Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

Selected papers from the ICOSAHOM conference, June 25-29, 2012, Gammarth, Tunisia

Author: Mejdi Azaïez,Henda El Fekih,Jan S. Hesthaven

Publisher: Springer Science & Business Media

ISBN: 3319016016

Category: Mathematics

Page: 425

View: 5151

The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography. ​

IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach

Results of a Collaborative Research Project Funded by the European Union, 2010 - 2014

Author: Norbert Kroll,Charles Hirsch,Francesco Bassi,Craig Johnston,Koen Hillewaert

Publisher: Springer

ISBN: 3319128868

Category: Technology & Engineering

Page: 686

View: 7327

The book describes the main findings of the EU-funded project IDIHOM (Industrialization of High-Order Methods – A Top-Down Approach). The goal of this project was the improvement, utilization and demonstration of innovative higher-order simulation capabilities for large-scale aerodynamic application challenges in the aircraft industry. The IDIHOM consortium consisted of 21 organizations, including aircraft manufacturers, software vendors, as well as the major European research establishments and several universities, all of them with proven expertise in the field of computational fluid dynamics. After a general introduction to the project, the book reports on new approaches for curved boundary-grid generation, high-order solution methods and visualization techniques. It summarizes the achievements, weaknesses and perspectives of the new simulation capabilities developed by the project partners for various industrial applications, and includes internal- and external-aerodynamic as well as multidisciplinary test cases.

Spectral and High Order Methods for Partial Differential Equations

Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway

Author: Jan S. Hesthaven,Einar M. Rønquist

Publisher: Springer Science & Business Media

ISBN: 9783642153372

Category: Mathematics

Page: 510

View: 4780

The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.

Slow Viscous Flow

Author: William E. Langlois,Michel O. Deville

Publisher: Springer Science & Business Media

ISBN: 3319038354

Category: Mathematics

Page: 324

View: 6465

Leonardo wrote, “Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics”; replace “Mechanics” by “Fluid mechanics” and here we are. - From the Preface to the Second Edition Although the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large, and turbulence in flows remains a challenging problem in classical physics. Like its predecessor, the revised and expanded Second Edition of this book addresses the basic principles of fluid mechanics and solves fluid flow problems where viscous effects are the dominant physical phenomena. Much progress has occurred in the half a century that has passed since the edition of 1964. As predicted, aspects of hydrodynamics once considered offbeat have risen to importance. For example, the authors have worked on problems where variations in viscosity and surface tension cannot be ignored. The advent of nanotechnology has broadened interest in the hydrodynamics of thin films, and hydromagnetic effects and radiative heat transfer are routinely encountered in materials processing. This monograph develops the basic equations, in the three most important coordinate systems, in a way that makes it easy to incorporate these phenomena into the theory. The book originally described by Prof. Langlois as "a monograph on theoretical hydrodynamics, written in the language of applied mathematics" offers much new coverage including the second principle of thermodynamics, the Boussinesq approximation, time dependent flows, Marangoni convection, Kovasznay flow, plane periodic solutions, Hele-Shaw cells, Stokeslets, rotlets, finite element methods, Wannier flow, corner eddies, and analysis of the Stokes operator.

High-Order Methods for Computational Physics

Author: Timothy J. Barth,Herman Deconinck

Publisher: Springer Science & Business Media

ISBN: 366203882X

Category: Mathematics

Page: 587

View: 2608

The development of high-order accurate numerical discretization techniques for irregular domains and meshes is often cited as one of the remaining chal lenges facing the field of computational fluid dynamics. In structural me chanics, the advantages of high-order finite element approximation are widely recognized. This is especially true when high-order element approximation is combined with element refinement (h-p refinement). In computational fluid dynamics, high-order discretization methods are infrequently used in the com putation of compressible fluid flow. The hyperbolic nature of the governing equations and the presence of solution discontinuities makes high-order ac curacy difficult to achieve. Consequently, second-order accurate methods are still predominately used in industrial applications even though evidence sug gests that high-order methods may offer a way to significantly improve the resolution and accuracy for these calculations. To address this important topic, a special course was jointly organized by the Applied Vehicle Technology Panel of NATO's Research and Technology Organization (RTO), the von Karman Institute for Fluid Dynamics, and the Numerical Aerospace Simulation Division at the NASA Ames Research Cen ter. The NATO RTO sponsored course entitled "Higher Order Discretization Methods in Computational Fluid Dynamics" was held September 14-18,1998 at the von Karman Institute for Fluid Dynamics in Belgium and September 21-25,1998 at the NASA Ames Research Center in the United States.

