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Variable-moment fluid closures with Hamiltonian structure
Based on ideas due to Scovel–Weinstein, I present a general framework for constructing fluid moment closures of the Vlasov–Poisson system that exactly preserve that system’s Hamiltonian structure. Notably, the technique applies in any space dimension and produces closures involving arbitrarily-large...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Nature Publishing Group UK
2023
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10600257/ https://www.ncbi.nlm.nih.gov/pubmed/37880306 http://dx.doi.org/10.1038/s41598-023-45416-5 |
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author | Burby, J. W. |
author_facet | Burby, J. W. |
author_sort | Burby, J. W. |
collection | PubMed |
description | Based on ideas due to Scovel–Weinstein, I present a general framework for constructing fluid moment closures of the Vlasov–Poisson system that exactly preserve that system’s Hamiltonian structure. Notably, the technique applies in any space dimension and produces closures involving arbitrarily-large finite collections of moments. After selecting a desired collection of moments, the Poisson bracket for the closure is uniquely determined. Therefore data-driven fluid closures can be constructed by adjusting the closure Hamiltonian for compatibility with kinetic simulations. |
format | Online Article Text |
id | pubmed-10600257 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-106002572023-10-27 Variable-moment fluid closures with Hamiltonian structure Burby, J. W. Sci Rep Article Based on ideas due to Scovel–Weinstein, I present a general framework for constructing fluid moment closures of the Vlasov–Poisson system that exactly preserve that system’s Hamiltonian structure. Notably, the technique applies in any space dimension and produces closures involving arbitrarily-large finite collections of moments. After selecting a desired collection of moments, the Poisson bracket for the closure is uniquely determined. Therefore data-driven fluid closures can be constructed by adjusting the closure Hamiltonian for compatibility with kinetic simulations. Nature Publishing Group UK 2023-10-25 /pmc/articles/PMC10600257/ /pubmed/37880306 http://dx.doi.org/10.1038/s41598-023-45416-5 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Burby, J. W. Variable-moment fluid closures with Hamiltonian structure |
title | Variable-moment fluid closures with Hamiltonian structure |
title_full | Variable-moment fluid closures with Hamiltonian structure |
title_fullStr | Variable-moment fluid closures with Hamiltonian structure |
title_full_unstemmed | Variable-moment fluid closures with Hamiltonian structure |
title_short | Variable-moment fluid closures with Hamiltonian structure |
title_sort | variable-moment fluid closures with hamiltonian structure |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10600257/ https://www.ncbi.nlm.nih.gov/pubmed/37880306 http://dx.doi.org/10.1038/s41598-023-45416-5 |
work_keys_str_mv | AT burbyjw variablemomentfluidclosureswithhamiltonianstructure |