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What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON explanation.
Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license.
Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise.
As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of different states. In lattice gas, the various states are particles with certain velocities. Evolution of the simulation is done in discrete time steps. After each time step, the state at a given site can be determined by the state of the site itself and neighboring sites, before the time step.
The state at each site is purely boolean. At a given site, there either is or is not a particle moving in each direction.
At each time step, two processes are carried out, propagation and collision.
In the propagation step, each particle will move to a neighboring site determined by the velocity that particle had. Barring any collisions, a particle with an upwards velocity will after the time step maintain that velocity, but be moved to the neighboring site above the original site. The so-called exclusion principle prevents two or more particles from travelling on the same link in the same direction.
In the collision step, collision rules are used to determine what happens if multiple particles reach the same site. These collision rules are required to maintain mass conservation, and conserve the total momentum; the block cellular automaton model can be used to achieve these conservation laws. Note that the exclusion principle does not prevent two particles from travelling on the same link in opposite directions, when this happens, the two particles pass each other without colliding.
The hexagonal grid model was first introduced in 1986, in a paper by Uriel Frisch, Brosl Hasslacher and Yves Pomeau, and this has become known as the FHP model after its inventors. The model has six or seven velocities, depending on which variation is used. In any case, six of the velocities represent movement to each of the neighboring sites. In some models (called FHP-II and FHP-III), a seventh velocity representing particles "at rest" is introduced. The "at rest" particles do not propagate to neighboring sites, but they are capable of colliding with other particles. The FHP-III model allows all possible collisions that conserve density and momentum. Increasing the number of collisions raises the Reynolds number, so the FHP-II and FHP-III models can simulate less viscous flows than the six-speed FHP-I model.
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
The number of frames of simulation shown here (just over 5700) takes about five seconds to simulate on an 8 core machine, but is shown here at one frame per simulation step.
The code can be downloaded here: http://fab.cba.mit.edu/classes/MIT/864.11/people/Peter_Schmidt_Nielsen/index.html
- published: 16 Apr 2011
- views: 1844
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemble (fixed number of particles).
As can be seen, the system spontaneously segregates into a liquid (high density) and a gas phase (low density), by forming a droplet.
As the size of the system increases, the shape of the droplet becomes deterministic, and is described by the Wulff construction.
Simulation by Y. Velenik.
For an introduction to the statistical mechanics of lattice systems:
http://www.unige.ch/math/folks/velenik/smbook
- published: 17 Feb 2014
- views: 768
Lattice gas automaton
Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise.
Basic principles
As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of different states. In lattice gas, the various states are particles with certain velocities. Evolution of the simulation is done in discrete time steps. After each time step, the state at a given site can be determined by the state of the site itself and neighboring sites, before the time step.
The state at each site is purely boolean. At a given site, there either is or is not a particle moving in each direction.
At each time step, two processes are carried out, propagation and collision.
This page contains text from Wikipedia, the Free Encyclopedia -
https://wn.com/Lattice_gas_automaton
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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5:40What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON explanation. Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license. Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise. As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of different states. In lattice gas, the various states are particles with certain velocities. Evolution of the simulation is done in discrete time steps. After each time step, the state at a given site can be determined by the state of the site itself and neighboring sites, before the time step. The state at each site is purely boolean. At a given site, there either is or is not a particle moving in each direction. At each time step, two processes are carried out, propagation and collision. In the propagation step, each particle will move to a neighboring site determined by the velocity that particle had. Barring any collisions, a particle with an upwards velocity will after the time step maintain that velocity, but be moved to the neighboring site above the original site. The so-called exclusion principle prevents two or more particles from travelling on the same link in the same direction. In the collision step, collision rules are used to determine what happens if multiple particles reach the same site. These collision rules are required to maintain mass conservation, and conserve the total momentum; the block cellular automaton model can be used to achieve these conservation laws. Note that the exclusion principle does not prevent two particles from travelling on the same link in opposite directions, when this happens, the two particles pass each other without colliding. The hexagonal grid model was first introduced in 1986, in a paper by Uriel Frisch, Brosl Hasslacher and Yves Pomeau, and this has become known as the FHP model after its inventors. The model has six or seven velocities, depending on which variation is used. In any case, six of the velocities represent movement to each of the neighboring sites. In some models (called FHP-II and FHP-III), a seventh velocity representing particles "at rest" is introduced. The "at rest" particles do not propagate to neighboring sites, but they are capable of colliding with other particles. The FHP-III model allows all possible collisions that conserve density and momentum. Increasing the number of collisions raises the Reynolds number, so the FHP-II and FHP-III models can simulate less viscous flows than the six-speed FHP-I model. -
