Direct Methods For Solving The Boltzmann Equation And Study Of Nonequilibrium Flows

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Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

V.V. Aristov
Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows Book PDF

Author : V.V. Aristov
Publisher : Springer Science & Business Media
Page : 305 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401008662

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Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows by V.V. Aristov Pdf

This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of nonequilibrium gas flows on the basis of direct integration of the kinetic equations. Nevertheless, there are some new aspects in the way this topic is treated in the present monograph. In particular, attention is paid to the advantages of the Boltzmann equation as a tool for considering nonequi librium, nonlinear processes. New fields of application of the Boltzmann equation are also described. Solutions of some problems are obtained with higher accuracy. Numerical procedures, such as parallel computing, are in vestigated for the first time. The structure and the contents of the present book have some com mon features with the monograph mentioned above, although there are new issues concerning the mathematical apparatus developed so that the Boltzmann equation can be applied for new physical problems. Because of this some chapters have been rewritten and checked again and some new chapters have been added.

Computational Fluid Dynamics 2006

Herman Deconinck,E. Dick
Computational Fluid Dynamics 2006 Book PDF

Author : Herman Deconinck,E. Dick
Publisher : Springer Science & Business Media
Page : 893 pages
File Size : 42,9 Mb
Release : 2009-08-04
Category : Technology & Engineering
ISBN : 9783540927792

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Computational Fluid Dynamics 2006 by Herman Deconinck,E. Dick Pdf

The International Conference on Computational Fluid Dynamics (ICCFD) is the merger of the International Conference on Numerical Methods in Fluid Dynamics, ICNMFD (since 1969) and International Symposium on Computational Fluid Dynamics, ISCFD (since 1985). It is held every two years and brings together physicists, mathematicians and engineers to review and share recent advances in mathematical and computational techniques for modeling fluid dynamics. The proceedings of the 2006 conference (ICCFD4) held in Gent, Belgium, contain a selection of refereed contributions and are meant to serve as a source of reference for all those interested in the state of the art in computational fluid mechanics.

Rarefied Gas Dynamics

Lei Wu
Rarefied Gas Dynamics Book PDF

Author : Lei Wu
Publisher : Springer Nature
Page : 293 pages
File Size : 54,8 Mb
Release : 2022-09-09
Category : Science
ISBN : 9789811928727

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Rarefied Gas Dynamics by Lei Wu Pdf

This book highlights a comprehensive description of the numerical methods in rarefied gas dynamics, which has strong applications ranging from space vehicle re-entry, micro-electromechanical systems, to shale gas extraction. The book consists of five major parts: The fast spectral method to solve the Boltzmann collision operator for dilute monatomic gas and the Enskog collision operator for dense granular gas; The general synthetic iterative scheme to solve the kinetic equations with the properties of fast convergence and asymptotic preserving; The kinetic modeling of monatomic and molecular gases, and the extraction of critical gas parameters from the experiment of Rayleigh-Brillouin scattering; The assessment of the fluid-dynamics equations derived from the Boltzmann equation and typical kinetic gas-surface boundary conditions; The applications of the fast spectral method and general synthetic iterative scheme to reveal the dynamics in some canonical rarefied gas flows. The book is suitable for postgraduates and researchers interested in rarefied gas dynamics and provides many numerical codes for them to begin with.

GPU Computing Gems Jade Edition

Anonim
GPU Computing Gems Jade Edition Book PDF

Author : Anonim
Publisher : Elsevier
Page : 561 pages
File Size : 44,6 Mb
Release : 2011-11-02
Category : Computers
ISBN : 9780123859648

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GPU Computing Gems Jade Edition by Anonim Pdf

