scholarly journals Modeling Dynamical Geometry with Lattice-Gas Automata

1998 ◽  
Vol 09 (08) ◽  
pp. 1597-1605 ◽  
Author(s):  
Brosl Hasslacher ◽  
David A. Meyer
Keyword(s):  
Fluid Flow ◽  
Self Assembly ◽  
Lattice Gas ◽  
Particle Flow ◽  
Nonequilibrium Dynamics ◽  
Flexible Membrane ◽  
One Dimensional ◽  
Lattice Gas Automata ◽  
Flow Problems ◽  
Lattice Gas Models

Conventional lattice-gas automata consist of particles moving discretely on a fixed lattice. While such models have been quite successful for a variety of fluid flow problems, there are other systems, e.g., flow in a flexible membrane or chemical self-assembly, in which the geometry is dynamical and coupled to the particle flow. Systems of this type seem to call for lattice gas models with dynamical geometry. We construct such a model on one-dimensional (periodic) lattices and describe some simulations illustrating its nonequilibrium dynamics.

scholarly journals Fluid Flow Simulations Based on an Equation-Solving Solution Gradient Strategy

2013 ◽  
Vol 2013 ◽  
pp. 1-19 ◽  
Author(s):  
Ho-Shuenn Huang ◽  
Yao-Hsin Hwang
Keyword(s):  
Fluid Flow ◽  
Control Volume ◽  
Test Problems ◽  
One Dimensional ◽  
Flow Simulations ◽  
Flow Problems ◽  
Equation Solving ◽  
Resolution Scheme ◽  
The Common ◽  
Solution Gradient

A compact and accurate discretization for fluid flow simulations is introduced in this paper. Contrary to the common wisdom in a convectional scheme, the solution gradient required for a high-resolution scheme is provided by solving its corresponding difference equation rather than by interpolation from solution values at neighboring computational nodes. To achieve this goal, a supplementary equation and its associated control volume are proposed to retain a compact and accurate discretization. Scheme essentials are exposed by numerical analyses on simple one-dimensional modeled problems to reveal its formal accuracy. Several test problems are solved to illustrate the feasibility of present formulation. From the obtained numerical results, it is evident that the proposed scheme will be a useful tool to simulate fluid flow problems in arbitrary domains.

Simulation of free boundaries in flow systems by lattice-gas models

1988 ◽  
Vol 188 ◽  
pp. 437-464 ◽  
Author(s):  
P. Clavin ◽  
P. Lallemand ◽  
Y. Pomeau ◽  
G. Searby
Keyword(s):  
Lattice Gas ◽  
Molecular Diffusion ◽  
Kinetic Scheme ◽  
Viscous Flows ◽  
Spontaneous Generation ◽  
Free Boundaries ◽  
Flow Problems ◽  
Different Types ◽  
Lattice Gas Models ◽  
Rayleigh Taylor Instability

It has been recently proved that lattice-gas models with Boolean particles can provide a very powerful method to study viscous flows at moderate Reynolds and small Mach numbers (d'Humières, Pomeau & Lallemand 1985; Frisch, Hasslacher & Pomeau 1986; d'Humières & Lallemand 1986). We present here algorithms for an extension of these models to provide a simple and efficient way to simulate a large variety of flow problems with free boundaries. This is done by introducing two different types of particles that can react following a specific kinetic scheme based on autocatalytic reactions. In order to check the powerful character and the reliability of the method we also present preliminary results of two-dimensional computer simulations concerning problems ranging from the competition between molecular diffusion and turbulent mixing in flows presenting a Kelvin-Helmholtz instability to the spontaneous generation of turbulence in premixed flame fronts subject to the Darrieus-Landau instability. The dynamics of an interface developing a Rayleigh-Taylor instability is also considered as well as some typical problems of phase transition such as spinodal decomposition and the nucleation process.