0:39Drainage using lattice gas automata
Drainage using lattice gas automata -
1:502D Lattice Gas Automata - microscopic view
2D Lattice Gas Automata - microscopic view2D Lattice Gas Automata - microscopic view
FHP hexagonical lattice gas cellular automata. -
0:23Lattice Gas Automaton Simulation (FHP-II) with FPGA
Lattice Gas Automaton Simulation (FHP-II) with FPGALattice Gas Automaton Simulation (FHP-II) with FPGA
-
0:26Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in MathematLattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
-
18:43The partition function for a lattice gas
The partition function for a lattice gasThe partition function for a lattice gas
-
0:19Lattice Gas Automaton Simulation (FHP-II) with FPGA
Lattice Gas Automaton Simulation (FHP-II) with FPGALattice Gas Automaton Simulation (FHP-II) with FPGA
Box collision -
3:51Lattice Gas Simulation
Lattice Gas SimulationLattice Gas Simulation
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248. The number of frames of simulation shown here (just over 5700) takes about five seconds to simulate on an 8 core machine, but is shown here at one frame per simulation step. The code can be downloaded here: http://fab.cba.mit.edu/classes/MIT/864.11/people/Peter_Schmidt_Nielsen/index.html -
15:35Kawasaki Dynamics of the Ising lattice gas at low temperature.
Kawasaki Dynamics of the Ising lattice gas at low temperature.Kawasaki Dynamics of the Ising lattice gas at low temperature.
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemble (fixed number of particles). As can be seen, the system spontaneously segregates into a liquid (high density) and a gas phase (low density), by forming a droplet. As the size of the system increases, the shape of the droplet becomes deterministic, and is described by the Wulff construction. Simulation by Y. Velenik. For an introduction to the statistical mechanics of lattice systems: http://www.unige.ch/math/folks/velenik/smbook -
0:16Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica DLattice Gas Methods Theory Application and Hardware Special Issues of Physica D
-
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON explanation. Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license. Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise. As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of diffe...
published: 21 Apr 2017 -
-
2D Lattice Gas Automata - microscopic view
FHP hexagonical lattice gas cellular automata.
published: 05 Jun 2009 -
Lattice Gas Automaton Simulation (FHP-II) with FPGA
published: 08 Aug 2013 -
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
published: 20 Nov 2015 -
The partition function for a lattice gas
published: 06 Feb 2017 -
Lattice Gas Automaton Simulation (FHP-II) with FPGA
Box collision
published: 08 Aug 2013 -
Lattice Gas Simulation
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248. The number of frames of simulation shown here (just over 5700) takes about five seconds to simulate on an 8 core machine, but is shown here at one frame per simulation step. The code can be downloaded here: http://fab.cba.mit.edu/classes/MIT/864.11/people/Peter_Schmidt_Nielsen/index.html
published: 16 Apr 2011 -
Kawasaki Dynamics of the Ising lattice gas at low temperature.
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemble (fixed number of particles). As can be seen, the system spontaneously segregates into a liquid (high density) and a gas phase (low density), by forming a droplet. As the size of the system increases, the shape of the droplet becomes deterministic, and is described by the Wulff construction. Simulation by Y. Velenik. For an introduction to the statistical mechanics of lattice systems: http://www.unige.ch/math/folks/velenik/smbook
published: 17 Feb 2014 -
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
published: 30 Aug 2016
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
- Order: Reorder
- Duration: 5:40
- Updated: 21 Apr 2017
- views: 52
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON ex...
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON explanation.
Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license.
Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise.
As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of different states. In lattice gas, the various states are particles with certain velocities. Evolution of the simulation is done in discrete time steps. After each time step, the state at a given site can be determined by the state of the site itself and neighboring sites, before the time step.
The state at each site is purely boolean. At a given site, there either is or is not a particle moving in each direction.
At each time step, two processes are carried out, propagation and collision.
In the propagation step, each particle will move to a neighboring site determined by the velocity that particle had. Barring any collisions, a particle with an upwards velocity will after the time step maintain that velocity, but be moved to the neighboring site above the original site. The so-called exclusion principle prevents two or more particles from travelling on the same link in the same direction.
