Numerical "particle-in-cell" Methods

Theory and Applications

Author: I︠U︡riĭ Nikolaevich Grigorʹev,Yu. N. Grigoryev,V. A. Vshivkov,M. P. Fedoruk

Publisher: Walter de Gruyter

ISBN: 9789067643689

Category: Science

Page: 249

View: 7495

Algorithms known as "particle" methods, whose characteristic feature is the discretization technique when the set of discrete objects is introduced, which are model "particles" considered as some mesh of moving nodes, are becoming more and more widespread in mathematical modelling. Until recently, particle methods have mainly been developed as an alternative to classical numerical methods for solving problems in some applied domains of physics and mathematics. As a result, no specialized monographs on this subject have been available. The aim of this book is to fill the gap in literature on this subject of numerical methodes and deals with combined Lagrangian-Eulerian schemes of the "particle-in-cell" type, the most widespread among particle methods. The authors describe a universal approach to the construction of such algorithms. The approach is based on splitting the initial problem by which the auxiliary problem with a hyperbolic (divergent) operator is separated. After special discretization of the solution, such a splitting naturally leads to the well-known schemes of "particle-in-cell" methods. Examples of calculations in this book give the reader an idea of the capabilities of particle-in-cell methods, their requirements to computers, and the degree of precision that can be achieved. This book is primarily intended for specialists in calculations, who want to get a general idea of numerical particle-in-cell methods and the sphere of their applications. As a methodological guide, it will be of interest to undergraduate and postgraduate students, mathematicians and physicists specializing in mathematical modelling.
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Issues in Computation: 2013 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1490109021

Category: Computers

Page: 1200

View: 6817

Issues in Computation / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Computing. The editors have built Issues in Computation: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Computing in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Computation / 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
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Meshfree Particle Methods

Author: Shaofan Li,Wing Kam Liu

Publisher: Springer Science & Business Media

ISBN: 3540222561

Category: Mathematics

Page: 502

View: 1707

Meshfree Particle Methods is a comprehensive and systematic exposition of particle methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods, and multiscale methods. Most theories, computational formulations, and simulation results presented are recent developments in meshfree methods. They were either just published recently or even have not been published yet, many of them resulting from the authors ́ own research. The presentation of the technical content is heuristic and explanatory with a balance between mathematical rigor and engineering practice. It can be used as a graduate textbook or a comprehensive source for researchers, providing the state of the art on Meshfree Particle Methods.
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Numerische Simulation in der Moleküldynamik

Numerik, Algorithmen, Parallelisierung, Anwendungen

Author: Michael Griebel,Stephan Knapek,Gerhard Zumbusch,Attila Caglar

Publisher: Springer-Verlag

ISBN: 364218779X

Category: Mathematics

Page: 480

View: 7365

Das Buch behandelt Methoden des wissenschaftlichen Rechnens in der Moleküldynamik, einem Bereich, der in vielen Anwendungen der Chemie, der Biowissenschaften, der Materialwissenschaften, insbesondere der Nanotechnologie, sowie der Astrophysik eine wichtige Rolle spielt. Es führt in die wichtigsten Simulationstechniken zur numerischen Behandlung der Newtonschen Bewegungsgleichungen ein. Der Schwerpunkt liegt hierbei auf der schnellen Auswertung kurz- und langreichweitiger Kräfte mittels Linked Cell-, P$/\3$M-, Baum- und Multipol-Verfahren, sowie deren paralleler Implementierung und Lastbalancierung auf Rechensystemen mit verteiltem Speicher. Die einzelnen Kapitel beinhalten darüberhinaus detailierte Hinweise, um die Verfahren Schritt für Schritt in ein Programmpaket umzusetzen. In zahlreichen farbigen Abbildungen werden Simulationsergebnisse für eine Reihe von Anwendungen präsentiert.
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Numerical Modeling in Micromechanics via Particle Methods

International PFC Symposium, Gelsenkirchen, Germany, 6-8 November 2002

Author: H. Konietzky

Publisher: CRC Press

ISBN: 9789058095329

Category: Technology & Engineering

Page: 334

View: 7730

Particle methods have seen increasing use in several engineering and scientific fields, both because of their unique modelling capabilities and the availability of the necessary computational power. This title focuses on their theory and application.
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Air Pollution Modeling and Its Application I

