Mathematical Modeling and Simulation in Hydrodynamic Stability

Mathematical Modeling and Simulation in Hydrodynamic Stability PDF Author: Daniel N. Riahi
Publisher: World Scientific
ISBN: 9789810223083
Category : Science
Languages : en
Pages : 208

Book Description
Hydrodynamic stability is of fundamental importance in the mechanics of fluids and is mainly concerned with the problem of the transition to turbulence. This book is devoted to publication of original research papers, research-expository and survey articles with an emphasis on unsolved problems and open questions in the mathematical modeling and computational aspects of hydrodynamic stability. Review chapters on the mathematical modeling and numerical simulation aspects of hydrodynamic stability, the physical background, and the limitations of the modeling and simulation procedures, due to particular mathematical or computational methods used, are included. This book will be appropriate for use in research and in research-related courses on the subject. It includes chapters on bifurcations in fluid systems, flow patterns, channel flows, non-parallel shear flows, thin-film flows, strong viscous shear flows, Gortler vortices, bifurcations in convection, wavy film flows and boundary layers.

Introduction to Hydrodynamic Stability

Introduction to Hydrodynamic Stability PDF Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 1316582876
Category : Science
Languages : en
Pages : 278

Book Description
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences PDF Author: Giovanni Naldi
Publisher: Springer Science & Business Media
ISBN: 0817649468
Category : Mathematics
Languages : en
Pages : 437

Book Description
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Stability and Transition in Shear Flows

Stability and Transition in Shear Flows PDF Author: Peter J. Schmid
Publisher: Springer Science & Business Media
ISBN: 1461301858
Category : Science
Languages : en
Pages : 561

Book Description
A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.

Theory and Computation in Hydrodynamic Stability

Theory and Computation in Hydrodynamic Stability PDF Author: W. O. Criminale
Publisher: Cambridge University Press
ISBN: 1108475337
Category : Mathematics
Languages : en
Pages : 565

Book Description
Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.

Optical Remote Sensing of Ocean Hydrodynamics

Optical Remote Sensing of Ocean Hydrodynamics PDF Author: Victor Raizer
Publisher: CRC Press
ISBN: 1351119168
Category : Technology & Engineering
Languages : en
Pages : 359

Book Description
Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of multispectral optical databases and establishes physics-based criteria for detection of complex wave phenomena and hydrodynamic disturbances including assessment and management of optical databases. This book explains the physical principles of high-resolution optical imagery of the ocean surface, discusses for the first time the capabilities of observing hydrodynamic processes and events, and emphasizes the integration of optical measurements and enhanced data analysis. It also covers both the assessment and the interpretation of dynamic multispectral optical databases and includes applications for advanced studies and nonacoustic detection. This book is an invaluable resource for researches, industry professionals, engineers, and students working on cross-disciplinary problems in ocean hydrodynamics, optical remote sensing of the ocean and sea surface remote sensing. Readers in the fields of geosciences and remote sensing, applied physics, oceanography, satellite observation technology, and optical engineering will learn the theory and practice of optical interactions with the ocean.

Fluid Dynamics at Interfaces

Fluid Dynamics at Interfaces PDF Author: Wei Shyy
Publisher: Cambridge University Press
ISBN: 9780521642668
Category : Science
Languages : en
Pages : 482

Book Description
In this book experts discuss research and applications in interfacial fluid dynamics.

Shiphandling Simulation

Shiphandling Simulation PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309043387
Category : Technology & Engineering
Languages : en
Pages : 172

Book Description
As a result of major shipping disasters on all coasts, the safety of vessel operations in U.S. ports and waterways and the effectiveness of waterway designs are under increased scrutiny. But are traditional waterway design practices that rely heavily on rules of thumb and conservatism providing adequate margins of safety while keeping the overall costs of waterway projects within the funding capabilities of local project sponsors? Shiphandling Simulation addresses how computer-based simulation can be used to improve the cost- effectiveness of waterway design while satisfying safety objectives. The book examines the role of computer simulation in improving waterway design, evaluates the adequacy of data input, explores the validity of hydrodynamic and mathematical models, assesses required and achievable accuracy of simulation results, and identifies research needed to establish shiphandling simulation as a standard design aid. Case studies of waterway design efforts employing shiphandling simulation are analyzed and lessons learned are identified.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 776

Book Description


Mathematical Modelling of Fluid Dynamics and Nanofluids

Mathematical Modelling of Fluid Dynamics and Nanofluids PDF Author: Katta Ramesh
Publisher: CRC Press
ISBN: 1000933369
Category : Mathematics
Languages : en
Pages : 556

Book Description
Mathematical Modelling of Fluid Dynamics and Nanofluids serves as a comprehensive resource for various aspects of fluid dynamics simulations, nanofluid preparation, and numerical techniques. The book examines the practical implications and real-world applications of various concepts, including nanofluids, magnetohydrodynamics, heat and mass transfer, and radiation. By encompassing these diverse domains, it offers readers a broad perspective on the interconnectedness of these fields. The primary audience for this book includes researchers and graduate students who possess a keen interest in interdisciplinary studies within the realms of fluid dynamics, nanofluids, and biofluids. Its content caters to those who wish to deepen their knowledge and tackle complex problems at the intersection of these disciplines.