Monte Carlo Methods In Mechanics Of Fluid And Gas

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Monte Carlo Methods in Mechanics of Fluid and Gas

Author : Oleg Mikhaĭlovich Belot︠s︡erkovskiĭ,Y. I. Khlopkov
Publisher : World Scientific
Page : 281 pages
File Size : 41,7 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814282369

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Monte Carlo Methods in Mechanics of Fluid and Gas by Oleg Mikhaĭlovich Belot︠s︡erkovskiĭ,Y. I. Khlopkov Pdf

This book is devoted to analysis of Monte Carlo methods developed in rarefied gas dynamics. Presented is the short history of the development of such methods, described are their main properties, their advantages and deficiencies. It is shown that the contemporary stage in the progress of computational methods cannot be regarded without a complex approach to the preparation of algorithms taking into account all the peculiarities of the problem under consideration, that is, of the physical nature of a process, the mathematical model and the theoretical aspects of computational mathematics and stochastic processes. Thoroughly investigated is the possibility of application of Monte Carlo methods in some kindred areas of science which are non-traditional for the use of statistical modeling (continuous media, turbulence). Considered are the possible directions of development of statistical modeling.

Vorticity, Statistical Mechanics, and Monte Carlo Simulation

Author : Chjan Lim,Joseph Nebus
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 55,5 Mb
Release : 2007-07-28
Category : Mathematics
ISBN : 9780387494319

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Vorticity, Statistical Mechanics, and Monte Carlo Simulation by Chjan Lim,Joseph Nebus Pdf

This book is drawn from across many active fields of mathematics and physics. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them.

Applications of Molecular Simulation in the Oil and Gas Industry

Author : Philippe Ungerer,Bernard Tavitian,Anne Boutin
Publisher : Editions TECHNIP
Page : 318 pages
File Size : 49,9 Mb
Release : 2005
Category : Business & Economics
ISBN : 2710808587

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Applications of Molecular Simulation in the Oil and Gas Industry by Philippe Ungerer,Bernard Tavitian,Anne Boutin Pdf

Molecular simulation is an emerging technology for determining the properties of many systems that are of interest to the oil and gas industry, and more generally to the chemical industry. Based on a universally accepted theoretical background, molecular simulation accounts for the precise structure of molecules in evaluating their interactions. Taking advantage of the availability of powerful computers at moderate cost, molecular simulation is now providing reliable predictions in many cases where classical methods (such as equations of state or group contribution methods) have limited prediction capabilities. This is particularly useful for designing processes involving toxic components, extreme pressure conditions, or adsorption selectivity in microporous adsorbents. Molecular simulation moreover provides a detailed understanding of system behaviour. As illustrated by their award from the American Institute of Chemical Engineers for the best overall performance at the Fluid Simulation Challenge 2004, the authors are recognized experts in Monte Carlo simulation techniques, which they use to address equilibrium properties. This book presents these techniques in sufficient detail for readers to understand how simulation works, and describes many applications for industrially relevant problems. The book is primarily dedicated to chemical engineers who are not yet conversant with molecular simulation techniques. In addition, specialists in molecular simulation will be interested in the large scope of applications presented (including fluid properties, fluid phase equilibria, adsorption in zeolites, etc.).Contents: 1. Introduction. 2. Basics of Molecular Simulation. 3. Fluid Phase Equilibria and Fluid Properties. 4. Adsorption. 5. Conclusion and Perspectives. Appendix

Monte Carlo Methods in Statistical Physics

Author : Kurt Binder
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642828034

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Monte Carlo Methods in Statistical Physics by Kurt Binder Pdf