GPU Computing Gems, Jade Edition, offers hands-on, proven techniques for general purpose GPU programming based on the successful application experiences of leading researchers and developers. One of few resources available that distills the best practices of the community of CUDA programmers, this second edition contains 100% new material of interest across industry, including finance, medicine, imaging, engineering, gaming, environmental science, and green computing. It covers new tools and frameworks for productive GPU computing application development and provides immediate benefit to researchers developing improved programming environments for GPUs. Divided into five sections, this book explains how GPU execution is achieved with algorithm implementation techniques and approaches to data structure layout. More specifically, it considers three general requirements: high level of parallelism, coherent memory access by threads within warps, and coherent control flow within warps. Chapters explore topics such as accelerating database searches; how to leverage the Fermi GPU architecture to further accelerate prefix operations; and GPU implementation of hash tables. There are also discussions on the state of GPU computing in interactive physics and artificial intelligence; programming tools and techniques for GPU computing; and the edge and node parallelism approach for computing graph centrality metrics. In addition, the book proposes an alternative approach that balances computation regardless of node degree variance. Software engineers, programmers, hardware engineers, and advanced students will find this book extremely usefull. For useful source codes discussed throughout the book, the editors invite readers to the following website: ..." This second volume of GPU Computing Gems offers 100% new material of interest across industry, including finance, medicine, imaging, engineering, gaming, environmental science, green computing, and more Covers new tools and frameworks for productive GPU computing application development and offers immediate benefit to researchers developing improved programming environments for GPUs Even more hands-on, proven techniques demonstrating how general purpose GPU computing is changing scientific research Distills the best practices of the community of CUDA programmers; each chapter provides insights and ideas as well as 'hands on' skills applicable to a variety of fields

Advances in Spacecraft Technologies

Jason Hall
Advances in Spacecraft Technologies Book PDF

Author : Jason Hall
Publisher : BoD – Books on Demand
Page : 612 pages
File Size : 55,7 Mb
Release : 2011-02-14
Category : Technology & Engineering
ISBN : 9789533075518

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Advances in Spacecraft Technologies by Jason Hall Pdf

The development and launch of the first artificial satellite Sputnik more than five decades ago propelled both the scientific and engineering communities to new heights as they worked together to develop novel solutions to the challenges of spacecraft system design. This symbiotic relationship has brought significant technological advances that have enabled the design of systems that can withstand the rigors of space while providing valuable space-based services. With its 26 chapters divided into three sections, this book brings together critical contributions from renowned international researchers to provide an outstanding survey of recent advances in spacecraft technologies. The first section includes nine chapters that focus on innovative hardware technologies while the next section is comprised of seven chapters that center on cutting-edge state estimation techniques. The final section contains eleven chapters that present a series of novel control methods for spacecraft orbit and attitude control.

Lattice Boltzmann Method and Its Applications in Engineering

Zhaoli Guo,Chang Shu
Lattice Boltzmann Method and Its Applications in Engineering Book PDF

Author : Zhaoli Guo,Chang Shu
Publisher : World Scientific
Page : 419 pages
File Size : 40,6 Mb
Release : 2013
Category : Science
ISBN : 9789814508308

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Lattice Boltzmann Method and Its Applications in Engineering by Zhaoli Guo,Chang Shu Pdf

This book covers the fundamental and practical application of the Lattice Boltzmann method (LBM). This method is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics.

Advances in Turbulence XII

Bruno Eckhardt
Advances in Turbulence XII Book PDF

Author : Bruno Eckhardt
Publisher : Springer Science & Business Media
Page : 973 pages
File Size : 48,9 Mb
Release : 2010-03-17
Category : Science
ISBN : 9783642030857

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Advances in Turbulence XII by Bruno Eckhardt Pdf

This volume comprises the communications presented at the EUROMECH European Turbulence Conference ETC12, held in Marburg in September 2009. The topics covered by the meeting include: Acoustics of turbulent flows, Atmospheric turbulence, Control of turbulent flows, Geophysical and astrophysical turbulence, Instability and transition, Intermittency and scaling, Large eddy simulation and related techniques, Lagrangian aspects, MHD turbulence, Reacting and compressible turbulence, Transport and mixing, Turbulence in multiphase and non-Newtonian flows, Vortex dynamics and structure, formation, Wall bounded flows.