In the collision step, collision rules are used to determine what happens if multiple particles reach the same site. These collision rules are required to maintain mass conservation, and conserve the total momentum; the block cellular automaton model can be used to achieve these conservation laws. Note that the exclusion principle does not prevent two particles from travelling on the same link in opposite directions, when this happens, the two particles pass each other without colliding.
The hexagonal grid model was first introduced in 1986, in a paper by Uriel Frisch, Brosl Hasslacher and Yves Pomeau, and this has become known as the FHP model after its inventors. The model has six or seven velocities, depending on which variation is used. In any case, six of the velocities represent movement to each of the neighboring sites. In some models (called FHP-II and FHP-III), a seventh velocity representing particles "at rest" is introduced. The "at rest" particles do not propagate to neighboring sites, but they are capable of colliding with other particles. The FHP-III model allows all possible collisions that conserve density and momentum. Increasing the number of collisions raises the Reynolds number, so the FHP-II and FHP-III models can simulate less viscous flows than the six-speed FHP-I model.
https://wn.com/What_Is_Lattice_Gas_Automaton_What_Does_Lattice_Gas_Automaton_Mean
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON explanation.
Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license.
Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise.
As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of different states. In lattice gas, the various states are particles with certain velocities. Evolution of the simulation is done in discrete time steps. After each time step, the state at a given site can be determined by the state of the site itself and neighboring sites, before the time step.
The state at each site is purely boolean. At a given site, there either is or is not a particle moving in each direction.
At each time step, two processes are carried out, propagation and collision.
In the propagation step, each particle will move to a neighboring site determined by the velocity that particle had. Barring any collisions, a particle with an upwards velocity will after the time step maintain that velocity, but be moved to the neighboring site above the original site. The so-called exclusion principle prevents two or more particles from travelling on the same link in the same direction.
In the collision step, collision rules are used to determine what happens if multiple particles reach the same site. These collision rules are required to maintain mass conservation, and conserve the total momentum; the block cellular automaton model can be used to achieve these conservation laws. Note that the exclusion principle does not prevent two particles from travelling on the same link in opposite directions, when this happens, the two particles pass each other without colliding.
The hexagonal grid model was first introduced in 1986, in a paper by Uriel Frisch, Brosl Hasslacher and Yves Pomeau, and this has become known as the FHP model after its inventors. The model has six or seven velocities, depending on which variation is used. In any case, six of the velocities represent movement to each of the neighboring sites. In some models (called FHP-II and FHP-III), a seventh velocity representing particles "at rest" is introduced. The "at rest" particles do not propagate to neighboring sites, but they are capable of colliding with other particles. The FHP-III model allows all possible collisions that conserve density and momentum. Increasing the number of collisions raises the Reynolds number, so the FHP-II and FHP-III models can simulate less viscous flows than the six-speed FHP-I model.
- published: 21 Apr 2017
- views: 52
Drainage using lattice gas automata
- Order: Reorder
- Duration: 0:39
- Updated: 12 Feb 2008
- views: 1581
Drainage process simulation using lattice gas automata. Details of the method in (PHYS. REV. E vol: 65 (4) Art.: 046305, 2002)
www.lmpt.ufsc.br
Drainage process simulation using lattice gas automata. Details of the method in (PHYS. REV. E vol: 65 (4) Art.: 046305, 2002)
www.lmpt.ufsc.br
https://wn.com/Drainage_Using_Lattice_Gas_Automata
2D Lattice Gas Automata - microscopic view
- Order: Reorder
- Duration: 1:50
- Updated: 05 Jun 2009
- views: 3323
FHP hexagonical lattice gas cellular automata.
FHP hexagonical lattice gas cellular automata.
https://wn.com/2D_Lattice_Gas_Automata_Microscopic_View
Lattice Gas Automaton Simulation (FHP-II) with FPGA
- Order: Reorder
- Duration: 0:23
- Updated: 08 Aug 2013
- views: 389
- published: 08 Aug 2013
- views: 389
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
- Order: Reorder
- Duration: 0:26
- Updated: 20 Nov 2015
- views: 130
- published: 20 Nov 2015
- views: 130
The partition function for a lattice gas
- Order: Reorder
- Duration: 18:43
- Updated: 06 Feb 2017
- views: 145
- published: 06 Feb 2017
- views: 145
Lattice Gas Automaton Simulation (FHP-II) with FPGA
- Order: Reorder
- Duration: 0:19
- Updated: 08 Aug 2013
- views: 277
Box collision
Box collision
https://wn.com/Lattice_Gas_Automaton_Simulation_(Fhp_Ii)_With_Fpga
Box collision
- published: 08 Aug 2013
- views: 277
Lattice Gas Simulation
- Order: Reorder
- Duration: 3:51
- Updated: 16 Apr 2011
- views: 1844
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
The number of frames of simulation shown here (just over 5700) takes ...
