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Cellular automaton fluids 1: Basic theory

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Representations of Groups
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Modern Crystallography II
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Physical Fluid Dynamics
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Two-dimensional cellular automata
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Kinetic theory of nonlinear viscous flow in two and three dimensions
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Pentaplexity A Class of Non-Periodic Tilings of the Plane
inferredcites →https://doi.org/10.1016/0196-8858(86)90028-xopenalex-snapshot
Random sequence generation by cellular automata
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Group theory for unified model building
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Baryon number generation in the early universe
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Algebraic theory of Penrose's non-periodic tilings of the plane. I
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Computational Fluid Mechanics
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Cellular automata as models of complexity
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Thermodynamics and Statistical Mechanics
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Thermodynamics and Hydrodynamics for a Modeled Fluid
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Time evolution of a two-dimensional model system. I. Invariant states and time correlation functions
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Shock Structure in a Simple Discrete Velocity Gas
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Hilbert’s problem 18: on crystallographic groups, fundamental domains, and on sphere packing
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Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions
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Elasticity and Dislocations in Pentagonal and Icosahedral Quasicrystals
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Introduction to the Theory of Kinetic Equations
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Two-Dimensional Cellular Automata
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Table of Integrals, Series, and Products
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Tilings and Patterns.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Three-Dimensional Lattice Pseudo-Potentials for Multiphase Flow Simulations at High Density Ratios
inferred← citeshttps://doi.org/10.1007/s10973-020-10329-2openalex-snapshot
Develop dissipative particle dynamics method to study the fluid flow and heat transfer of Ar and O2 flows in the micro- and nanochannels with precise atomic arrangement versus molecular dynamics approach
inferred← citeshttps://doi.org/10.1007/s11227-016-1795-7openalex-snapshot
On the iota-delta function: a link between cellular automata and partial differential equations for modeling advection–dispersion from a constant source
inferred← citeshttps://doi.org/10.1007/s11431-007-0075-4openalex-snapshot
New direction of computational fluid dynamics and its applications in industry
inferred← citeshttps://doi.org/10.1007/s11433-009-0177-zopenalex-snapshot
Simulating liquid-vapor phase separation under shear with lattice Boltzmann method
inferred← citeshttps://doi.org/10.1007/s11467-020-1014-0openalex-snapshot
Kinetic modeling of multiphase flow based on simplified Enskog equation
inferred← citeshttps://doi.org/10.1007/s12043-014-0805-7openalex-snapshot
Immiscible multicomponent lattice Boltzmann model for fluids with high relaxation time ratio
inferred← citeshttps://doi.org/10.1007/s12043-018-1621-2openalex-snapshot
Investigating pedestrian evacuation using ant algorithms
inferred← citeshttps://doi.org/10.1007/s12206-014-0316-yopenalex-snapshot
Dynamic behavior of a droplet on a moving wall
inferred← citeshttps://doi.org/10.1007/s13177-026-00721-xopenalex-snapshot
Cooperative Control for Mixed Traffic Flow at Unsignalized Intersections based on Connected Vehicles Technology
inferred← citeshttps://doi.org/10.1007/s40571-021-00397-yopenalex-snapshot
A multiphysics simulation approach to selective laser melting modelling based on cellular automata and lattice Boltzmann methods
inferred← citeshttps://doi.org/10.1007/s40819-024-01731-7openalex-snapshot
Numerical Investigation of Natural Convection in a Partially Heated Square Cavity and at Different Inclinations Filled by (Water-Al2O3) Nanofluid, Using the Thermal Lattice Boltzmann Method
inferred← citeshttps://doi.org/10.1007/s40869-020-00122-4openalex-snapshot
Probabilistic Cellular Automata for Granular Media in Video Games
inferred← citeshttps://doi.org/10.1016/0021-9991(90)90188-7openalex-snapshot
Theory of multicolor lattice gas: A cellular automaton poisson solver
inferred← citeshttps://doi.org/10.1016/0021-9991(91)90231-9openalex-snapshot
A stochastic cellular automaton model of non-linear diffusion and diffusion with reaction
inferred← citeshttps://doi.org/10.1016/0029-5493(95)01162-5openalex-snapshot
Geometrical automata for two phase flow simulation
inferred← citeshttps://doi.org/10.1016/0096-3003(90)90121-iopenalex-snapshot
An application of cellular automata to model a lipid membrane
