Large-Scale Computation of Incompressible Viscous Flow by Least-Squares Finite Element Method

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ISBN 13 : 9781729046852
Total Pages : 26 pages
Book Rating : 4.0/5 (468 download)

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Book Synopsis Large-Scale Computation of Incompressible Viscous Flow by Least-Squares Finite Element Method by : National Aeronautics and Space Adm Nasa

Download or read book Large-Scale Computation of Incompressible Viscous Flow by Least-Squares Finite Element Method written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-10-21 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The least-squares finite element method (LSFEM) based on the velocity-pressure-vorticity formulation is applied to large-scale/three-dimensional steady incompressible Navier-Stokes problems. This method can accommodate equal-order interpolations and results in symmetric, positive definite algebraic system which can be solved effectively by simple iterative methods. The first-order velocity-Bernoulli function-vorticity formulation for incompressible viscous flows is also tested. For three-dimensional cases, an additional compatibility equation, i.e., the divergence of the vorticity vector should be zero, is included to make the first-order system elliptic. The simple substitution of the Newton's method is employed to linearize the partial differential equations, the LSFEM is used to obtain discretized equations, and the system of algebraic equations is solved using the Jacobi preconditioned conjugate gradient method which avoids formation of either element or global matrices (matrix-free) to achieve high efficiency. To show the validity of this scheme for large-scale computation, we give numerical results for 2D driven cavity problem at Re = 10000 with 408 x 400 bilinear elements. The flow in a 3D cavity is calculated at Re = 100, 400, and 1,000 with 50 x 50 x 50 trilinear elements. The Taylor-Goertler-like vortices are observed for Re = 1,000. Jiang, Bo-Nan and Lin, T. L. and Povinelli, Louis A. Glenn Research Center NCC3-233; RTOP 505-62-21...

Large-scale Computation of Incompressible Viscous Flow by Least-squares Finite Element Method

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ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Large-scale Computation of Incompressible Viscous Flow by Least-squares Finite Element Method by : Bo-nan Jiang

Download or read book Large-scale Computation of Incompressible Viscous Flow by Least-squares Finite Element Method written by Bo-nan Jiang and published by . This book was released on 1993 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition

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Publisher : CRC Press
ISBN 13 : 1420085980
Total Pages : 515 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition by : J. N. Reddy

Download or read book The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition written by J. N. Reddy and published by CRC Press. This book was released on 2010-04-06 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols. This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flows With its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.

Least-Squares Finite Element Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 0387689222
Total Pages : 669 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Least-Squares Finite Element Methods by : Pavel B. Bochev

Download or read book Least-Squares Finite Element Methods written by Pavel B. Bochev and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.

An Introduction to Nonlinear Finite Element Analysis

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Publisher :
ISBN 13 : 0199641757
Total Pages : 721 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis An Introduction to Nonlinear Finite Element Analysis by : Junuthula Narasimha Reddy

Download or read book An Introduction to Nonlinear Finite Element Analysis written by Junuthula Narasimha Reddy and published by . This book was released on 2015 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of nonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2 through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to date developments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition and material on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of the second edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the progr

Computer Algebra in Scientific Computing

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Publisher : Springer
ISBN 13 : 3319663208
Total Pages : 419 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Computer Algebra in Scientific Computing by : Vladimir P. Gerdt

Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer. This book was released on 2017-09-07 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017. The 28 full papers presented in this volume were carefully reviewed and selected from 33 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.

NASA Technical Memorandum

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Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Memorandum by :

Download or read book NASA Technical Memorandum written by and published by . This book was released on 1994 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition

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Publisher : CRC Press
ISBN 13 : 9780849323553
Total Pages : 496 pages
Book Rating : 4.3/5 (235 download)

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Book Synopsis The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition by : J. N. Reddy

Download or read book The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition written by J. N. Reddy and published by CRC Press. This book was released on 2000-12-20 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical simulation of fluid mechanics and heat transfer problems is now a standard part of engineering practice. The widespread availability of capable computing hardware has led to an increased demand for computer simulations of products and processes during their engineering design and manufacturing phases. The range of fluid mechanics and heat transfer applications of finite element analysis has become quite remarkable, with complex, realistic simulations being carried out on a routine basis. The award-winning first edition of The Finite Element Method in Heat Transfer and Fluid Dynamics brought this powerful methodology to those interested in applying it to the significant class of problems dealing with heat conduction, incompressible viscous flows, and convection heat transfer. The Second Edition of this bestselling text continues to provide the academic community and industry with up-to-date, authoritative information on the use of the finite element method in the study of fluid mechanics and heat transfer. Extensively revised and thoroughly updated, new and expanded material includes discussions on difficult boundary conditions, contact and bulk nodes, change of phase, weighted-integral statements and weak forms, chemically reactive systems, stabilized methods, free surface problems, and much more. The Finite Element Method in Heat Transfer and Fluid Dynamics offers students a pragmatic treatment that views numerical computation as a means to an end and does not dwell on theory or proof. Mastering its contents brings a firm understanding of the basic methodology, competence in using existing simulation software, and the ability to develop some simpler, special purpose computer codes.