Computational Science - ICCS 2007

Yong Shi,Geert Dick van Albada,Jack Dongarra,Peter M.A. Sloot
Computational Science ICCS 2007 Book PDF

Author : Yong Shi,Geert Dick van Albada,Jack Dongarra,Peter M.A. Sloot
Publisher : Springer
Page : 1280 pages
File Size : 46,5 Mb
Release : 2007-07-13
Category : Computers
ISBN : 9783540725848

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Computational Science - ICCS 2007 by Yong Shi,Geert Dick van Albada,Jack Dongarra,Peter M.A. Sloot Pdf

Part of a four-volume set, this book constitutes the refereed proceedings of the 7th International Conference on Computational Science, ICCS 2007, held in Beijing, China in May 2007. The papers cover a large volume of topics in computational science and related areas, from multiscale physics to wireless networks, and from graph theory to tools for program development.

Non-equilibrium Evaporation and Condensation Processes

Yuri B. Zudin
Non equilibrium Evaporation and Condensation Processes Book PDF

Author : Yuri B. Zudin
Publisher : Springer Nature
Page : 573 pages
File Size : 49,7 Mb
Release : 2021-02-27
Category : Technology & Engineering
ISBN : 9783030675530

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Non-equilibrium Evaporation and Condensation Processes by Yuri B. Zudin Pdf

This present book is concerned with analytical approaches to statement and solution of problems of non-equilibrium evaporation and condensation. From analytical solutions, one is capable to understand and represent in a transparent form the principal laws, especially in the study of a new phenomenon or a process. This is why analytical methods are always employed on the first stage of mathematical modeling. Analytical solutions are also used as test models for validation of results numerical solutions. Non-equilibrium evaporation and condensation processes play an important role in a number of fundamental and applied problems: laser methods for processing of materials, depressurization of the protection cover of nuclear propulsion units, solar radiation on a comet surface, explosive boiling of superheated liquid, thermodynamic principles of superfluid helium. Analytical relations provide an adequate description of the essence of a physical phenomenon.

Transport Equations for Semiconductors

Ansgar Jüngel
Transport Equations for Semiconductors Book PDF

Author : Ansgar Jüngel
Publisher : Springer
Page : 315 pages
File Size : 45,8 Mb
Release : 2009-04-20
Category : Science
ISBN : 9783540895268

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Transport Equations for Semiconductors by Ansgar Jüngel Pdf

Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs. In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts.

Direct and Large-Eddy Simulation IV

Bernard Geurts,Rainer Friedrich,Olivier Métais
Direct and Large Eddy Simulation IV Book PDF

Author : Bernard Geurts,Rainer Friedrich,Olivier Métais
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 47,8 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9789401712637

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Direct and Large-Eddy Simulation IV by Bernard Geurts,Rainer Friedrich,Olivier Métais Pdf

This volume contains the proceedings of the 2001 DLES4 workshop. It describes and discusses state-of-the-art modeling and simulation approaches for complex flows. Fundamental turbulence and modeling issues but also elements from modern numerical analysis are at the heart of this field of interest.

Computational Models for Polydisperse Particulate and Multiphase Systems

Daniele L. Marchisio,Rodney O. Fox
Computational Models for Polydisperse Particulate and Multiphase Systems Book PDF

Author : Daniele L. Marchisio,Rodney O. Fox
Publisher : Cambridge University Press
Page : 547 pages
File Size : 53,9 Mb
Release : 2013-03-28
Category : Technology & Engineering
ISBN : 9781107328174

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Computational Models for Polydisperse Particulate and Multiphase Systems by Daniele L. Marchisio,Rodney O. Fox Pdf

Providing a clear description of the theory of polydisperse multiphase flows, with emphasis on the mesoscale modelling approach and its relationship with microscale and macroscale models, this all-inclusive introduction is ideal whether you are working in industry or academia. Theory is linked to practice through discussions of key real-world cases (particle/droplet/bubble coalescence, break-up, nucleation, advection and diffusion and physical- and phase-space), providing valuable experience in simulating systems that can be applied to your own applications. Practical cases of QMOM, DQMOM, CQMOM, EQMOM and ECQMOM are also discussed and compared, as are realizable finite-volume methods. This provides the tools you need to use quadrature-based moment methods, choose from the many available options, and design high-order numerical methods that guarantee realizable moment sets. In addition to the numerous practical examples, MATLAB® scripts for several algorithms are also provided, so you can apply the methods described to practical problems straight away.

