Immersed Boundary Method

Download or read book Immersed Boundary Method written by Somnath Roy and published by Springer Nature. This book was released on 2020-05-15 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations. It discusses formulations of different IB implementations and also demonstrates applications of these methods in a wide range of problems. It will be of special value to researchers and engineers as well as graduate students working on immersed boundary methods, specifically on recent developments and applications. The book can also be used as a supplementary textbook in advanced courses in computational fluid dynamics.

Download or read book Immersed Boundary Method for Cfd written by Guangfa Yao and published by Createspace Independent Publishing Platform. This book was released on 2018-01-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The immersed boundary method has become increasingly popular in modeling fluid-structure interaction using computational fluid dynamics. It does this by adding a body force term in the momentum equations. The magnitude and direction of this body force assure that the boundary condition on the solid-fluid interface is satisfied without invoking the body-fitted numerical methods to impose the boundary condition on a solid-fluid interface. This eliminates the significant effort involved in the usually challenging task of generating a body fitted mesh. The governing equations for fluid flow with or without moving solid bodies are solved using a fixed and non-body conforming Cartesian mesh. There are many variations of immersed boundary methods with different implementations to calculate the body force term. A few popular implementations are introduced in this book. Related equations are derived and presented in detail. As examples, a few approaches are formulated using different methods to calculate the body force term, with related validations. Immersed boundary methods are usually coupled with fractional step methods to model fluid flow. One fractional step method is introduced in this book. The related discretized equations are derived in detail. The treatment of domain boundary conditions is also discussed. In immersed boundary methods, the stationary or moving solid bodies in a computational domain are embedded in the fixed mesh. Solid bodies need to be represented or tracked. Interpolation and/or extrapolation need to be performed to calculate the body force term and impose the velocity boundary condition on a solid-fluid interface. In some approaches, a solid volume fraction is also needed in cells containing some solid. The level set method, as a powerful tool that is usually used to track a free surface flow, and construct and manipulate complex geometries, is chosen in the book to perform these tasks. Representing and tracking solid bodies, performing interpolation and extrapolation, and calculating a solid volume fraction are discussed in detail, using the level set method. This book focuses on the implementation of the immersed boundary methods by providing detailed derivations of related equations to facilitate the readers' understanding, so that they may learn the basics and write their own code.

Download or read book Computational Fluid Dynamics written by Takeo Kajishima and published by Springer. This book was released on 2016-10-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents numerical solution techniques for incompressible turbulent flows that occur in a variety of scientific and engineering settings including aerodynamics of ground-based vehicles and low-speed aircraft, fluid flows in energy systems, atmospheric flows, and biological flows. This book encompasses fluid mechanics, partial differential equations, numerical methods, and turbulence models, and emphasizes the foundation on how the governing partial differential equations for incompressible fluid flow can be solved numerically in an accurate and efficient manner. Extensive discussions on incompressible flow solvers and turbulence modeling are also offered. This text is an ideal instructional resource and reference for students, research scientists, and professional engineers interested in analyzing fluid flows using numerical simulations for fundamental research and industrial applications.

Download or read book Computational Fluid Dynamics written by Jiyuan Tu and published by Butterworth-Heinemann. This book was released on 2012-11-07 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to CFD fundamentals and using commercial CFD software to solve engineering problems, designed for the wide variety of engineering students new to CFD, and for practicing engineers learning CFD for the first time. Combining an appropriate level of mathematical background, worked examples, computer screen shots, and step by step processes, this book walks the reader through modeling and computing, as well as interpreting CFD results. The first book in the field aimed at CFD users rather than developers. New to this edition: A more comprehensive coverage of CFD techniques including discretisation via finite element and spectral element as well as finite difference and finite volume methods and multigrid method. Coverage of different approaches to CFD grid generation in order to closely match how CFD meshing is being used in industry. Additional coverage of high-pressure fluid dynamics and meshless approach to provide a broader overview of the application areas where CFD can be used. 20% new content .

Download or read book Particulate Flows written by Donald A. Drew and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications PARTICULATE FLOWS: PROCESSING AND RHEOLOGY is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1995-1996 IMA program on "Mathematical Methods in Materials Science." We would like to thank Donald A. Drew, Daniel D. Joseph, and Stephen L. Passman for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE The workshop on Particulate Flows: Processing and Rheology was held January 8-12, 1996 at the Institute for Mathematics and its Applications on the University of Minnesota Twin Cities campus as part of the 1995- 96 Program on Mathematical Methods in Materials Science. There were about forty participants, and some lively discussions, in spite of the fact that bad weather on the east coast kept some participants from attending, and caused scheduling changes throughout the workshop. Heterogeneous materials can behave strangely, even in simple flow sit uations. For example, a mixture of solid particles in a liquid can exhibit behavior that seems solid-like or fluid-like, and attempting to measure the "viscosity" of such a mixture leads to contradictions and "unrepeatable" experiments. Even so, such materials are commonly used in manufacturing and processing.

Download or read book The Immersed Interface Method written by Zhilin Li and published by SIAM. This book was released on 2006-01-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.

Download or read book Gas-Particle and Granular Flow Systems written by Nan Gui and published by Elsevier. This book was released on 2019-10-23 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gas-Particle and Granular Flow Systems: Coupled Numerical Methods and Applications breaks down complexities, details numerical methods (including basic theory, modeling and techniques in programming), and provides researchers with an introduction and starting point to each of the disciplines involved. As the modeling of gas-particle and granular flow systems is an emerging interdisciplinary field of study involving mathematics, numerical methods, computational science, and mechanical, chemical and nuclear engineering, this book provides an ideal resource for new researchers who are often intimidated by the complexities of fluid-particle, particle-particle, and particle-wall interactions in many disciplines.