A neural network closure for the Euler-Poisson system based on kinetic simulations Article Swipe
Léo Bois
,
Emmanuel Franck
,
Laurent Navoret
,
Vincent Vigon
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2011.06242
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2011.06242
This work deals with the modeling of plasmas, which are charged-particle fluids. Thanks to machine leaning, we construct a closure for the one-dimensional Euler-Poisson system valid for a wide range of collision regimes. This closure, based on a fully convolutional neural network called V-net, takes as input the whole spatial density, mean velocity and temperature and predicts as output the whole heat flux. It is learned from data coming from kinetic simulations of the Vlasov-Poisson equations. Data generation and preprocessings are designed to ensure an almost uniform accuracy over the chosen range of Knudsen numbers (which parametrize collision regimes). Finally, several numerical tests are carried out to assess validity and flexibility of the whole pipeline.
Related Topics
Concepts
Closure (psychology)
Knudsen number
Range (aeronautics)
Poisson distribution
Kinetic energy
Artificial neural network
Euler's formula
Euler equations
Computer science
Statistical physics
Applied mathematics
Mechanics
Physics
Algorithm
Mathematics
Mathematical analysis
Classical mechanics
Artificial intelligence
Statistics
Engineering
Aerospace engineering
Economics
Market economy
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.48550/arxiv.2011.06242
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4287599872
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4287599872Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2011.06242Digital Object Identifier
- Title
-
A neural network closure for the Euler-Poisson system based on kinetic simulationsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-11-12Full publication date if available
- Authors
-
Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent VigonList of authors in order
- Landing page
-
https://doi.org/10.48550/arxiv.2011.06242Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.48550/arxiv.2011.06242Direct OA link when available
- Concepts
-
Closure (psychology), Knudsen number, Range (aeronautics), Poisson distribution, Kinetic energy, Artificial neural network, Euler's formula, Euler equations, Computer science, Statistical physics, Applied mathematics, Mechanics, Physics, Algorithm, Mathematics, Mathematical analysis, Classical mechanics, Artificial intelligence, Statistics, Engineering, Aerospace engineering, Economics, Market economyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.plasmas, | 7 |
| abstract_inverted_index.predicts | 56 |
| abstract_inverted_index.regimes. | 32 |
| abstract_inverted_index.validity | 108 |
| abstract_inverted_index.velocity | 52 |
| abstract_inverted_index.collision | 31, 97 |
| abstract_inverted_index.construct | 17 |
| abstract_inverted_index.numerical | 101 |
| abstract_inverted_index.pipeline. | 114 |
| abstract_inverted_index.regimes). | 98 |
| abstract_inverted_index.equations. | 75 |
| abstract_inverted_index.generation | 77 |
| abstract_inverted_index.flexibility | 110 |
| abstract_inverted_index.parametrize | 96 |
| abstract_inverted_index.simulations | 71 |
| abstract_inverted_index.temperature | 54 |
| abstract_inverted_index.Euler-Poisson | 23 |
| abstract_inverted_index.convolutional | 39 |
| abstract_inverted_index.Vlasov-Poisson | 74 |
| abstract_inverted_index.preprocessings | 79 |
| abstract_inverted_index.one-dimensional | 22 |
| abstract_inverted_index.charged-particle | 10 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.41999998688697815 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile |