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Cellular Automata and Lattice Gases papers — page 6

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Convergence of Convective-Diffusive Lattice Boltzmann Methods
Lattice Boltzmann methods are numerical schemes derived as a kinetic approximation of an underlying lattice gas. A numerical convergence theory for nonlinear convective-diffusive lattice Boltzmann…
Bracy H. Elton, Garry H. Rodrigue, C. David LevermoreMay 25, 1993
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Identification of Continuous-Time Dynamical Systems: Neural Network Based Algorithms and Parallel Implementation
Time-delay mappings constructed using neural networks have proven successful in performing nonlinear system identification; however, because of their discrete nature, their use in bifurcation…
Robert M. Farber, Alan S. Lapedes, Ramiro Rico-Martínez et al.May 13, 1993
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Don't bleach chaotic data
A common first step in time series signal analysis involves digitally filtering the data to remove linear correlations. The residual data is spectrally white (it is ``bleached''), but in principle…
James Theiler, Stephen EubankApr 28, 1993
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Lattice Boltzmann Thermohydrodynamics
We introduce a lattice Boltzmann computational scheme capable of modeling thermohydrodynamic flows of monatomic gases. The parallel nature of this approach provides a numerically efficient…
F. J. Alexander, S. Chen, J. D. SterlingApr 28, 1993
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Hydrodynamic Spinodal Decomposition: Growth Kinetics and Scaling Functions
We examine the effects of hydrodynamics on the late stage kinetics in spinodal decomposition. From computer simulations of a lattice Boltzmann scheme we observe, for critical quenches, that single…
F. J. Alexander, S. Chen, D. W. GrunauApr 28, 1993
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Wavelets and Fast Numerical Algorithms
Wavelet based algorithms in numerical analysis are similar to other transform methods in that vectors and operators are expanded into a basis and the computations take place in this new system of…
G. BeylkinApr 22, 1993
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The Lattice Boltzmann Equation Method for the Simulation of Compressible Fluid Flow
We systematically derived hydrodynamic equations and transport coefficients for a class of multi-speed lattice Boltzmann models in D dimensions, using the multi-scale technique. The constitutive…
Yu Chen, Hirotada Ohashi, Mamoru AkiyamaApr 22, 1993
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Lattice Boltzmann Equation for Quantum Mechanics
It is shown that the Lattice Boltzmann equation for hydrodynamics can be extended in such a way as to describe non-relativistic quantum mechanics.
S. Succi, R. BenziApr 21, 1993
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Domain Growth, Wetting and Scaling in Porous Media
The lattice Boltzmann (LB) method is used to study the kinetics of domain growth of a binary fluid in a number of geometries modeling porous media. Unlike the traditional methods which solve the…
D. W. Grunau, T. Lookman, S. Y. Chen et al.Apr 21, 1993
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Comparison of Spectral Method and Lattice Boltzmann Simulations of Two-Dimensional Hydrodynamics
We present numerical solutions of the two-dimensional Navier-Stokes equations by two methods; spectral and the novel Lattice Boltzmann Equation (LBE) scheme. Very good agreement is found for global…
D. O. Martinez, W. H. Matthaeus, S. Chen et al.Mar 11, 1993
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Message-Passing Multi-Cell Molecular Dynamics on the Connection Machine 5
We present a new scalable algorithm for short-range molecular dynamics simulations on distributed memory MIMD multicomputer based on a message-passing multi-cell approach. We have implemented the…
D. M. Beazley, P. S. LomdahlMar 9, 1993
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A Lattice Boltzmann Model for Multi-phase Fluid Flows
We develop a lattice Boltzmann equation method for simulating multi-phase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen et al for…
Daryl Grunau, Shiyi Chen, Kenneth EggerMar 4, 1993
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Detecting Nonlinearity in Data with Long Coherence Times
We consider the limitations of two techniques for detecting nonlinearity in time series. The first technique compares the original time series to an ensemble of surrogate time series that are…
James Theiler, Paul S. Linsay, David M. RubinFeb 26, 1993
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Statistical error in a chord estimator of correlation dimension: the ``rule of five''
The statistical precision of a chord method for estimating fractal dimension from a correlation integral is derived. The optimal chord length is determined, and a comparison is made to other…
James Theiler, Turab LookmanFeb 26, 1993
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Some comments on the correlation dimension of 1/fα noise
It has recently been observed that a stochastic (infinite degree of freedom) time series with a 1/fα power spectrum can exhibit a finite correlation dimension, even for arbitrarily large data…
James TheilerFeb 10, 1993
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