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Microscopic Simulations of Complex Hydrodynamic Phenomena : NATO Science Series B - Michel Mareschal

Microscopic Simulations of Complex Hydrodynamic Phenomena

NATO Science Series B

By: Michel Mareschal (Editor), Brad Lee Holian (Editor)

Hardcover Published: 31st August 1992
ISBN: 9780306442261
Number Of Pages: 438

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This volume contains the proceedings of a NATO Advanced Study Institute which was held in Alghero, Sardinia, in July 1991. The development of computers in the recent years has lead to the emergence of unconventional ideas aiming at solving old problems. Among these, the possibility of computing directly fluid flows from the trajectories of constituent particles has been much exploited in the last few years: lattice gases cellular automata and more generally Molecular Dynamics have been used to reproduce and study complex flows. Whether or not these methods may someday compete with more traditional approaches is a question which cannot be answered at the present time: it will depend on the new computer architectures as well as on the possibility to develop very simple models to reproduce the most complex phenomena taking place in the approach of fully developed turbulence or plastic flows. In any event, these molecular methods are already used, and sometimes in an applied engineering context, to study strong shock waves, chemistry induced shocks or motion of dislocations in plastic flows, that is in domains where a fully continuum description appears insufficient. The main topic of our Institute was the molecular simulations of fluid flows. The project to hold this Institute was made three years ago, in the summer of 1989 during a NATO workshop in Brussels on the same subject.

Introduction
From Fluid Particles to Physical Particles: Computing Hydrodynamicsp. 1
From Global, a la Kolmogorov 1941, Scaling to Local Multifractal Scaling in Fully Developed Turbulencep. 13
Non-Equilibrium Molecular Dynamics
Theoretical Foundation and Rheological Application of Non-equilibrium Molecular Dynamicsp. 25
Nonequilibrium Molecular Dynamics at Livermore and Los Alamosp. 47
Shock Waves and Spallation by Molecular Dynamicsp. 75
Molecular Dynamic Study of Density Fluctuation in a Non-Equilibrium Systemp. 87
Temporal Periodicity in Microscopic Simulation of Rayleigh-Benard Convectionp. 101
NEMD Simulations and the Rheology of Liquid Hydrocarbonsp. 105
Molecular Dynamics Simulations of Shock-Induced Chemistry: Application to Chemically Sustained Shock Wavesp. 111
Lattice Gases
Lattice Boltzmann Simulation of High Reynolds Number Fluid Flow in Two Dimensionsp. 125
New Types of Diffusion in Lattice Gas Cellular Automatap. 137
Statistical Mechanics and Kinetic Theory of Lattice Gas Cellular Automatap. 153
A Mean Field Theory for Biased Lattice Gas Modelsp. 169
Fluid Dynamical Limits of Discrete Kinetic Theoriesp. 173
The Lattice Boltzmann Equation: Theory and Applicationp. 187
Study of Diffusion in Lattice-Gas Fluids and Colloidsp. 205
Simple Models of Complex Fluidsp. 221
Other Simulation Methods
A Contemporary Implementation of the Direct Simulation Monte Carlo Methodp. 239
Brownian and Stokesian Dynamicsp. 255
Round Table Discussions (I): Issues in Hydrodynamic Simulationsp. 271
Chaos, Turbulence and Irreversibility
Lyapunov Exponents and Bulk Transport Coefficientsp. 285
Dynamical Chaos Underlying Diffusion in the Lorentz Gasp. 301
Generalized Gaussian Dynamics, Phase-Space Reduction and Irreversibility: A Commentp. 323
Round Table Discussions (II): Irreversibility and Lyapunov Spectrap. 327
Related Topics
Statistical Fracture Mechanicsp. 345
Computational Statistical Mechanics of Tethered Membranesp. 361
Granular Flow at Low Shear Ratesp. 403
Three-Dimensional Simulations of Plastic Flow in Crystalsp. 413
Recollections
Concluding Remarks: The Long-Time Tails Storyp. 425
Participantsp. 431
Indexp. 437
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306442261
ISBN-10: 0306442264
Series: NATO Science Series B
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 438
Published: 31st August 1992
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 25.4 x 17.8  x 3.18
Weight (kg): 2.38