LATTICE GAS WAVE PROPAGATION MODELS INCLUDING DISSIPATION

1995 ◽  
Vol 03 (01) ◽  
pp. 69-93 ◽  
Author(s):  
YASUSHI SUDO ◽  
VICTOR W. SPARROW
Keyword(s):  
Wave Propagation ◽  
Random Walk ◽  
Diffusion Equation ◽  
Lattice Gas ◽  
Sound Propagation ◽  
Two Dimensional ◽  
Propagation Models ◽  
One Dimensional ◽  
Lattice Gas Models ◽  
Wave Models

New lattice gas models for one-dimensional (1D) and two-dimensional (2D) sound propagation have been recently proposed by the authors. These models were dissipationless and deterministic. In this paper, it will be shown how dissipation effects can be included into these lattice gas wave models. To simulate these dissipation effects, the lattice gas particles are assumed to take a random walk. The resulting models combine the authors' lattice gas wave models with published lattice gas models for the diffusion equation. The formulations are stable and consistent.

scholarly journals Simulation Study of Fluid Flow and Estimation of a Heterogeneous Porous Media Properties Using Lattice Gas Automata Method

2020 ◽  
Vol 1 (2) ◽  
pp. 71
Author(s):  
Dedy Kristanto ◽  
Windyanesha Paradhita
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Laboratory Experiment ◽  
Reservoir Simulation ◽  
Lattice Gas ◽  
Heterogeneous Porous Media ◽  
Displacement Efficiency ◽  
Test Volume ◽  
Lattice Gas Automata ◽  
Geological Models

Most models used in reservoir simulation studies are on the scale of meters to hundreds of meters. However, increasing resolution in geological measurements results in finer geological models. Simulations study of particle movements provide an alternative to conventional reservoir simulation by allowing the study of microscopic and/or macroscopic fluid flow, which is close to the scale of geological models. In this paper, the FHP-II (Frisch, Hasslacher and Pomeau - FHP) model of lattice gas automata were developed to study fluid flow in order to estimate the properties of heterogeneous porous media. Heterogeneity simulated by placing solid obstacles randomly in a two-dimensional test volume. Properties of the heterogeneous porous media were estimated by the shape, size, number of the obstacles and by the distribution of the obstacles within the volume. Results of the effects of grain sizes and shapes, and its distribution in the porous media on the tortuosity, effective porosity, permeability and displacement efficiency were obtained. An investigation of fluid flow and comparison with laboratory experiment were also presented. Reasonably good agreement between the lattice gas automata simulation and laboratory experiment results were achieved.

scholarly journals On Quantum Extensions of Hydrodynamic Lattice Gas Automata

2019 ◽  
Vol 4 (2) ◽  
pp. 48 ◽  
Author(s):  
Peter Love
Keyword(s):  
Lattice Gas ◽  
The State ◽  
Conserved Quantities ◽  
Lattice Gas Automata ◽  
Classical Simulation ◽  
Lattice Gas Models ◽  
Classical Models ◽  
Classical Hydrodynamic

We consider quantum extensions of classical hydrodynamic lattice gas models. We find that the existence of local conserved quantities strongly constrains such extensions. We find the only extensions that retain local conserved quantities correspond to changing the local encoding of a subset of the bits. These models maintain separability of the state throughout the evolution and are thus efficiently classically simulable. We then consider evolution of these models in the case where any of the bits can be encoded and measured in one of two local bases. In the case that either encoding is allowed, the models are efficiently classically simulable. In the case that both encoding and measurement is allowed in either basis, we argue that efficient classical simulation is unlikely. In particular, for classical models that are computationally universal such quantum extensions can encode Simon’s algorithm, thus presenting an obstacle to efficient classical simulation.

scholarly journals Microcanonical Monte Carlo study of one dimensional self-gravitating lattice gas models

2017 ◽  
Vol 90 (3) ◽  
Author(s):  
Joao Marcos Maciel ◽  
Marco Antônio Amato ◽  
Tarcisio Marciano da Rocha Filho ◽  
Annibal D. Figueiredo
Keyword(s):  
Monte Carlo ◽  
Lattice Gas ◽  
Monte Carlo Study ◽  
One Dimensional ◽  
Lattice Gas Models
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