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
The number of frames of simulation shown here (just over 5700) takes about five seconds to simulate on an 8 core machine, but is shown here at one frame per simulation step.
The code can be downloaded here: http://fab.cba.mit.edu/classes/MIT/864.11/people/Peter_Schmidt_Nielsen/index.html
https://wn.com/Lattice_Gas_Simulation
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
The number of frames of simulation shown here (just over 5700) takes about five seconds to simulate on an 8 core machine, but is shown here at one frame per simulation step.
The code can be downloaded here: http://fab.cba.mit.edu/classes/MIT/864.11/people/Peter_Schmidt_Nielsen/index.html
- published: 16 Apr 2011
- views: 1844
Kawasaki Dynamics of the Ising lattice gas at low temperature.
- Order: Reorder
- Duration: 15:35
- Updated: 17 Feb 2014
- views: 768
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemb...
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemble (fixed number of particles).
As can be seen, the system spontaneously segregates into a liquid (high density) and a gas phase (low density), by forming a droplet.
As the size of the system increases, the shape of the droplet becomes deterministic, and is described by the Wulff construction.
Simulation by Y. Velenik.
For an introduction to the statistical mechanics of lattice systems:
http://www.unige.ch/math/folks/velenik/smbook
https://wn.com/Kawasaki_Dynamics_Of_The_Ising_Lattice_Gas_At_Low_Temperature.
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemble (fixed number of particles).
As can be seen, the system spontaneously segregates into a liquid (high density) and a gas phase (low density), by forming a droplet.
As the size of the system increases, the shape of the droplet becomes deterministic, and is described by the Wulff construction.
Simulation by Y. Velenik.
For an introduction to the statistical mechanics of lattice systems:
http://www.unige.ch/math/folks/velenik/smbook
- published: 17 Feb 2014
- views: 768
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
- Order: Reorder
- Duration: 0:16
- Updated: 30 Aug 2016
- views: 5
- published: 30 Aug 2016
- views: 5
-
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON explanation. Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license. Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise. As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of diffe...
published: 21 Apr 2017 -
-
2D Lattice Gas Automata - microscopic view
FHP hexagonical lattice gas cellular automata.
published: 05 Jun 2009 -
Lattice Gas Automaton Simulation (FHP-II) with FPGA
published: 08 Aug 2013 -
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
published: 20 Nov 2015 -
The partition function for a lattice gas
published: 06 Feb 2017 -
Lattice Gas Automaton Simulation (FHP-II) with FPGA
Box collision
published: 08 Aug 2013 -
Lattice Gas Simulation
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248. The number of frames of simulation shown here (just over 5700) takes about five seconds to simulate on an 8 core machine, but is shown here at one frame per simulation step. The code can be downloaded here: http://fab.cba.mit.edu/classes/MIT/864.11/people/Peter_Schmidt_Nielsen/index.html
published: 16 Apr 2011 -
Kawasaki Dynamics of the Ising lattice gas at low temperature.
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemble (fixed number of particles). As can be seen, the system spontaneously segregates into a liquid (high density) and a gas phase (low density), by forming a droplet. As the size of the system increases, the shape of the droplet becomes deterministic, and is described by the Wulff construction. Simulation by Y. Velenik. For an introduction to the statistical mechanics of lattice systems: http://www.unige.ch/math/folks/velenik/smbook
published: 17 Feb 2014 -
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
published: 30 Aug 2016
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
- Order: Reorder
- Duration: 5:40
- Updated: 21 Apr 2017
- views: 52
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON ex...
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON explanation.
Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license.
Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise.
As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of different states. In lattice gas, the various states are particles with certain velocities. Evolution of the simulation is done in discrete time steps. After each time step, the state at a given site can be determined by the state of the site itself and neighboring sites, before the time step.
The state at each site is purely boolean. At a given site, there either is or is not a particle moving in each direction.
At each time step, two processes are carried out, propagation and collision.
