Detonation modeling with the particles on demand method

Sawant, N.; Dorschner, Benedikt; Karlin, Iliya V.

doi:10.1063/5.0095122

Cited by 8 publications

(3 citation statements)

References 47 publications

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“…To that end, most Lagrangian realizations rely on an additional interpolation step to reconstruct distribution functions on the grid. While successfully applied to a number of flow configurations, they have been observed to suffer from conservativity issues due to the interpolation step, especially in flows involving large gradients (Kallikounis, Dorschner & Karlin 2022; Sawant, Dorschner & Karlin 2022). A flux-conserving realization of the PonD following the discrete unified gas kinetic scheme (Guo, Xu & Wang 2013) was recently introduced by Kallikounis et al.…”

Section: Introductionmentioning

confidence: 99%

Eulerian discrete kinetic framework in comoving reference frame for hypersonic flows

Ji,

Hosseini,

Dorschner

et al. 2024

J. Fluid Mech.

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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.

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Section: Introductionmentioning

confidence: 99%

Eulerian discrete kinetic framework in comoving reference frame for hypersonic flows

Ji,

Hosseini,

Dorschner

et al. 2024

J. Fluid Mech.

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show abstract

“…The work set the stage for many new developments in complex flow simulations. The scheme was extended and applied to various compressible flow simulations [34][35][36][37][38][39]. Recalibrating the populations to the flow velocity temperature for the collision step is known to improve stability [40].…”

Section: Introductionmentioning

confidence: 99%

Recalibration of LBM Populations for Construction of Grid Refinement with no Interpolation

Berezin¹,

Perepelkina²,

Иванов³

et al. 2023

Preprint

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Grid refinement is used to save computing costs while preserving high precision of fluid simulation. In the Lattice Boltzmann Method, grid refinement often uses interpolated values. We found a method, where interpolation in space and time is not required. For this purpose, we used the moment matching condition and rescaling the non-equilibrium part of populations, and developed the recalibration procedure that allows to transfer information between different LBM stencils in the simulation domain. Then, we build non-uniform lattice which uses stencils with different shapes on the transition. The resulting procedure is verified on the 2D Poisselle flow and the advected vortex benchmark. In prospect, grids with adaptive geometry can be built with the use of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Recalibration of LBM Populations for Construction of Grid Refinement with No Interpolation

Berezin

Perepelkina

Иванов

et al. 2023

Fluids

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Grid refinement is used to reduce computing costs while maintaining the precision of fluid simulation. In the lattice Boltzmann method (LBM), grid refinement often uses interpolated values. Here, we developed a method in which interpolation in space and time is not required. For this purpose, we used the moment matching condition and rescaled the nonequilibrium part of the populations, thereby developing a recalibration procedure that allows for the transfer of information between different LBM stencils in the simulation domain. Then, we built a nonuniform lattice that uses stencils with different shapes on the transition. The resulting procedure was verified by performing benchmarks with the 2D Poisselle flow and the advected vortex. It is suggested that grids with adaptive geometry can be built with the proposed method.

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Detonation modeling with the particles on demand method

Cited by 8 publications

References 47 publications

Eulerian discrete kinetic framework in comoving reference frame for hypersonic flows

Eulerian discrete kinetic framework in comoving reference frame for hypersonic flows

Recalibration of LBM Populations for Construction of Grid Refinement with no Interpolation

Recalibration of LBM Populations for Construction of Grid Refinement with No Interpolation

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