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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/1EABC56C-8006-4C75-8B46-33EA52D28F51 | ||
| Year | 2023 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
| License |
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| 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. https://doi.org/10.1111/sapm.12623 | ||
| Appears in Collections |
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.
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