In the propagation step, each particle will move to a neighboring site determined by the velocity that particle had. Barring any collisions, a particle with an upwards velocity will after the time step maintain that velocity, but be moved to the neighboring site above the original site. The so-called exclusion principle prevents two or more particles from travelling on the same link in the same direction.
In the collision step, collision rules are used to determine what happens if multiple particles reach the same site. These collision rules are required to maintain mass conservation, and conserve the total momentum; the block cellular automaton model can be used to achieve these conservation laws. Note that the exclusion principle does not prevent two particles from travelling on the same link in opposite directions, when this happens, the two particles pass each other without colliding.
The hexagonal grid model was first introduced in 1986, in a paper by Uriel Frisch, Brosl Hasslacher and Yves Pomeau, and this has become known as the FHP model after its inventors. The model has six or seven velocities, depending on which variation is used. In any case, six of the velocities represent movement to each of the neighboring sites. In some models (called FHP-II and FHP-III), a seventh velocity representing particles "at rest" is introduced. The "at rest" particles do not propagate to neighboring sites, but they are capable of colliding with other particles. The FHP-III model allows all possible collisions that conserve density and momentum. Increasing the number of collisions raises the Reynolds number, so the FHP-II and FHP-III models can simulate less viscous flows than the six-speed FHP-I model.
https://wn.com/What_Is_Lattice_Gas_Automaton_What_Does_Lattice_Gas_Automaton_Mean
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON meaning - LATTICE GAS AUTOMATON definition - LATTICE GAS AUTOMATON explanation.
Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license.
Lattice gas automata or lattice gas cellular automata are a type of cellular automaton used to simulate fluid flows. They were the precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations. Interest in lattice gas automaton methods levelled off in the early 1990s, as the interest in the lattice Boltzmann started to rise.
As a cellular automaton, these models comprise a lattice, where the sites on the lattice can take a certain number of different states. In lattice gas, the various states are particles with certain velocities. Evolution of the simulation is done in discrete time steps. After each time step, the state at a given site can be determined by the state of the site itself and neighboring sites, before the time step.
The state at each site is purely boolean. At a given site, there either is or is not a particle moving in each direction.
At each time step, two processes are carried out, propagation and collision.
In the propagation step, each particle will move to a neighboring site determined by the velocity that particle had. Barring any collisions, a particle with an upwards velocity will after the time step maintain that velocity, but be moved to the neighboring site above the original site. The so-called exclusion principle prevents two or more particles from travelling on the same link in the same direction.
In the collision step, collision rules are used to determine what happens if multiple particles reach the same site. These collision rules are required to maintain mass conservation, and conserve the total momentum; the block cellular automaton model can be used to achieve these conservation laws. Note that the exclusion principle does not prevent two particles from travelling on the same link in opposite directions, when this happens, the two particles pass each other without colliding.
The hexagonal grid model was first introduced in 1986, in a paper by Uriel Frisch, Brosl Hasslacher and Yves Pomeau, and this has become known as the FHP model after its inventors. The model has six or seven velocities, depending on which variation is used. In any case, six of the velocities represent movement to each of the neighboring sites. In some models (called FHP-II and FHP-III), a seventh velocity representing particles "at rest" is introduced. The "at rest" particles do not propagate to neighboring sites, but they are capable of colliding with other particles. The FHP-III model allows all possible collisions that conserve density and momentum. Increasing the number of collisions raises the Reynolds number, so the FHP-II and FHP-III models can simulate less viscous flows than the six-speed FHP-I model.
- published: 21 Apr 2017
- views: 52
Drainage using lattice gas automata
- Order: Reorder
- Duration: 0:39
- Updated: 12 Feb 2008
- views: 1581
Drainage process simulation using lattice gas automata. Details of the method in (PHYS. REV. E vol: 65 (4) Art.: 046305, 2002)
www.lmpt.ufsc.br
Drainage process simulation using lattice gas automata. Details of the method in (PHYS. REV. E vol: 65 (4) Art.: 046305, 2002)
www.lmpt.ufsc.br
https://wn.com/Drainage_Using_Lattice_Gas_Automata
2D Lattice Gas Automata - microscopic view
- Order: Reorder
- Duration: 1:50
- Updated: 05 Jun 2009
- views: 3323
FHP hexagonical lattice gas cellular automata.
