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A condensed history and theoretical development of lattice-gas automata in the Boltzmann limit is presented. This is provided as background to set up the context for understanding the implementation of the lattice-gas method on two parallel…

comp-gas · Physics 2008-02-03 Jeffrey Yepez , Guy P. Seeley , Norman Margolus

In this paper I present a first attempt for a possible description of fluids dynamics by mean of a cellular automata technique. With the use of simple and elementary rules, based on random behaviour either, the model permits to obtain the…

Computational Complexity · Computer Science 2007-05-23 Gianluca Argentini

Interfaces between two fluids are ubiquitous and of special importance for industrial applications, e.g., stabilisation of emulsions. The dynamics of fluid-fluid interfaces is difficult to study because these interfaces are usually…

Soft Condensed Matter · Physics 2015-03-20 Timm Krüger , Stefan Frijters , Florian Günther , Badr Kaoui , Jens Harting

Quantum computing holds great promise to accelerate scientific computations in fluid dynamics and other classical physical systems. While various quantum algorithms have been proposed for linear flows, developing quantum algorithms for…

Fluid Dynamics · Physics 2025-02-25 Boyuan Wang , Zhaoyuan Meng , Yaomin Zhao , Yue Yang

The past two decades showed a rapid growing of physically-based modeling of fluids for computer graphics applications. In this area, a common top down approach is to model the fluid dynamics by Navier-Stokes equations and apply a numerical…

Graphics · Computer Science 2007-05-23 Gilson A. Giraldi , Adilson V. Xavier , Antonio L. Apolinario , Paulo S. Rodrigues

This paper describes a work in progress about software and hardware architecture to steer and control an ongoing fluid simulation in a context of a serious game application. We propose to use the Lattice Boltzmann Method as the simulation…

Graphics · Computer Science 2019-12-11 Mengchen Wang , Nicolas Ferey , Patrick Bourdot , Frederic Magoules

This study presents a novel quantum algorithm for lattice gas automata simulation with a single time step, demonstrating logarithmic complexity in terms of $CX$ gates. The algorithm is composed of three main steps: collision, mapping, and…

This study aims at finding a method for constructing molecular dynamics like models using the formalism of cellular automata for fast simulation of fluid dynamic systems (including compressible phenomena). In as much as the results…

comp-gas · Physics 2009-09-25 Himanshu Agrawal

Multi-component lattice Boltzmann models operating in a wide range of fluid viscosity values are developed and examined. The algorithm is constructed with the goal to enable engineering applications without sacrificing simplicity and…

This article presents a 3D geographic information systems (GIS) modeling and simulation of water flow in a landscape defined by a digital terrain model, provided by some available geolocation APIs. The proposed approach uses a cellular…

Computational Engineering, Finance, and Science · Computer Science 2020-07-21 Souhaib Douass , M'hamed Ait Kbir

A numerical model is developed for the simulation of debris flow in landslides over a complex three dimensional topography. The model is based on a lattice, in which debris can be transferred among nearest neighbors according to established…

We review the class of cellular automata known as lattice gases, and their applications to problems in physics and materials science. The presentation is self-contained, and assumes very little prior knowledge of the subject. Hydrodynamic…

comp-gas · Physics 2007-05-23 Bruce M. Boghosian

This paper presents a model for the simulation of liquid-gas-solid flows by means of the lattice Boltzmann method. The approach is built upon previous works for the simulation of liquid-solid particle suspensions on the one hand, and on a…

Computational Engineering, Finance, and Science · Computer Science 2014-01-08 Simon Bogner , Ulrich Rüde

We introduce density dependence of the cell size in cellular-automaton models for traffic flow, which allows a more precise correspondence between real-world phenomena and what observed in simulation. Also, we give an explicit calibration…

Cellular Automata and Lattice Gases · Physics 2015-05-18 Masahiro Kanai

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics in three dimensions. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be…

Statistical Mechanics · Physics 2007-05-23 C. Denniston , D. Marenduzzo , E. Orlandini , J. M. Yeomans

The cellular automata (CA) approach to traffic modeling is extended to allow for spatially homogeneous steady state solutions that cover a two dimensional region in the flow-density plane. Hence these models fulfill a basic postulate of a…

Statistical Mechanics · Physics 2009-11-07 Boris S. Kerner , Sergey L. Klenov , Dietrich E. Wolf

For accurate simulations of rarefied gas flows around moving obstacles, we propose a cut cell method on Cartesian grids: it allows exact conservation and accurate treatment of boundary conditions. Our approach is designed to treat Cartesian…

Numerical Analysis · Mathematics 2016-04-20 Guillaume Dechristé , Luc Mieussens

We review a scalable two- and three-dimensional computer code for low-temperature plasma simulations in multi-material complex geometries. Our approach is based on embedded boundary (EB) finite volume discretizations of the minimal…

Computational Physics · Physics 2019-05-01 Robert Marskar

In this paper a cellular automata model for one-lane traffic flow is presented. A new set of rules is proposed to better capture driver reactions to traffic that are intended to preserve safety on the highway. As a result, drivers behavior…

Statistical Mechanics · Physics 2009-09-29 M. E. Larraga , L. Alvarez-Icaza

The birth of the lattice Boltzmann method (LBM) fulfils a dream that simple arithmetic calculations can simulate complex fluid flows without solving complicated partial differential flow equations. Its power and potential of resolving more…

Computational Engineering, Finance, and Science · Computer Science 2019-01-10 Jian Guo Zhou
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