Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/1EABC56C-8006-4C75-8B46-33EA52D28F51 | - |
| Identifier | https://doi.org/10.1111/sapm.12623 | - |
| Identifier | https://onlinelibrary.wiley.com/doi/10.1111/sapm.12623 | - |
| Language | en | - |
| Extent | 35 pages | en |
| Title | A particle method for 1-D compressible fluid flow | en |
| Creator | Karafyllis Iason | en |
| Creator | Καραφυλλης Ιασων | el |
| Creator | Papageorgiou Markos | en |
| Creator | Παπαγεωργιου Μαρκος | el |
| Publisher | Wiley | en |
| Description | The research leading to these results has received funding from the European Research Council under the European Union’s Horizon 2020 Research and Innovation programme/ ERC Grant Agreement n. [833915], project TrafficFluid. | en |
| Content Summary | This paper proposes a novel particle scheme that provides convergent approximations of a weak solution of the Navier-Stokes equations for the 1-D flow of a viscous compressible fluid. Moreover, it is shown that all differential inequalities that hold for the fluid model are preserved by the particle method: mass is conserved, mechanical energy is decaying, and a modified mechanical energy functional is also decaying. The proposed particle method can be used both as a numerical method and as a method of proving existence of solutions for compressible fluid models. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| Date of Item | 2024-06-28 | - |
| Date of Publication | 2023 | - |
| Subject | Particle methods | en |
| Subject | Compressible fluid flow | en |
| Bibliographic Citation | I. Karafyllis and M. Papageorgiou, “A particle method for 1‐D compressible fluid flow,” Stud. Appl. Math., 2023, doi: 10.1111/sapm.12623. | en |
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