Estimating Functions of Distributions from A Finite Set of Samples, Part 2: Bayes Estimators for Mutual Information, Chi-Squared, Covariance and other StatisticsWe present estimators for entropy and other functions of a discrete probability distribution when the data is a finite sample drawn from that probability distribution. In particular, for the case…David R. Wolf, David H. Wolpert·Mar 8, 1994SaveLearn
Estimating Functions of Probability Distributions from a Finite Set of Samples, Part 1: Bayes Estimators and the Shannon EntropyWe present estimators for entropy and other functions of a discrete probability distribution when the data is a finite sample drawn from that probability distribution. In particular, for the case…David H. Wolpert, David R. Wolf·Mar 8, 1994SaveLearn
Lattice Boltzmann MagnetohydrodynamicsLattice gas and lattice Boltzmann methods are recently developed numerical schemes for simulating a variety of physical systems. In this paper a new lattice Boltzmann model for modeling…Daniel Martinez, Shiyi Chen, William Matthaeus·Jan 28, 1994SaveLearn
A Lattice Boltzmann Subgrid Model for High Reynolds Number FlowsA subgrid turbulence model for the lattice Boltzmann method is proposed for high Reynolds number fluid flow applications. The method, based on the standard Smagorinsky subgrid model and a single-time…S. Hou, J. Sterling, S. Chen et al.·Jan 28, 1994SaveLearn
Simulation of Cavity Flow by the Lattice Boltzmann MethodA detailed analysis is presented to demonstrate the capabilities of the lattice Boltzmann method. Thorough comparisons with other numerical solutions for the two-dimensional, driven cavity flow show…Shuling Hou, Qisu Zou, Shiyi Chen et al.·Jan 28, 1994SaveLearn
Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equationWe describe in detail a recently proposed lattice-Boltzmann model for simulating flows with multiple phases and components. In particular, the focus is on the modeling of one-component fluid systems…Xiaowen Shan, Hudong Chen·Jan 26, 1994SaveLearn
Cellular automaton model of reaction-transport processesThe transport and chemical reactions of solutes are modelled as a cellular automaton in which molecules of different species perform a random walk on a regular lattice and react according to a local…T. Karapiperis, B. Blankleider·Dec 10, 1993SaveLearn
Lattice Methods and Their Applications To Reacting SystemsThe recent development of the lattice gas automata method and its extension to the lattice Boltzmann method have provided new computational schemes for solving a variety of partial differential…S. Chen, S. P. Dawson, G. D. Doolen et al.·Dec 8, 1993SaveLearn
Particle-Mesh Methods on the Connection MachineWe describe an efficient Particle-Mesh algorithm for the Connection Machine CM-5. Our particular method parallelizes well and the computation time per time step decreases as the particles become more…Robert Ferrell, Edmund Bertschinger·Nov 2, 1993SaveLearn
Elimination of Nonlinear Deviations in Thermal Lattice BGK ModelsAbstracet: We present a new thermal lattice BGK model in D-dimensional space for the numerical calculation of fluid dynamics. This model uses a higher order expansion of equilibrium distribution in…Yu Chen, Hirotada Ohashi, Mamoru Akiyama·Oct 5, 1993SaveLearn
Instabilities and Patterns (minor technical modifications)Violation of (semi)-detailed balance conditions in lattice gas automata gives rise to unstable spatial fluctuations that lead to phase separation and pattern formation in spinodal decomposition,…M. H. Ernst, H. J. Bussemaker·Sep 1, 1993SaveLearn
Lattice Boltzmann-Langevin EquationsIntrinsic fluctuations around the solution of the lattice Boltzmann equation are described or modeled by addition of a white Gaussian noise source. For stationary states a fluctuation-dissipation…J. W. Dufty, M. H. Ernst·Sep 1, 1993SaveLearn