FHP hexagonical lattice gas cellular automata.
https://wn.com/2D_Lattice_Gas_Automata_Microscopic_View
Lattice Gas Automaton Simulation (FHP-II) with FPGA
- Order: Reorder
- Duration: 0:23
- Updated: 08 Aug 2013
- views: 389
- published: 08 Aug 2013
- views: 389
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
- Order: Reorder
- Duration: 0:26
- Updated: 20 Nov 2015
- views: 130
- published: 20 Nov 2015
- views: 130
The partition function for a lattice gas
- Order: Reorder
- Duration: 18:43
- Updated: 06 Feb 2017
- views: 145
- published: 06 Feb 2017
- views: 145
Lattice Gas Automaton Simulation (FHP-II) with FPGA
- Order: Reorder
- Duration: 0:19
- Updated: 08 Aug 2013
- views: 277
Box collision
Box collision
https://wn.com/Lattice_Gas_Automaton_Simulation_(Fhp_Ii)_With_Fpga
Box collision
- published: 08 Aug 2013
- views: 277
Lattice Gas Simulation
- Order: Reorder
- Duration: 3:51
- Updated: 16 Apr 2011
- views: 1844
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
The number of frames of simulation shown here (just over 5700) takes ...
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
The number of frames of simulation shown here (just over 5700) takes about five seconds to simulate on an 8 core machine, but is shown here at one frame per simulation step.
The code can be downloaded here: http://fab.cba.mit.edu/classes/MIT/864.11/people/Peter_Schmidt_Nielsen/index.html
https://wn.com/Lattice_Gas_Simulation
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
The number of frames of simulation shown here (just over 5700) takes about five seconds to simulate on an 8 core machine, but is shown here at one frame per simulation step.
The code can be downloaded here: http://fab.cba.mit.edu/classes/MIT/864.11/people/Peter_Schmidt_Nielsen/index.html
- published: 16 Apr 2011
- views: 1844
Kawasaki Dynamics of the Ising lattice gas at low temperature.
- Order: Reorder
- Duration: 15:35
- Updated: 17 Feb 2014
- views: 768
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemb...
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemble (fixed number of particles).
As can be seen, the system spontaneously segregates into a liquid (high density) and a gas phase (low density), by forming a droplet.
As the size of the system increases, the shape of the droplet becomes deterministic, and is described by the Wulff construction.
Simulation by Y. Velenik.
For an introduction to the statistical mechanics of lattice systems:
http://www.unige.ch/math/folks/velenik/smbook
https://wn.com/Kawasaki_Dynamics_Of_The_Ising_Lattice_Gas_At_Low_Temperature.
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperature, in the phase coexistence regime; it is done in the canonical ensemble (fixed number of particles).
As can be seen, the system spontaneously segregates into a liquid (high density) and a gas phase (low density), by forming a droplet.
As the size of the system increases, the shape of the droplet becomes deterministic, and is described by the Wulff construction.
Simulation by Y. Velenik.
For an introduction to the statistical mechanics of lattice systems:
http://www.unige.ch/math/folks/velenik/smbook
- published: 17 Feb 2014
- views: 768
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
- Order: Reorder
- Duration: 0:16
- Updated: 30 Aug 2016
- views: 5
- published: 30 Aug 2016
- views: 5
fullscreen slideshow
- Playlist
- Chat
fullscreen slideshow
- Playlist
- Chat
5:40
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON...
published: 21 Apr 2017
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
- Report rights infringement
- published: 21 Apr 2017
- views: 52
0:39
Drainage using lattice gas automata
Drainage process simulation using lattice gas automata. Details of the method in (PHYS. RE...
published: 12 Feb 2008
Drainage using lattice gas automata
1:50
2D Lattice Gas Automata - microscopic view
FHP hexagonical lattice gas cellular automata.
published: 05 Jun 2009
2D Lattice Gas Automata - microscopic view
2D Lattice Gas Automata - microscopic view
- Report rights infringement
- published: 05 Jun 2009
- views: 3323
0:23
Lattice Gas Automaton Simulation (FHP-II) with FPGA
published: 08 Aug 2013
Lattice Gas Automaton Simulation (FHP-II) with FPGA
Lattice Gas Automaton Simulation (FHP-II) with FPGA
- Report rights infringement
- published: 08 Aug 2013
- views: 389
0:26
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
published: 20 Nov 2015
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
- Report rights infringement
- published: 20 Nov 2015
- views: 130
18:43
The partition function for a lattice gas
published: 06 Feb 2017
The partition function for a lattice gas
The partition function for a lattice gas
- Report rights infringement
- published: 06 Feb 2017
- views: 145
0:19
Lattice Gas Automaton Simulation (FHP-II) with FPGA
Box collision
published: 08 Aug 2013
Lattice Gas Automaton Simulation (FHP-II) with FPGA
Lattice Gas Automaton Simulation (FHP-II) with FPGA
- Report rights infringement
- published: 08 Aug 2013
- views: 277
3:51
Lattice Gas Simulation
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
...
