The Immersed Interface Method

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Author :
Publisher : SIAM
ISBN 13 : 9780898717464
Total Pages : 348 pages
Book Rating : 4.7/5 (174 download)

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Book Synopsis The Immersed Interface Method by : Zhilin Li

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.

The Immersed Interface Method

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Author :
Publisher : SIAM
ISBN 13 : 0898716098
Total Pages : 343 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Immersed Interface Method by : Zhilin Li

Download or read book The Immersed Interface Method written by Zhilin Li and published by SIAM. This book was released on 2006-07-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Interface Problems and Methods in Biological and Physical Flows

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Author :
Publisher : World Scientific
ISBN 13 : 9812837841
Total Pages : 184 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Interface Problems and Methods in Biological and Physical Flows by : Boo Cheong Khoo

Download or read book Interface Problems and Methods in Biological and Physical Flows written by Boo Cheong Khoo and published by World Scientific. This book was released on 2009 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 stand to benefit 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.

Immersed Boundary Method

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Author :
Publisher : Springer Nature
ISBN 13 : 9811539405
Total Pages : 441 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Immersed Boundary Method by : Somnath Roy

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.

Numerical Solution of Differential Equations

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107163226
Total Pages : 305 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Numerical Solution of Differential Equations by : Zhilin Li

Download or read book Numerical Solution of Differential Equations written by Zhilin Li and published by Cambridge University Press. This book was released on 2017-11-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.

Immersed Boundary Method for Cfd

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Author :
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781984295583
Total Pages : 254 pages
Book Rating : 4.2/5 (955 download)

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Book Synopsis Immersed Boundary Method for Cfd by : Guangfa Yao

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.

Mechanics for a New Millennium

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Publisher : Springer Science & Business Media
ISBN 13 : 0306469561
Total Pages : 664 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Mechanics for a New Millennium by : Hassan Aref

Download or read book Mechanics for a New Millennium written by Hassan Aref and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2000 International Congress of Theoretical and Applied Mechanics. The book captures a snapshot view of the state of the art in the field of mechanics and will be invaluable to engineers and scientists from a variety of disciplines.

Fluid Mechanics and Fluid Power – Contemporary Research

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Publisher : Springer
ISBN 13 : 8132227433
Total Pages : 1638 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Fluid Mechanics and Fluid Power – Contemporary Research by : Arun K. Saha

Download or read book Fluid Mechanics and Fluid Power – Contemporary Research written by Arun K. Saha and published by Springer. This book was released on 2016-09-20 with total page 1638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the proceedings of the 42nd National and 5th International Conference on Fluid Mechanics and Fluid Power held at IIT Kanpur in December, 2014.The conference proceedings encapsulate the best deliberations held during the conference. The diversity of participation in the conference, from academia, industry and research laboratories reflects in the articles appearing in the volume. This contributed volume has articles from authors who have participated in the conference on thematic areas such as Fundamental Issues and Perspectives in Fluid Mechanics; Measurement Techniques and Instrumentation; Computational Fluid Dynamics; Instability, Transition and Turbulence; Turbomachinery; Multiphase Flows; Fluid‐Structure Interaction and Flow‐Induced Noise; Microfluidics; Bio‐inspired Fluid Mechanics; Internal Combustion Engines and Gas Turbines; and Specialized Topics. The contents of this volume will prove useful to researchers from industry and academia alike.

Simplified And Highly Stable Lattice Boltzmann Method: Theory And Applications

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Publisher : World Scientific
ISBN 13 : 9811228515
Total Pages : 275 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Simplified And Highly Stable Lattice Boltzmann Method: Theory And Applications by : Zhen Chen

Download or read book Simplified And Highly Stable Lattice Boltzmann Method: Theory And Applications written by Zhen Chen and published by World Scientific. This book was released on 2020-09-15 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique professional volume is about the recent advances in the lattice Boltzmann method (LBM). It introduces a new methodology, namely the simplified and highly stable lattice Boltzmann method (SHSLBM), for constructing numerical schemes within the lattice Boltzmann framework. Through rigorous mathematical derivations and abundant numerical validations, the SHSLBM is found to outperform the conventional LBM in terms of memory cost, boundary treatment and numerical stability.This must-have title provides every necessary detail of the SHSLBM and sample codes for implementation. It is a useful handbook for scholars, researchers, professionals and students who are keen to learn, employ and further develop this novel numerical method.

Computational Fluid Dynamics with Moving Boundaries

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Publisher : Courier Corporation
ISBN 13 : 0486135551
Total Pages : 306 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Computational Fluid Dynamics with Moving Boundaries by : Wei Shyy

Download or read book Computational Fluid Dynamics with Moving Boundaries written by Wei Shyy and published by Courier Corporation. This book was released on 2012-08-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text describes several computational techniques that can be applied to a variety of problems in thermo-fluid physics, multi-phase flow, and applied mechanics involving moving flow boundaries. Step-by-step discussions of numerical procedures include multiple examples that employ algorithms in problem-solving. In addition to its survey of contemporary numerical techniques, this volume discusses formulation and computation strategies as well as applications in many fields. Researchers and professionals in aerospace, chemical, mechanical, and materials engineering will find it a valuable resource. It is also an appropriate textbook for advanced courses in fluid dynamics, computation fluid dynamics, heat transfer, and numerical methods.

