water systems, and slow and rapid transients is then discussed.

Unsteady Motion of Continuous Media
Unsteady Motion of Continuous Media

Author: K. P. Stanyukovich

Publisher: Elsevier

Published: 2016-01-21

Total Pages: 760

ISBN-13: 1483226123

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Unsteady Motion of Continuous Media covers the technical applications in the study of rapidly occurring processes in unsteady motion of continuous media. This 15-chapter text focuses on the detonation and explosion processes. The introductory chapters review the mathematical and thermodynamic methods of gas dynamics, as well as the fundamental equations of non-stationary gas dynamics. The succeeding chapters deal with the concept of self-similar motion, solutions of equations, one-dimensional isentropic motions, and the elementary theory of shock waves. Considerable chapters are devoted to the mechanisms and principles of detonation wave, its propagation and unsteady motion in condensed media. These topics are followed by discussions of the propulsion of bodies by a gas stream; the motion of gas in a gravitational field; and the limiting motion of rarefield and very dense media. The concluding chapter presents some problems in the relativistic mechanics of solid medium. This book will prove useful to physicists, applied mathematicians, and chemical engineers.

Scaling, Self-similarity, and Intermediate Asymptotics
Scaling, Self-similarity, and Intermediate Asymptotics

Author: G. I. Barenblatt

Publisher: Cambridge University Press

Published: 1996-12-12

Total Pages: 412

ISBN-13: 9780521435222

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Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory, and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium. Numerous examples from a diverse range of fields, including theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are presented for which the ideas of scaling, intermediate asymptotics, self-similarity, and renormalisation were of decisive value in modelling.