High-Resolution Methods for Incompressible and Low-Speed Flows

Author: D. Drikakis,W. Rider

Publisher: Springer Science & Business Media

ISBN: 354026454X

Category: Science

Page: 622

View: 9623

The study of incompressible ?ows is vital to many areas of science and te- nology. This includes most of the ?uid dynamics that one ?nds in everyday life from the ?ow of air in a room to most weather phenomena. Inundertakingthesimulationofincompressible?uid?ows,oneoftentakes many issues for granted. As these ?ows become more realistic, the problems encountered become more vexing from a computational point-of-view. These range from the benign to the profound. At once, one must contend with the basic character of incompressible ?ows where sound waves have been analytically removed from the ?ow. As a consequence vortical ?ows have been analytically “preconditioned,” but the ?ow has a certain non-physical character (sound waves of in?nite velocity). At low speeds the ?ow will be deterministic and ordered, i.e., laminar. Laminar ?ows are governed by a balance between the inertial and viscous forces in the ?ow that provides the stability. Flows are often characterized by a dimensionless number known as the Reynolds number, which is the ratio of inertial to viscous forces in a ?ow. Laminar ?ows correspond to smaller Reynolds numbers. Even though laminar ?ows are organized in an orderly manner, the ?ows may exhibit instabilities and bifurcation phenomena which may eventually lead to transition and turbulence. Numerical modelling of suchphenomenarequireshighaccuracyandmostimportantlytogaingreater insight into the relationship of the numerical methods with the ?ow physics.

Spectral Methods for Time-Dependent Problems

Author: Jan S. Hesthaven,Sigal Gottlieb,David Gottlieb

Publisher: Cambridge University Press

ISBN: 113945952X

Category: Mathematics

Page: N.A

View: 7556

Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.

Standard Handbook for Aerospace Engineers, Second Edition

Author: Brij N. Agrawal,Max F. Platzer

Publisher: McGraw Hill Professional

ISBN: 1259585182

Category: Technology & Engineering

Page: 1392

View: 6813

A single source of essential information for aerospace engineers This fully revised resource presents theories and practices from more than 50 specialists in the many sub-disciplines of aeronautical and astronautical engineering—all under one cover. The Standard Handbook for Aerospace Engineers, Second Edition, contains complete details on classic designs as well as the latest techniques, materials, and processes used in aviation, defense, and space systems. You will get insightful, practical coverage of the gamut of aerospace engineering technologies along with hundreds of informative diagrams, charts, and graphs. Standard Handbook for Aerospace Engineers, Second Edition covers: •Futures of aerospace •Aircraft systems •Aerodynamics, aeroelasticity, and acoustics •Aircraft performance •Aircraft flight mechanics, stability, and control •Avionics and air traffic management systems •Aeronautical design •Spacecraft design •Astrodynamics •Rockets and launch vehicles •Earth’s environment and space •Attitude dynamics and control