Author: C. De Wispelaere

Publisher: Springer Science & Business Media

ISBN: 146133344X

Category: Science

Page: 748

View: 7169

This is the first in a new series of publications arlslng out of the work of the Committee on Challenges of Modern Society of the North Atlantic Treaty Organization. The CCMS was established in 1969 with a mandate to examine practical ways of improving the exchange of experience among mem ber nations of the Alliance in the task of creating a better envir onment for their societies. It was charged with considering "spe cific problems of the human environment with the deliberate objec tive of stimulating action by member governments". It may come as a surprise to some that NATO - generally thought of as being an organization devoted solely to matters of defence - should concern itself with the environment at all. But this is to overlook Article 2 of the North Atlantic Treaty of 1949, which expressly provides that member count ries should contribute towards the furt her development of peaceful and friendly internat ional relations by promoting conditions of stability and well being. This concern is reflected in many non-military areas, in addition to the environmental one. I wish the present volume, which has been edited by the Bel gian Prime Minister's Office for Science Policy Programming, every success.
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Numerical Models in Groundwater Pollution

Author: Karel Kovarik

Publisher: Springer Science & Business Media

ISBN: 9783540667926

Category: Science

Page: 224

View: 7874

Mathematical models are powerful tools used in the prediction of pollutant movement. This book discusses the Finite Element Method (FEM) and Boundary Element Method (BEM), and takes a look at the advantages of these methods in groundwater hydrology. The combination of the BEM and the random-walk particle tracking method is also presented. The book includes computer programs, source code, and examples developed on the basis of the theoretical backgrounds of these methods. These Visual C++ programs are compatible with the Windows platform.
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Relativistic Heavy Ion Physics

Author: László P. Csernai,D. Strottman

Publisher: World Scientific

ISBN: 9789810205362

Category: Heavy ion collisions

Page: 717

View: 2571

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Computer Applications in Plasma Science and Engineering

Author: Adam T. Drobot

Publisher: Springer Science & Business Media

ISBN: 1461230926

Category: Computers

Page: 457

View: 3280

This volume, which contains 15 contributions, is based on a minicourse held at the 1987 IEEE Plasma Science Meeting. The purpose of the lectures in the course was to acquaint the students with the multidisciplinary nature of computational techniques and the breadth of research areas in plasma science in which computation can address important physics and engineering design issues. These involve: electric and magnetic fields, MHD equations, chemistry, radiation, ionization etc. The contents of the contributions, written subsequent to the minicourse, stress important aspects of computer applications. They are: 1) the numerical methods used; 2) the range of applicability; 3) how the methods are actually employed in research and in the design of devices; and, as a compendium, 4) the multiplicity of approaches possible for any one problem. The materials in this book are organized by both subject and applications which display some of the richness in computational plasma physics.
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Numerical Simulation in Molecular Dynamics

Numerics, Algorithms, Parallelization, Applications

Author: Michael Griebel,Stephan Knapek,Gerhard Zumbusch

Publisher: Springer Science & Business Media

ISBN: 3540680950

Category: Science

Page: 476

View: 551

This book details the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating computer particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique. It illustrates modeling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. The text offers step-by-step explanations of numerical simulation, providing illustrative code examples. With the description of the algorithms and the presentation of the results of various simulations from fields such as material science, nanotechnology, biochemistry and astrophysics, the reader of this book will learn how to write programs capable of running successful experiments for molecular dynamics.
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Numerical Methods in Mechanics

Author: Carlos Conca,Gabriel N Gatica

Publisher: CRC Press

ISBN: 9780582313200

Category: Mathematics

Page: 192

View: 3556

This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.
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Plasma-Material Interaction in Controlled Fusion

Author: Dirk Naujoks

Publisher: Springer Science & Business Media

ISBN: 3540321497

Category: Technology & Engineering

Page: 268

View: 2263

This book deals with the specific contact between the fourth state of matter, i.e. plasma, and the first state of matter, i.e. a solid wall, in controlled fusion experiments. A comprehensive analysis of the main processes of plasma-surface interaction is given together with an assessment of the most critical questions within the context of general criteria and operation limits. It also contains a survey on other important aspects in nuclear fusion.
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Microbial Signalling and Communication

Author: Society for General Microbiology. Symposium,Reg England,Glyn Hobbs,Nigel Bainton,Society for General Microbiology

Publisher: Cambridge University Press

ISBN: 9780521652612

Category: Medical

Page: 365

View: 6430

Presents information at the forefront of this exciting field and includes contributions on a range of organisms and signalling molecules.
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Advances in Meshfree Techniques

Author: V.M.A. Leitao,C.J.S. Alves,C. Armando Duarte

Publisher: Springer Science & Business Media

ISBN: 1402060955

Category: Technology & Engineering

Page: 315

View: 1231

The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors is a mix of highly distinguished authors as well as promising young researchers. This means that the reader gets a varied and contemporary view on different mesh reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.
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Issues in Computation: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464964521

Category: Computers

Page: 1316

View: 6205

Issues in Computation / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Computation. The editors have built Issues in Computation: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Computation in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Computation / 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
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