In the seven years since this volume first appeared. there has been an enormous expansion of the range of problems to which Monte Carlo computer simulation methods have been applied. This fact has already led to the addition of a companion volume ("Applications of the Monte Carlo Method in Statistical Physics", Topics in Current Physics. Vol . 36), edited in 1984, to this book. But the field continues to develop further; rapid progress is being made with respect to the implementation of Monte Carlo algorithms, the construction of special-purpose computers dedicated to exe cute Monte Carlo programs, and new methods to analyze the "data" generated by these programs. Brief descriptions of these and other developments, together with numerous addi tional references, are included in a new chapter , "Recent Trends in Monte Carlo Simulations" , which has been written for this second edition. Typographical correc tions have been made and fuller references given where appropriate, but otherwise the layout and contents of the other chapters are left unchanged. Thus this book, together with its companion volume mentioned above, gives a fairly complete and up to-date review of the field. It is hoped that the reduced price of this paperback edition will make it accessible to a wide range of scientists and students in the fields to which it is relevant: theoretical phYSics and physical chemistry , con densed-matter physics and materials science, computational physics and applied mathematics, etc.

Applications of the Monte Carlo Method in Statistical Physics

Author : Kurt Binder
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 43,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783642517037

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Applications of the Monte Carlo Method in Statistical Physics by Kurt Binder Pdf

Deals with the computer simulation of complex physical sys- tems encounteredin condensed-matter physics and statistical mechanics as well as in related fields such as metallurgy, polymer research, lattice gauge theory and quantummechanics.

Simulation of Liquids and Solids

Author : Giovanni Ciccotti,Daan Frenkel,Ian Ranald McDonald
Publisher : North Holland
Page : 504 pages
File Size : 46,9 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015016072129

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Simulation of Liquids and Solids by Giovanni Ciccotti,Daan Frenkel,Ian Ranald McDonald Pdf

Applied Mechanics Reviews

Author : Anonim
Publisher : Unknown
Page : 742 pages
File Size : 46,7 Mb
Release : 1967
Category : Mechanics, Applied
ISBN : UCAL:C2682426

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Applied Mechanics Reviews by Anonim Pdf

Computational Fluid Mechanics

Author : Alexandre Joel Chorin
Publisher : Academic Press
Page : 240 pages
File Size : 47,8 Mb
Release : 2014-06-28
Category : Technology & Engineering
ISBN : 9781483271552

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Computational Fluid Mechanics by Alexandre Joel Chorin Pdf

Computational Fluid Mechanics: Selected Papers compiles papers on computational fluid dynamics written between 1967 and 1982. This book emphasizes the numerical solution of the equations of fluid mechanics in circumstances where the viscosity is small. The vortex and projection methods, numerical solution of problems in kinetic theory, combustion theory, and gas dynamics are also discussed. This publication elaborates that turbulence in fluids is dominated by the mechanics of vorticity, and many of the methods are based on vortex representations of the flow. The convergence of vortex calculations in three space dimensions and motion of vortex filaments are likewise deliberated. This compilation is a good source for physicists and students researching on computational fluid mechanics.

A Guide to Monte Carlo Simulations in Statistical Physics

Author : David P. Landau,Kurt Binder
Publisher : Cambridge University Press
Page : 539 pages
File Size : 47,8 Mb
Release : 2015
Category : Computers
ISBN : 9781107074026

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A Guide to Monte Carlo Simulations in Statistical Physics by David P. Landau,Kurt Binder Pdf

This revised fourth edition provides an introduction to computer simulations in physics, cutting-edge algorithms, essential techniques, and petascale computing.

Encyclopedia of Microfluidics and Nanofluidics

Author : Dongqing Li
Publisher : Springer Science & Business Media
Page : 2242 pages
File Size : 42,9 Mb
Release : 2008-08-06
Category : Technology & Engineering
ISBN : 9780387324685

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Encyclopedia of Microfluidics and Nanofluidics by Dongqing Li Pdf

Covering all aspects of transport phenomena on the nano- and micro-scale, this encyclopedia features over 750 entries in three alphabetically-arranged volumes including the most up-to-date research, insights, and applied techniques across all areas. Coverage includes electrical double-layers, optofluidics, DNC lab-on-a-chip, nanosensors, and more.

