eprintid: 10189602 rev_number: 6 eprint_status: archive userid: 699 dir: disk0/10/18/96/02 datestamp: 2024-03-25 15:34:41 lastmod: 2024-03-25 15:34:41 status_changed: 2024-03-25 15:34:41 type: article metadata_visibility: show sword_depositor: 699 creators_name: Ji, Y creators_name: Hosseini, SA creators_name: Dorschner, B creators_name: Luo, KH creators_name: Karlin, IV title: Eulerian discrete kinetic framework in comoving reference frame for hypersonic flows ispublished: pub divisions: UCL divisions: B04 divisions: C05 divisions: F45 note: This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/ licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. abstract: Flow physics vary in different regimes across the full Mach number range, with our knowledge being particularly poor about the hypersonic regime. An Eulerian realization of the particles on demand method, a kinetic model formulated in the comoving reference frame, is proposed to simulate hypersonic compressible flows. The present model allows for flux evaluation in different reference frames, in this case rescaled and shifted by local macroscopic quantities, i.e. fluid speed and temperature. The resulting system of coupled hyperbolic equations is discretized in physical space with a finite volume scheme ensuring exact conservation properties. Regularization via Grad expansion is introduced to implement distribution function and flux transformation between different reference frames. It is shown that the proposed method possesses Galilean invariance at a Mach number up to $100$ . Different benchmarks including both inviscid and viscous flows are reproduced with the Mach number up to $198$ and pressure ratio up to $10^5$ . Finally, the new model is demonstrated to be capable of simulating hypersonic reactive flows, including one-dimensional and two-dimensional detonations. The developed methodology opens up possibilities for the simulation of the full range of compressible flows, without or with chemical reactions, from the subsonic to hypersonic regimes, leading to enhanced understanding of flow behaviours across the full Mach number range. date: 2024-03-18 date_type: published publisher: Cambridge University Press (CUP) official_url: http://dx.doi.org/10.1017/jfm.2024.94 oa_status: green full_text_type: pub language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 2261598 doi: 10.1017/jfm.2024.94 lyricists_name: Luo, Kai lyricists_id: KLUOX54 actors_name: Flynn, Bernadette actors_id: BFFLY94 actors_role: owner full_text_status: public publication: Journal of Fluid Mechanics volume: 983 article_number: A11 citation: Ji, Y; Hosseini, SA; Dorschner, B; Luo, KH; Karlin, IV; (2024) Eulerian discrete kinetic framework in comoving reference frame for hypersonic flows. Journal of Fluid Mechanics , 983 , Article A11. 10.1017/jfm.2024.94 <https://doi.org/10.1017/jfm.2024.94>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10189602/1/eulerian-discrete-kinetic-framework-in-comoving-reference-frame-for-hypersonic-flows.pdf