The Immersed Interface Method
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The Immersed Interface Method
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Author : Zhilin Li
language : en
Publisher: SIAM
Release Date : 2006-07-01
The Immersed Interface Method written by Zhilin Li and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-01 with Mathematics categories.
"This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--BOOK JACKET.
Immersed Boundary Method
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Author : Somnath Roy
language : en
Publisher: Springer Nature
Release Date : 2020-05-15
Immersed Boundary Method written by Somnath Roy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-15 with Technology & Engineering categories.
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.
Immersed Boundary Method For Cfd
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Author : Guangfa Yao
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-01-29
Immersed Boundary Method For Cfd written by Guangfa Yao and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-29 with categories.
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.
The Immersed Interface Method
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Author : Zhilin Li
language : en
Publisher:
Release Date : 1994
The Immersed Interface Method written by Zhilin Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Differential equations, Partial categories.
Interface Problems And Methods In Biological And Physical Flows
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Author : Boo Cheong Khoo
language : en
Publisher: World Scientific
Release Date : 2009
Interface Problems And Methods In Biological And Physical Flows written by Boo Cheong Khoo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
This volume showcases lecture notes collected from tutorials presented at the Workshop on Moving Interface Problems and Applications in Fluid Dynamics that was held between January 8 and March 31, 2007 at the Institute for Mathematical Sciences, National University of Singapore. As part of the program, these tutorials were conducted by specialists within their respective areas such as Robert Dillon, Zhilin Li, John Lowengrub, Frank Lu and Gretar Tryggvason. The topics in the program encompass modeling and simulations of biological flow coupled to deformable tissue/elastic structure, shock wave and bubble dynamics and various applications like biological treatments with experimental verification, multi-medium flow or multiphase flow and various applications including cavitation/supercavitation, detonation problems, Newtonian and non-Newtonian fluid, and many other areas. This volume benefits graduate students and researchers keen in the field of interfacial flows for application to physical and biological systems. Even beginners will find this volume a very useful starting point with many relevant references applicable.
The Immersed Interface Method For Two Dimensional Helmhotlz
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Author : Sidong Max Zhang
language : en
Publisher:
Release Date : 2013
The Immersed Interface Method For Two Dimensional Helmhotlz written by Sidong Max Zhang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Moving Interface Problems And Applications In Fluid Dynamics
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Author : Boo Cheong Khoo
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Moving Interface Problems And Applications In Fluid Dynamics written by Boo Cheong Khoo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This volume is a collection of research papers presented at the program on Moving Interface Problems and Applications in Fluid Dynamics, which was held between January 8 and March 31, 2007 at the Institute for Mathematical Sciences (IMS) of the National University of Singapore. The topics discussed include modeling and simulations of biological flow coupled to deformable tissue/elastic structure, shock wave and bubble dynamics and various applications including biological treatments with experimental verification, multi-medium flow or multi-phase flow and various applications including cavitation/supercavitation, detonation problems, Newtonian and non-Newtonian fluid, and many other areas. Readers can benefit from some recent research results in these areas.
Natural Locomotion In Fluids And On Surfaces
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Author : Stephen Childress
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-14
Natural Locomotion In Fluids And On Surfaces written by Stephen Childress and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-14 with Mathematics categories.
This volume developed from a Workshop on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding which was held at the Institute for Mathematics and its Applications (IMA) at the University of Minnesota, from June 1-5, 2010. The subject matter ranged widely from observational data to theoretical mechanics, and reflected the broad scope of the workshop. In both the prepared presentations and in the informal discussions, the workshop engaged exchanges across disciplines and invited a lively interaction between modelers and observers. The articles in this volume were invited and fully refereed. They provide a representative if necessarily incomplete account of the field of natural locomotion during a period of rapid growth and expansion. The papers presented at the workshop, and the contributions to the present volume, can be roughly divided into those pertaining to swimming on the scale of marine organisms, swimming of microorganisms at low Reynolds numbers, animal flight, and sliding and other related examples of locomotion.
Large Scale Scientific Computing
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Author : Ivan Lirkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-28
Large Scale Scientific Computing written by Ivan Lirkov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-28 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Large-Scale Scientific Computations, LSSC 2007, held in Sozopol, Bulgaria, in June 2007. The 81 revised full papers presented together with 5 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on robust multilevel and hierarchical preconditioning methods; monte carlo: tools, applications, distributed computing; operator splittings, their application and realization; recent advances in methods and applications for large scale computations and optimization of coupled engineering problems; control systems; environmental modelling; computational grid and large-scale problems; application of metaheuristics to large-scale problems; and contributed talks.
Biological Fluid Dynamics Modeling Computations And Applications
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Author : Anita T. Layton
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-10-14
Biological Fluid Dynamics Modeling Computations And Applications written by Anita T. Layton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-14 with Mathematics categories.
This volume contains the Proceedings of the AMS Special Session on Biological Fluid Dynamics: Modeling, Computation, and Applications, held on October 13, 2012, at Tulane University, New Orleans, Louisiana. In recent years, there has been increasing interest in the development and application of advanced computational techniques for simulating fluid motion driven by immersed flexible structures. That interest is motivated, in large part, by the multitude of applications in physiology and biology. In some biological systems, fluid motion is driven by active biological tissues, which are typically constructed of fibers that are surrounded by fluid. Not only do the fibers hold the tissues together, they also transmit forces that ultimately result in fluid motion. In other examples, the fluid may flow through conduits such as blood vessels or airways that are flexible or active. That is, those conduits may react to and affect the fluid dynamics. This volume responds to the widespread interest among mathematicians, biologists, and engineers in fluid-structure interactions problems. Included are expository and review articles in biological fluid dynamics. Applications that are considered include ciliary motion, upside-down jellyfish, biological feedback in the kidney, peristalsis and dynamic suction pumping, and platelet cohesion and adhesion.