A Quest Towards a Mathematical Theory of Living Systems

Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada
A Quest Towards a Mathematical Theory of Living Systems Book PDF

Author : Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada
Publisher : Birkhäuser
Page : 181 pages
File Size : 54,9 Mb
Release : 2017-07-13
Category : Mathematics
ISBN : 9783319574363

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A Quest Towards a Mathematical Theory of Living Systems by Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada Pdf

This monograph aims to lay the groundwork for the design of a unified mathematical approach to the modeling and analysis of large, complex systems composed of interacting living things. Drawing on twenty years of research in various scientific fields, it explores how mathematical kinetic theory and evolutionary game theory can be used to understand the complex interplay between mathematical sciences and the dynamics of living systems. The authors hope this will contribute to the development of new tools and strategies, if not a new mathematical theory. The first chapter discusses the main features of living systems and outlines a strategy for their modeling. The following chapters then explore some of the methods needed to potentially achieve this in practice. Chapter Two provides a brief introduction to the mathematical kinetic theory of classical particles, with special emphasis on the Boltzmann equation; the Enskog equation, mean field models, and Monte Carlo methods are also briefly covered. Chapter Three uses concepts from evolutionary game theory to derive mathematical structures that are able to capture the complexity features of interactions within living systems. The book then shifts to exploring the relevant applications of these methods that can potentially be used to derive specific, usable models. The modeling of social systems in various contexts is the subject of Chapter Five, and an overview of modeling crowd dynamics is given in Chapter Six, demonstrating how this approach can be used to model the dynamics of multicellular systems. The final chapter considers some additional applications before presenting an overview of open problems. The authors then offer their own speculations on the conceptual paths that may lead to a mathematical theory of living systems hoping to motivate future research activity in the field. A truly unique contribution to the existing literature, A Quest Toward a Mathematical Theory of Living Systems is an important book that will no doubt have a significant influence on the future directions of the field. It will be of interest to mathematical biologists, systems biologists, biophysicists, and other researchers working on understanding the complexities of living systems.

Crowd Dynamics by Kinetic Theory Modeling

Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff
Crowd Dynamics by Kinetic Theory Modeling Book PDF

Author : Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff
Publisher : Springer Nature
Page : 86 pages
File Size : 53,9 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 9783031024283

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Crowd Dynamics by Kinetic Theory Modeling by Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff Pdf

The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.

Boundary Integral Equations in Elasticity Theory

A.M. Linkov
Boundary Integral Equations in Elasticity Theory Book PDF

Author : A.M. Linkov
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 45,8 Mb
Release : 2002-04-30
Category : Science
ISBN : 1402005741

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Boundary Integral Equations in Elasticity Theory by A.M. Linkov Pdf

by the author to the English edition The book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations (CV-BIE). The book is conceived as a continuation of the classical monograph by N. I. Muskhelishvili into the computer era. Two years have passed since the Russian edition of the present book. We have seen growing interest in numerical simulation of media with internal structure, and have evidence of the potential of the new methods. The evidence was especially clear in problems relating to multiple grains, blocks, cracks, inclusions and voids. This prompted me, when preparing the English edition, to place more emphasis on such topics. The other change was inspired by Professor Graham Gladwell. It was he who urged me to abridge the chain of formulae and to increase the number of examples. Now the reader will find more examples showing the potential and advantages of the analysis. The first chapter of the book contains a simple exposition of the theory of real variable potentials, including the hypersingular potential and the hypersingular equations. This makes up for the absence of such exposition in current textbooks, and reveals important links between the real variable BIE and the complex variable counterparts. The chapter may also help readers who are learning or lecturing on the boundary element method.