Numerical Methods for Hyperbolic Equations

Author: Elena Vázquez-Cendón,Arturo Hidalgo,Pilar Garcia Navarro,Luis Cea

Publisher: CRC Press

ISBN: 041562150X

Category: Mathematics

Page: 434

View: 1172

Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics covered include: • Recent advances in the numerical computation of environmental conservation laws with source terms • Multiphase flow and porous media • Numerical methods in astrophysics • Seismology and geophysics modelling • High order methods for hyperbolic conservation laws • Numerical methods for reactive flows • Finite volume and discontinous Galerkin schemes for stiff source term problems • Methods and models for biomedical problems • Numerical methods for reactive flows The research interest of Eleuterio Toro, born in Chile on 16th July 1946, is reflected in Numerical Methods for Hyperbolic Equations, and focuses on: numerical methods for partial differential equations, with particular emphasis on methods for hyperbolic equations; design and application of new algorithms; hyperbolic partial differential equations as mathematical models of various types of processes; mathematical modelling and simulation of physico/chemical processes that include wave propagation phenomena; modelling of multiphase flows; application of models and methods to real problems. Eleuterio Toro received several honours and distinctions, including the honorary title OBE from Queen Elizabeth II (Buckingham Palace, London 2000); Distinguished Citizen of the City of Carahue (Chile, 2001); Life Fellow, Claire Hall, University of Cambridge (UK, 2003); Fellow of the Indian Society for Shock Wave Research (Bangalore, 2005); Doctor Honoris Causa (Universidad de Santiago de Chile, 2008); William Penney Fellow, University of Cambridge (UK, 2010); Doctor Honoris Causa (Universidad de la Frontera, Chile, 2012). Professor Toro is author of two books, editor of two books and author of more than 260 research works. In the last ten years he has been invited and keynote speaker in more than 100 scientific events. Professor Toro has held many visiting appointments round the world, which include several European countries, Japan, China and USA.

Numerical Simulations of Incompressible Flows

Author: M. M. Hafez,Dochan Kwak

Publisher: World Scientific

ISBN: 9789812796837

Category: Mathematics

Page: 708

View: 7555

This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field. Contents: NavierOCoStokes Solvers; Projection Methods; Finite Element Methods; Higher-Order Methods; Innovative Methods; Applications in Aeronautics; Applications Beyond Aeronautics; Multiphase and Cavitating Flows; Special Topics. Readership: Researchers and graduate students in computational science and engineering."

Spectral Methods for Incompressible Viscous Flow

Author: Roger Peyret

Publisher: Springer Science & Business Media

ISBN: 9780387952215

Category: Mathematics

Page: 434

View: 2715

This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.

Essential Computational Fluid Dynamics

Author: Oleg Zikanov

Publisher: John Wiley & Sons

ISBN: 1118174399

Category: Science

Page: 320

View: 4114

This book serves as a complete and self-contained introduction tothe principles of Computational Fluid Dynamic (CFD)analysis. It is deliberately short (at approximately 300pages) and can be used as a text for the first part of the courseof applied CFD followed by a software tutorial. The mainobjectives of this non-traditional format are: 1) To introduce andexplain, using simple examples where possible, the principles andmethods of CFD analysis and to demystify the `black box’ of aCFD software tool, and 2) To provide a basic understanding of howCFD problems are set and which factors affect the success andfailure of the analysis. Included in the text are themathematical and physical foundations of CFD, formulation of CFDproblems, basic principles of numerical approximation (grids,consistency, convergence, stability, and order of approximation,etc), methods of discretization with focus on finite difference andfinite volume techniques, methods of solution of transient andsteady state problems, commonly used numerical methods for heattransfer and fluid flows, plus a brief introduction into turbulencemodeling.

Computational Fluid Dynamics 2008

Author: Haecheon Choi,H. G. Choi,J. Y. Yoo

Publisher: Springer Science & Business Media

ISBN: 3642012736

Category: Technology & Engineering

Page: 822

View: 7302

We are delighted to present this book which contains the Proceedings of the Fifth International Conference on Computational Fluid Dynamics (ICCFD5), held in Seoul, Korea from July 7 through 11, 2008. The ICCFD series has established itself as the leading international conference series for scientists, mathematicians, and engineers specialized in the computation of fluid flow. In ICCFD5, 5 Invited Lectures and 3 Keynote Lectures were delivered by renowned researchers in the areas of innovative modeling of flow physics, innovative algorithm development for flow simulation, optimization and control, and advanced multidisciplinary - plications. There were a total of 198 contributed abstracts submitted from 25 countries. The executive committee consisting of C. H. Bruneau (France), J. J. Chattot (USA), D. Kwak (USA), N. Satofuka (Japan), and myself, was responsible for selection of papers. Each of the members had a separate subcommittee to carry out the evaluation. As a result of this careful peer review process, 138 papers were accepted for oral presentation and 28 for poster presentation. Among them, 5 (3 oral and 2 poster presentation) papers were withdrawn and 10 (4 oral and 6 poster presentation) papers were not presented. The conference was attended by 201 delegates from 23 countries. The technical aspects of the conference were highly beneficial and informative, while the non-technical aspects were fully enjoyable and memorable. In this book, 3 invited lectures and 1 keynote lecture appear first. Then 99 c- tributed papers are grouped under 21 subject titles which are in alphabetical order.