published: 16 Apr 2011
Lattice Gas Simulation
Lattice Gas Simulation
- Report rights infringement
- published: 16 Apr 2011
- views: 1844
15:35
Kawasaki Dynamics of the Ising lattice gas at low temperature.
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperatur...
published: 17 Feb 2014
Kawasaki Dynamics of the Ising lattice gas at low temperature.
Kawasaki Dynamics of the Ising lattice gas at low temperature.
- Report rights infringement
- published: 17 Feb 2014
- views: 768
0:16
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
published: 30 Aug 2016
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
- Report rights infringement
- published: 30 Aug 2016
- views: 5
fullscreen slideshow
- Playlist
- Chat
5:40
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean? LATTICE GAS AUTOMATON...
published: 21 Apr 2017
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
What is LATTICE GAS AUTOMATON? What does LATTICE GAS AUTOMATON mean?
- Report rights infringement
- published: 21 Apr 2017
- views: 52
0:39
Drainage using lattice gas automata
Drainage process simulation using lattice gas automata. Details of the method in (PHYS. RE...
published: 12 Feb 2008
Drainage using lattice gas automata
1:50
2D Lattice Gas Automata - microscopic view
FHP hexagonical lattice gas cellular automata.
published: 05 Jun 2009
2D Lattice Gas Automata - microscopic view
2D Lattice Gas Automata - microscopic view
- Report rights infringement
- published: 05 Jun 2009
- views: 3323
0:23
Lattice Gas Automaton Simulation (FHP-II) with FPGA
published: 08 Aug 2013
Lattice Gas Automaton Simulation (FHP-II) with FPGA
Lattice Gas Automaton Simulation (FHP-II) with FPGA
- Report rights infringement
- published: 08 Aug 2013
- views: 389
0:26
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
published: 20 Nov 2015
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction Lecture Notes in Mathemat
- Report rights infringement
- published: 20 Nov 2015
- views: 130
18:43
The partition function for a lattice gas
published: 06 Feb 2017
The partition function for a lattice gas
The partition function for a lattice gas
- Report rights infringement
- published: 06 Feb 2017
- views: 145
0:19
Lattice Gas Automaton Simulation (FHP-II) with FPGA
Box collision
published: 08 Aug 2013
Lattice Gas Automaton Simulation (FHP-II) with FPGA
Lattice Gas Automaton Simulation (FHP-II) with FPGA
- Report rights infringement
- published: 08 Aug 2013
- views: 277
3:51
Lattice Gas Simulation
This is a hexagonal lattice gas simulator I wrote, running with a grid size of 1920x1248.
...
published: 16 Apr 2011
Lattice Gas Simulation
Lattice Gas Simulation
- Report rights infringement
- published: 16 Apr 2011
- views: 1844
15:35
Kawasaki Dynamics of the Ising lattice gas at low temperature.
This simulation represents the evolution of an 400x400 Ising lattice gas at low temperatur...
published: 17 Feb 2014
Kawasaki Dynamics of the Ising lattice gas at low temperature.
Kawasaki Dynamics of the Ising lattice gas at low temperature.
- Report rights infringement
- published: 17 Feb 2014
- views: 768
0:16
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
published: 30 Aug 2016
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
Lattice Gas Methods Theory Application and Hardware Special Issues of Physica D
- Report rights infringement
- published: 30 Aug 2016
- views: 5
What is LATTICE GAS AUTOMATON? What does LATTICE G...
Drainage using lattice gas automata...
2D Lattice Gas Automata - microscopic view...
Lattice Gas Automaton Simulation (FHP-II) with FPG...
Lattice Gas Cellular Automata and Lattice Boltzman...
The partition function for a lattice gas...
Lattice Gas Automaton Simulation (FHP-II) with FPG...
Lattice Gas Simulation...
Kawasaki Dynamics of the Ising lattice gas at low ...
Lattice Gas Methods Theory Application and Hardwar...
See more photos of lattice gas automaton
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