inferred← citeshttps://doi.org/10.1016/0096-3003(91)90017-hopenalex-snapshot
The effect of the alkyl chain length of modifier molecules on membrane structure studied by the cellular-automaton method
inferred← citeshttps://doi.org/10.1016/0096-3003(94)90194-5openalex-snapshot
The cellular automata model for lipid membranes
inferred← citeshttps://doi.org/10.1016/0098-1354(94)00072-7openalex-snapshot
Lattice methods and their applications to reacting systems
inferred← citeshttps://doi.org/10.1016/0167-2789(89)90117-6openalex-snapshot
Spatiotemporal chaos in one- and two-dimensional coupled map lattices
inferred← citeshttps://doi.org/10.1016/0167-2789(90)90185-ropenalex-snapshot
Invertible cellular automata: A review
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90275-eopenalex-snapshot
Low-viscosity lattice gases
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90283-fopenalex-snapshot
Lattice gas models for nonideal gas fluids
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90284-gopenalex-snapshot
A lattice gas automata model for heterogeneous chemical reactions at mineral surfaces and in pore networks
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90292-hopenalex-snapshot
The lattice Boltzmann equation: A new tool for computational fluid-dynamics
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90295-kopenalex-snapshot
A Knudsen layer theory for lattice gases
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90298-nopenalex-snapshot
Boundary and obstacle processing in a vectorized model of lattice gas hydrodynamics
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90097-kopenalex-snapshot
Supersonic lattice gases: Restoration of Galilean invariance by nonlinear resonance effects
inferred← citeshttps://doi.org/10.1016/0167-2789(94)00207-7openalex-snapshot
Granular media model with internal structure
inferred← citeshttps://doi.org/10.1016/0370-1573(92)90090-mopenalex-snapshot
The lattice Boltzmann equation: theory and applications
inferred← citeshttps://doi.org/10.1016/0375-9601(89)90127-8openalex-snapshot
Self-diffusion in a tagged-particle lattice gas
inferred← citeshttps://doi.org/10.1016/0375-9601(89)90886-4openalex-snapshot
Sound wave propagation in FHP lattice gas automata
inferred← citeshttps://doi.org/10.1016/0378-4371(86)90227-xopenalex-snapshot
Microscopic origin of hydrodynamic equations: Derivation and consequences
inferred← citeshttps://doi.org/10.1016/0378-4371(86)90239-6openalex-snapshot
Lattice gas automata for fluid mechanics
inferred← citeshttps://doi.org/10.1016/0378-4371(89)90271-9openalex-snapshot
Some aspects of mathematical morphology for physical applications
inferred← citeshttps://doi.org/10.1016/0378-4371(93)90357-aopenalex-snapshot
Fifty years of kinetic theory
inferred← citeshttps://doi.org/10.1016/0378-4371(95)00176-8openalex-snapshot
Novel phenomena in Lorentz lattice gases
inferred← citeshttps://doi.org/10.1016/0920-5632(93)90191-8openalex-snapshot
Lattice gas hydrodynamics
inferred← citeshttps://doi.org/10.1016/b978-0-08-093250-7.00012-8openalex-snapshot
Modeling and Simulation of Membrane Structure and Transport Properties
inferred← citeshttps://doi.org/10.1016/b978-0-12-374739-6.00014-2openalex-snapshot
1.14 Systems and Complexity in Geomorphology
inferred← citeshttps://doi.org/10.1016/b978-0-12-409547-2.12253-xopenalex-snapshot
1.2 Modeling and Simulation of Membrane Structure and Transport Properties
inferred← citeshttps://doi.org/10.1016/b978-0-12-409660-8.50055-9openalex-snapshot
Few Electron Quantum Computing Structures and Lattice Gas Computation
inferred← citeshttps://doi.org/10.1016/b978-0-12-811718-7.00020-4openalex-snapshot
Multicomponent Lattice Boltzmann Models for Biological Applications
inferred← citeshttps://doi.org/10.1016/b978-0-12-811718-7.00023-xopenalex-snapshot
Lattice Boltzmann Methods for Bioengineering Applications
inferred← citeshttps://doi.org/10.1016/b978-0-12-817461-6.00014-7openalex-snapshot
Models based on cellular automata for the analysis of biomedical systems
inferred← citeshttps://doi.org/10.1016/b978-0-12-818234-5.01018-xopenalex-snapshot
Systems and Complexity in Geomorphology
inferred← citeshttps://doi.org/10.1016/b978-0-12-819583-3.00010-2openalex-snapshot
Numerical modeling of cell separation in microfluidic chips
inferred← citeshttps://doi.org/10.1016/b978-0-444-87396-5.50033-xopenalex-snapshot
SIMULATION OF MAGNETOHYDRODYNAMICS USING CELLULAR AUTOMATA: INITIAL RESULTS
inferred← citeshttps://doi.org/10.1016/b978-1-78242-283-9.00003-8openalex-snapshot
Modeling the behavior of smart composite materials
inferred← citeshttps://doi.org/10.1016/j.apm.2014.04.042openalex-snapshot
Lattice Boltzmann model for the bimolecular autocatalytic reaction–diffusion equation
inferred← citeshttps://doi.org/10.1016/j.apm.2016.10.034openalex-snapshot
A two scale cellular automaton for flow dynamics modeling (2CAFDYM)
inferred← citeshttps://doi.org/10.1016/j.apm.2017.06.011openalex-snapshot
Vulnerability for systems described by cellular automata: Application to flood phenomena
inferred← citeshttps://doi.org/10.1016/j.apm.2017.10.014openalex-snapshot
An immersed boundary-lattice Boltzmann method combined with a robust lattice spring model for solving flow–structure interaction problems
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