Hydrodynamic behaviour of Lattice Boltzmann and Lattice BGK modelsWe present a numerical analysis of the validity of classical and generalized hydrodynamics for Lattice Boltzmann Equation (LBE) and Lattice BGK methods in two and three dimensions, as a function of…O. Behrend, R. Harris, P. Warren·Aug 30, 1993SaveLearn
Abstracts on Pattern Formation and Lattice-Gas AutomataThis article contains 39 pages of abstracts of invited and poster presentations for the FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES AND NATO ADVANCED RESEARCH WORKSHOP PROGRAM ON PATTERN…Gary Doolen, Anna Lawniczak·Aug 6, 1993SaveLearn
Accuracy of Discrete-Velocity BGK Models for the Simulation of the Incompressible Navier-Stokes EquationsTwo discretizations of a 9-velocity Boltzmann equation with a BGK collision operator are studied. A Chapman-Enskog expansion of the PDE system predicts that the macroscopic behavior corresponds to…Marc B. Reider, James D. Sterling·Jul 23, 1993SaveLearn
A Vectorized Algorithm for Molecular Dynamics of Short Range Interacting ParticlesWe report on a lattice based algorithm, completely vectorized for molecular dynamics simulations. Its algorithmic complexity is of the order O(N), where N is the number of particles. The…V. Buchholtz, T. Pöschel·Jul 19, 1993SaveLearn
Numerical Solution of the Schroedinger Equation using a Quantum Lattice Boltzmann EquationThe quantum Lattice Boltzmann equation (QLBe), a new variant of the lattice Boltzmann equation, specifically designed to describe non relativistic quantum motion, is validated for the case of a…S. Succi·Jul 7, 1993SaveLearn
Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part II. Numerical ResultsA new and very general technique for simulating solid-fluid suspensions has been described in a previous paper (Part I); the most important feature of the new method is that the computational cost…Anthony J. C. Ladd·Jul 1, 1993SaveLearn
Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part I. Theoretical FoundationA new and very general technique for simulating solid-fluid suspensions is described; its most important feature is that the computational cost scales linearly with the number of particles. The…Anthony J. C. Ladd·Jul 1, 1993SaveLearn
Exact Results for the Asymmetric Simple Exclusion Process with a BlockageWe present new results for the current as a function of transmission rate in the one dimensional totally asymmetric simple exclusion process (TASEP) with a blockage that lowers the jump rate at one…Steven A. Janowsky, Joel L. Lebowitz·Jun 24, 1993SaveLearn
Initial and Boundary Conditions for the Lattice Boltzmann MethodA new approach of implementing initial and boundary conditions for the lattice Boltzmann method is presented. The new approach is based on an extended collision operator that uses the gradients of…P. A. Skordos·Jun 19, 1993SaveLearn
Stability Analysis of Lattice Boltzmann MethodsThe lattice Boltzmann equation describes the evolution of the velocity distribution function on a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the equation is…James D. Sterling, Shiyi Chen·Jun 15, 1993SaveLearn
A New Class of Cellular Automata for Reaction-Diffusion SystemsWe introduce a new class of cellular automata to model reaction-diffusion systems in a quantitatively correct way. The construction of the CA from the reaction-diffusion equation relies on a moving…Jörg R. Weimar, Jean-Pierre Boon·May 30, 1993SaveLearn
Global Bifurcations in Rayleigh-Benard Convection: Experiments, Empirical Maps and Numerical Bifurcation AnalysisWe use nonlinear signal processing techniques, based on artificial neural networks, to construct an empirical mapping from experimental Rayleigh-Benard convection data in the quasiperiodic regime.…I. G. Kevrekidis, R. Rico-Martinez, R. E. Ecke et al.·May 27, 1993SaveLearn
The non-linear response of the magnetosphere: 30 October 1978Previous efforts to find evidence of deterministic nonlinear dynamics in the global geomagnetic system have treated the geomagnetic system as autonomous. However, the geomagnetic system is strongly…C. P. Price, D. Prichard·May 26, 1993SaveLearn