Numerical Solution of the Incompressible Navier-Stokes Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764329358
Total Pages : 312 pages
Book Rating : 4.3/5 (293 download)

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Book Synopsis Numerical Solution of the Incompressible Navier-Stokes Equations by : L. Quartapelle

Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations written by L. Quartapelle and published by Springer Science & Business Media. This book was released on 1993-09-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.

Immersed Tunnels

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Publisher : CRC Press
ISBN 13 : 0415459869
Total Pages : 539 pages
Book Rating : 4.4/5 (154 download)

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Book Synopsis Immersed Tunnels by : Richard Lunniss

Download or read book Immersed Tunnels written by Richard Lunniss and published by CRC Press. This book was released on 2013-03-04 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Immersed tunnels have been around for more than a century but remain a relatively unknown form of tunnel construction. For waterway crossings they are an effective alternative to bored tunnels and bridges, particularly in shallower waters, soft alluvial soils, and earthquake-prone areas. Successful implementation requires a thorough understanding of a wide variety of civil engineering disciplines and construction techniques. Immersed Tunnels brings together in one volume all aspects of immersed tunnels from initial feasibility and planning, through design and construction, to operation and maintenance. Get Valuable Insights into Immersed Tunnel Engineering from Expert Practitioners The book presents design and construction principles to give a full appreciation not only of what is involved in an immersed tunnel scheme but also how potential problems are dealt with and overcome. It examines important factors that have to be considered, particularly environmental implications and mechanical and electrical systems. It also gives practical examples of how specific techniques have been used in various projects and highlights issues that designers and constructors should be aware of. In addition, the book discusses operation and maintenance and reviews contractual matters. These aspects are described from the viewpoint of two experienced practitioners in the field who have a wealth of experience on immersed tunnel projects worldwide. As tunnels are increasingly being adopted as engineering solutions around the world, this unique and extensively illustrated reference explores the wide variety of immersed tunnel techniques available to designers and constructors. It provides essential insight for anyone involved, or seeking to be involved, with immersed tunnel projects.

Introduction To Partial Differential Equations (With Maple), An: A Concise Course

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Author :
Publisher : World Scientific
ISBN 13 : 9811228647
Total Pages : 218 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Introduction To Partial Differential Equations (With Maple), An: A Concise Course by : Zhilin Li

Download or read book Introduction To Partial Differential Equations (With Maple), An: A Concise Course written by Zhilin Li and published by World Scientific. This book was released on 2021-09-23 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.

Computational Methods for Multiphase Flow

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Publisher : Cambridge University Press
ISBN 13 : 1139459902
Total Pages : 392 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Computational Methods for Multiphase Flow by : Andrea Prosperetti

Download or read book Computational Methods for Multiphase Flow written by Andrea Prosperetti and published by Cambridge University Press. This book was released on 2009-06-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thanks to high-speed computers and advanced algorithms, the important field of modelling multiphase flows is an area of rapid growth. This one-stop account – now in paperback, with corrections from the first printing – is the ideal way to get to grips with this topic, which has significant applications in industry and nature. Each chapter is written by an acknowledged expert and includes extensive references to current research. All of the chapters are essentially independent and so the book can be used for a range of advanced courses and the self-study of specific topics. No other book covers so many topics related to multiphase flow, and it will therefore be warmly welcomed by researchers and graduate students of the subject across engineering, physics, and applied mathematics.

Numerical Methods for Conservation Laws

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Publisher : Birkhäuser
ISBN 13 : 3034851162
Total Pages : 221 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Numerical Methods for Conservation Laws by : LEVEQUE

Download or read book Numerical Methods for Conservation Laws written by LEVEQUE and published by Birkhäuser. This book was released on 2013-11-11 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.

Direct Numerical Simulations of Gas–Liquid Multiphase Flows

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139496700
Total Pages : 337 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Direct Numerical Simulations of Gas–Liquid Multiphase Flows by : Grétar Tryggvason

Download or read book Direct Numerical Simulations of Gas–Liquid Multiphase Flows written by Grétar Tryggvason and published by Cambridge University Press. This book was released on 2011-03-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Numerical Geodynamic Modelling

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Publisher : Cambridge University Press
ISBN 13 : 0521887542
Total Pages : 359 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Introduction to Numerical Geodynamic Modelling by : Taras Gerya

Download or read book Introduction to Numerical Geodynamic Modelling written by Taras Gerya and published by Cambridge University Press. This book was released on 2010 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.