Optimal Modified Continuous Galerkin CFD

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Publisher : John Wiley & Sons
ISBN 13 : 111840307X
Total Pages : 574 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Optimal Modified Continuous Galerkin CFD by : A. J. Baker

Download or read book Optimal Modified Continuous Galerkin CFD written by A. J. Baker and published by John Wiley & Sons. This book was released on 2014-03-10 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the theory and applications of using weak form theory in incompressible fluid-thermal sciences Giving you a solid foundation on the Galerkin finite-element method (FEM), this book promotes the use of optimal modified continuous Galerkin weak form theory to generate discrete approximate solutions to incompressible-thermal Navier-Stokes equations. The book covers the topic comprehensively by introducing formulations, theory and implementation of FEM and various flow formulations. The author first introduces concepts, terminology and methodology related to the topic before covering topics including aerodynamics; the Navier-Stokes Equations; vector field theory implementations and large eddy simulation formulations. Introduces and addresses many different flow models (Navier-Stokes, full-potential, potential, compressible/incompressible) from a unified perspective Focuses on Galerkin methods for CFD beneficial for engineering graduate students and engineering professionals Accompanied by a website with sample applications of the algorithms and example problems and solutions This approach is useful for graduate students in various engineering fields and as well as professional engineers.

Numerical Simulation of Incompressible Viscous Flow

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110785056
Total Pages : 236 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Numerical Simulation of Incompressible Viscous Flow by : Roland Glowinski

Download or read book Numerical Simulation of Incompressible Viscous Flow written by Roland Glowinski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-20 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.

Computational Fluid-Structure Interaction

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Publisher : Academic Press
ISBN 13 : 0128147717
Total Pages : 504 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Computational Fluid-Structure Interaction by : Yong Zhao

Download or read book Computational Fluid-Structure Interaction written by Yong Zhao and published by Academic Press. This book was released on 2018-09-25 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid-Structure Interaction: Methods, Models, and Applications provides detailed explanations of a range of FSI models, their mathematical formulations, validations, and applications, with an emphasis on conservative unstructured-grid FVM. The first part of the book presents the nascent numerical methods, algorithms and solvers for both compressible and incompressible flows, computational structural dynamics (CSD), parallel multigrid, IOM, IMM and ALE methods. The second half covers the validations of these numerical methods and solvers, as well as their applications in a broad range of areas in basic research and engineering. Provides a comprehensive overview of the latest numerical methods used in FSI, including the unstructured-grid finite volume method (FVM), parallel multigrid scheme, overlapping mesh, immersed object method (IOM), immersed membrane method (IMM), arbitrary Lagragian-Eulerian (ALE), and more Provides full details of the numerical methods, solvers and their validations Compares different methods to help readers more effectively choose the right approach for their own FSI problems Features real-life FSI case studies, such as large eddy simulation of aeroelastic flutter of a wing, parallel computation of a bio-prosthetic heart valve, and ALE study of a micro aerial vehicle

The Least-Squares Finite Element Method

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Publisher : Springer Science & Business Media
ISBN 13 : 3662037408
Total Pages : 425 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Least-Squares Finite Element Method by : Bo-nan Jiang

Download or read book The Least-Squares Finite Element Method written by Bo-nan Jiang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.

Introduction to the Numerical Analysis of Incompressible Viscous Flows

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Publisher : SIAM
ISBN 13 : 0898718902
Total Pages : 220 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Introduction to the Numerical Analysis of Incompressible Viscous Flows by : William Layton

Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William Layton and published by SIAM. This book was released on 2008-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.

Monthly Catalog of United States Government Publications

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis Monthly Catalog of United States Government Publications by :

Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Fluid and Solid Mechanics 2003

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Publisher : Elsevier
ISBN 13 : 9780080529479
Total Pages : 2524 pages
Book Rating : 4.5/5 (294 download)

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Book Synopsis Computational Fluid and Solid Mechanics 2003 by : K.J Bathe

Download or read book Computational Fluid and Solid Mechanics 2003 written by K.J Bathe and published by Elsevier. This book was released on 2003-06-02 with total page 2524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design. The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis

Applied mechanics reviews

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monthly Catalogue, United States Public Documents

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Publisher :
ISBN 13 :
Total Pages : 952 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Monthly Catalogue, United States Public Documents by :

Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1994 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt: