Download or read book Long range Lattice gas Simulation on the CAM 8 Prototype written by Jeffrey Yepez and published by . This book was released on 1995 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Long Range Lattice Gas Algorithm written by and published by . This book was released on 1994 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented is a novel algorithmic method for simulating complex fluids, for instance multiphase single component fluids and molecular systems. The algorithm falls under a class of single-instruction multiple-data computation known as lattice-gases, and therefore inherits exact computability on a discrete spacetime lattice. Our contribution is the use of non-local interactions that allow us to model a richer set of physical dynamics, such as crystallization processes, yet to do so in a way that remains locally computed. A simple computational scheme is employed that allows all the dynamics to be computed in parallel with two additional bits of local site data, for outgoing and incoming messengers, regardless of the number of long-range neighbors. The computational scheme is an efficient decomposition of a lattice-gas with many neighbors. It is conceptually similar to the idea of virtual intermediate particle momentum exchanges that is well known in particle physics. All 2-body interactions along a particular direction define a spatial partition that is updated in parallel. Random permutation through the partitions is sufficient to recover the necessary isotropy as long as enough momentum exchange directions are used. The algorithm is implemented on the CAM-8 prototype.
Download or read book Lattice Gas Methods written by Gary D. Doolen and published by MIT Press. This book was released on 1991 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids.Lattice gas methods are new parallel, high-resolution, high-efficiency techniques for solving partial differential equations. This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. It introduces the lattice Boltzmann equation, a new direction in lattice gas research that considerably reduces fluctuations.The twenty-seven contributions explore the many available software options exploiting the fact that lattice gas methods are completely parallel, which produces significant gains in speed. Following an overview of work done in the past five years and a discussion of frontiers, the chapters describe viscosity modeling and hydrodynamic mode analyses, multiphase flows and porous media, reactions and diffusion, basic relations and long-time correlations, the lattice Boltzmann equation, computer hardware, and lattice gas applications.Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.
Download or read book Pattern Formation and Lattice gas Automata written by Anna T. Lawniczak and published by American Mathematical Soc.. This book was released on 1996 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications. It features up-to-date articles, takes an interdisciplinary approach including mathematics, physical chemistry, and geophysics.
Download or read book Lattice Gas Dynamics written by Jeffrey Yepez and published by . This book was released on 1995 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and computation of lattice gas dynamics for viscous fluid hydrodynamics is presented. Theoretical analysis of these exactly conserved, discrete models is done using the Boltzmann approximation, a mean-field theoretical treatment. Theoretical results are then compared to numerical data arrived by exactly computed simulations of simple lattice-gas systems. The numerical simulations presented were carried out on a prototype lattice-gas machine, the CAM-8, which is a virtual finegrained paralled mesh architecture suitable for discrete modeling in arbitrary dimensions. Single speed and multi-speed lattice gases are treated. The new contribution is an integer lattice gas with many particles per momentum state. Comparisons are made between the mean-field theory and numerical experiments for shear viscosity transport coefficient.
Download or read book Environmental Research Papers written by and published by . This book was released on 1995 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lattice Gas Methods For Partial Differential Equations written by Gary Doolen and published by CRC Press. This book was released on 2019-03-01 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the idea of using discrete methods for modeling partial differential equations occurred very early, the actual statement that cellular automata techniques can approximate the solutions of hydrodynamic partial differential equations was first discovered by Frisch, Hasslacher, and Pomeau. Their description of the derivation, which assumes the validity of the Boltzmann equation, appeared in the Physical Review Letters in April 1986. It is the intent of this book to provide some overview of the directions that lattice gas research has taken from 1986 to early 1989.
Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Download or read book The Classical Lattice Gas Method written by and published by . This book was released on 1999 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented is a review of the classical lattice-gas method that deals with an artificial many-body system of particles that has severely discretized microscopic dynamics and that behaves like a viscous Navier Stokes and in the long wavelength hydrodynamic limit. We explain and analytically quantify how the artificial lattice gas system behaves and we derive a set of criterion that specifies under what conditions it can serve as an appropriate model of a viscous and compressible fluid. Then, we show how the lattice gas algorithm works using two test models. Finally, we compare the numerical predictions obtained from a variety of different simulations of these two test models to the respective analytical predictions we previously obtained for these models. The resulting numerical and analytical predictions are in good agreement in all cases, but this is only after many failed attempts that were incrementally corrected over time by removing flaws from the derivation of the analytical predictions as well as removing numerical bugs in the implementation of the algorithm and data collection methodology. Therefore, the reason for the consistently good agreement between numerical and analytical predictions is that the derived criteria set has been so sharply delineated that we now know with great accuracy how to initialize the numerical model within a narrow parameter regime where the lattice-gas system is operative. If the initial state of the lattice-gas system is outside this narrow operating regime, the numerical predictions are not at all in agreement with the analytical predictions. We have not attempted to catalog any of the non-hydrodynamical behaviors of a classical lattice-gas system. Instead, we have chosen to pursue a narrower goal, which as it turns out is computationally more difficult to pursue, where we run the algorithm only in a parameter regime where it behaves like a fluid.
Download or read book Mathematical Statistical Mechanics written by Colin J. Thompson and published by Princeton University Press. This book was released on 2015-03-08 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: While most introductions to statistical mechanics are either too mathematical or too physical, Colin Thompson's book combines mathematical rigor with familiar physical materials. Following introductory chapters on kinetic theory, thermodynamics, the Gibbs ensembles, and the thermodynamic limit, later chapters discuss the classical theories of phase transitions, the Ising model, algebraic methods and combinatorial methods for solving the two-dimensional model in zero field, and some applications of the Ising model to biology. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Download or read book An Introduction to Computational Physics written by Tao Pang and published by Cambridge University Press. This book was released on 2006-01-19 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook provides an introduction to the basic methods of computational physics.
Download or read book Stochastic Cellular Systems written by R. L. Dobrushin and published by Manchester University Press. This book was released on 1990 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Physics I written by Morikazu Toda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ideas and methods.
Download or read book Advances in Quantum Chemistry written by and published by Academic Press. This book was released on 1989-10-04 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry
Download or read book Equations of State for Fluids and Fluid Mixtures written by J.V. Sengers and published by Elsevier. This book was released on 2000-10-30 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been prepared under the auspices of Commission I.2 on Thermodynamics of the International Union of Pure and Applied Chemistry (IUPAC). The authors of the 18 chapters are all recognized experts in the field. The book gives an up-to-date presentation of equations of state for fluids and fluid mixtures. All principal approaches for developing equations of state are covered. The theoretical basis and practical use of each type of equation is discussed and the strength and weaknesses of each is addressed. Topics addressed include the virial equation of state, cubic equations and generalized van der Waals equations, perturbation theory, integral equations, corresponding stated and mixing rules. Special attention is also devoted to associating fluids, polydisperse fluids, polymer systems, self-assembled systems, ionic fluids and fluids near critical points.
Download or read book Disorder and Order in Strongly Nonstoichiometric Compounds written by A.I. Gusev and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the influence of stoiciometry and order/disorder on materials properties. It summarizes the knowledge available in a comprehensive way.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