Nonequilibrium Gas Dynamics and Molecular Simulation

Author : Iain D. Boyd,Thomas E. Schwartzentruber
Publisher : Cambridge University Press
Page : 383 pages
File Size : 48,7 Mb
Release : 2017-03-23
Category : Technology & Engineering
ISBN : 9781107073449

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Nonequilibrium Gas Dynamics and Molecular Simulation by Iain D. Boyd,Thomas E. Schwartzentruber Pdf

7.1 Introduction -- 7.2 Rotational Energy Exchange Models -- 7.2.1 Constant Collision Number -- 7.2.2 The Parker Model -- 7.2.3 Variable Probability Exchange Model of Boyd -- 7.2.4 Nonequilibrium Direction Dependent Model -- 7.2.5 Model Results -- 7.3 Vibrational Energy Exchange Models -- 7.3.1 Constant Collision Number -- 7.3.2 The Millikan-White Model -- 7.3.3 Quantized Treatment for Vibration -- 7.3.4 Model Results -- 7.4 Dissociation Chemical Reactions -- 7.4.1 Total Collision Energy Model -- 7.4.2 Redistribution of Energy Following a Dissociation Reaction -- 7.4.3 Vibrationally Favored Dissociation Model -- 7.5 General Chemical Reactions -- 7.5.1 Reaction Rates and Equilibrium Constant -- 7.5.2 Backward Reaction Rates in DSMC -- 7.5.3 Three-Body Recombination Reactions -- 7.5.4 Post-Reaction Energy Redistribution and General Implementation -- 7.5.5 DSMC Solutions for Reacting Flows -- 7.6 Summary -- Appendix A: Generating Particle Properties -- Appendix B: Collisional Quantities -- Appendix C: Determining Post-Collision Velocities -- Appendix D: Macroscopic Properties -- Appendix E: Common Integrals -- References -- Index

Recent Advances in Partial Differential Equations, Venice 1996

Author : Peter D. Lax,L. Nirenberg,Renato Spigler,Stephanos Venakides
Publisher : American Mathematical Soc.
Page : 412 pages
File Size : 51,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 0821867598

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Recent Advances in Partial Differential Equations, Venice 1996 by Peter D. Lax,L. Nirenberg,Renato Spigler,Stephanos Venakides Pdf

Lax and Nirenberg are two of the most distinguished mathematicians of our times. Their work on partial differential equations (PDEs) over the last half-century has dramatically advanced the subject and has profoundly influenced the course of mathematics. A huge part of the development in PDEs during this period has either been through their work, motivated by it or achieved by their postdocs and students. A large number of mathematicians honored these two exceptional scientists in a week-long conference in Venice (June 1996) on the occasion of their 70th birthdays. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up solutions, conservation laws, Hamiltonian systems and others. The conference served as a forum for the dissemination of new scientific ideas and discoveries and enhanced scientific communication by bringing together such a large number of scientists working in related fields. THe event allowed the international mathematics community to honor two of its outstanding members.

Lecture Notes on the Mathematical Theory of the Boltzmann Equation

Author : N. Bellomo,L. Arlotti
Publisher : World Scientific
Page : 276 pages
File Size : 43,7 Mb
Release : 1995
Category : Science
ISBN : 9810221665

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Lecture Notes on the Mathematical Theory of the Boltzmann Equation by N. Bellomo,L. Arlotti Pdf

This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.

Microfluidics and Nanofluidics Handbook, Two Volume Set

Author : Sushanta K. Mitra,Suman Chakraborty
Publisher : CRC Press
Page : 1766 pages
File Size : 42,8 Mb
Release : 2011-09-20
Category : Science
ISBN : 9781466515741

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Microfluidics and Nanofluidics Handbook, Two Volume Set by Sushanta K. Mitra,Suman Chakraborty Pdf

The Microfluidics and Nanofluidics Handbook: Two-Volume Set comprehensively captures the cross-disciplinary breadth of micro- and nanofluidics, which encompass the biological sciences, chemistry, physics and engineering applications. To fill the knowledge gap between engineering and the basic sciences, the editors pulled together key individuals, w