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A particle method for 1-D compressible fluid flow

Karafyllis Iason, Papageorgiou Markos

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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
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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
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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.

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