Eulerian discrete kinetic framework in comoving reference frame for hypersonic flows
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Date
2024-03-25Type
- Journal Article
ETH Bibliography
yes
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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 105. 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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000666074Publication status
publishedExternal links
Journal / series
Journal of Fluid MechanicsVolume
Pages / Article No.
Publisher
Cambridge University PressSubject
detonation waves; hypersonic flowFunding
834763 - Particles-on-Demand for Multiscale Fluid Dynamics (EC)
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ETH Bibliography
yes
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