A High Order Immersed Boundary Method For Simulation Of Incompressible Flows PDF Download

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Nodal Discontinuous Galerkin Methods

Nodal Discontinuous Galerkin Methods
Author: Jan S. Hesthaven
Publisher: Springer Science & Business Media
Total Pages: 507
Release: 2007-12-18
Genre: Mathematics
ISBN: 0387720650

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This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.


Immersed Boundary Method

Immersed Boundary Method
Author: Somnath Roy
Publisher: Springer Nature
Total Pages: 441
Release: 2020-05-15
Genre: Technology & Engineering
ISBN: 9811539405

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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.


The Immersed Interface Method

The Immersed Interface Method
Author: Zhilin Li
Publisher: SIAM
Total Pages: 348
Release: 2006-01-01
Genre: Mathematics
ISBN: 9780898717464

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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.


Particulate Flows

Particulate Flows
Author: Donald A. Drew
Publisher: Springer Science & Business Media
Total Pages: 155
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468471090

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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.


Isogeometric Analysis

Isogeometric Analysis
Author: J. Austin Cottrell
Publisher: John Wiley & Sons
Total Pages: 352
Release: 2009-08-11
Genre: Technology & Engineering
ISBN: 0470749091

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“The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It is very original. There is no other book on this topic.” —René de Borst, Eindhoven University of Technology Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA using precise NURBS geometry in the FEA application. This technology offers the potential to revolutionise automobile, ship and airplane design and analysis by allowing models to be designed, tested and adjusted in one integrative stage. Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material. Provides examples of different applications, showing the reader how to implement isogeometric models Addresses readers on both sides of the CAD/FEA divide Describes Non-Uniform Rational B-Splines (NURBS) basis functions


Complex Effects in Large Eddy Simulations

Complex Effects in Large Eddy Simulations
Author: Stavros Kassinos
Publisher: Springer Science & Business Media
Total Pages: 440
Release: 2007-07-16
Genre: Technology & Engineering
ISBN: 3540342346

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The field of Large Eddy Simulations is reaching a level of maturity that brings this approach to the mainstream of engineering computations, while it opens opportunities and challenges. The main objective of this volume is to bring together leading experts in presenting the state-of-the-art and emerging approaches for treating complex effects in LES. A common theme throughout is the role of LES in the context of multiscale modeling and simulation.


Development of a Numerical Methodology Based on the Immersed Boundary Method for Simulation of Incompressible Viscous Flow in the Presence of Rigid Bodies with Periodically Moving Boundaries

Development of a Numerical Methodology Based on the Immersed Boundary Method for Simulation of Incompressible Viscous Flow in the Presence of Rigid Bodies with Periodically Moving Boundaries
Author: Rafi Sela
Publisher:
Total Pages:
Release: 2020
Genre:
ISBN:

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An extended immersed boundary (IB) methodology utilizing a semi-implicit direct forcing approach was formulated for the simulation of incompressible flows in the presence of periodically moving immersed bodies. The methodology utilizes a Schur complement approach to enforce the kinematic constraints of no-slip for immersed surfaces. The methodology is split into an "embarrassingly" parallel pre-computing stage and a time integration stage, both of which take advantage of the general parallel file system (GPFS) for efficient writing and reading of large amounts of data.


Computational Fluid Dynamics

Computational Fluid Dynamics
Author: Jiyuan Tu
Publisher: Butterworth-Heinemann
Total Pages: 458
Release: 2012-11-07
Genre: Computers
ISBN: 0080982433

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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 .