A three-dimensional discrete Boltzmann model for steady and unsteady detonation

Yu, Ji Young; Lin, Chin E.; Luo, Kai

doi:10.1016/j.jcp.2022.111002

Cited by 12 publications

(15 citation statements)

References 62 publications

(74 reference statements)

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“…. It is noteworthy that the differences between ˆ f and ˆeq  f can be used to measure the nonequilibrium effects of fluid systems [14][15][16][17][18][19][20][21][22][23][24][25][26]. Furthermore, the DBM could recover the reactive Navier-Stokes equations in the hydrodynamic limit.…”

Section: Kinetic Momentsmentioning

confidence: 99%

“…In the near decade, as a versatile mesoscopic kinetic tool, the discrete Boltzmann method (DBM) has been successfully applied to phase transition [12,13], fluid instabilities [14,15], slip flows [16,17], and reactive flows [14][15][16][17][18][19][20][21][22][23][24][25][26], etc. The DBM is a coarse-grained physical model of the Boltzmann equation in the discrete velocity space, and reserves the capability to capture the essential thermodynamic effects.…”

Section: Introductionmentioning

confidence: 99%

“…force and reaction terms. Note that the chemical reactions and multi-physical fields are coupled naturally through the reaction terms in the discrete Boltzmann equations, which are simple governing equations in a uniform form [14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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A multi-relaxation-time discrete Boltzmann model of compressible nonequilibrium reactive flows

Lin

2023

J. Phys.: Conf. Ser.

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A multi-relaxation-time discrete Boltzmann model (DBM) is proposed for compressible nonequilibrium reactive flows. The uniform discrete Boltzmann equations are the governing equations of the discrete distribution functions that describe the reactive system. On the right-hand side of the discrete Boltzmann equations, the reaction terms calculated by the inverse matrix method are used to couple chemical reactions and multi-physical fields naturally. Numerical tests show that the DBM is suitable for premixed, non-premixed and partially premixed reactive systems, and is also capable of high-speed compressible reactive flows.

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Section: Kinetic Momentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A multi-relaxation-time discrete Boltzmann model of compressible nonequilibrium reactive flows

Lin

2023

J. Phys.: Conf. Ser.

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“…As a variant version of the second branch of LBM, the discrete Boltzmann method (DBM) has emerged as a powerful tool for the research of compressible nonequilibrium phenomena during the last decade. [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] To be specific, the DBM possesses two remarkable merits. On the one hand, it can recover macroscopic fluid equations in the hydrodynamic limit and provide essential TNE information.…”

Section: Introductionmentioning

confidence: 99%

A discrete Boltzmann model with symmetric velocity discretization for compressible flow

Lin

Sun

et al. 2023

Chinese Phys. B

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A discrete Boltzmann model (DBM) with symmetric velocity discretization is constructed for compressible systems with an adjustable specific heat ratio in the external force field. The proposed two-dimensional nine-velocity scheme has better spatial symmetry and numerical accuracy than the discretized velocity model in Ref. [2022 Acta Aerodyn. Sin. 40 98108] and owns higher computational efficiency than the one in Ref. [2019 Phys. Rev. E 99 012142]. In addition, the matrix inversion method is adopted to calculate the discrete equilibrium distribution function and force term, both of which satisfy nine independent kinetic moment relations. Moreover, the DBM could be used to study a few thermodynamic nonequilibrium effects beyond the Euler equations that are recovered from the kinetic model in the hydrodynamic limit via the Chapman-Enskog expansion. Finally, the present method is verified through typical numerical simulations, including the free-falling process, Sod’s shock tube, sound wave, compressible Rayleigh–Taylor instability, and translational motion of a two-dimensional fluid system.

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“…This work was followed by an exploration of detonation problems up to Mach 2, involving non-equilibrium hydrodynamics and negative temperature coefficient of reaction [28,29], again with the FDLBM and the Lee-Tarver combination of methods. Recently, the FDLBM coupled with a two-step chemistry model [30] was used to demonstrate three dimensional detonation setups and validation in one dimension for Mach 1.74. Although the progress in kinetic hydrodynamic models for detonation has been commendable, the speed of detonation waves in certain mixtures like hydrogen-Air and acetylene-Air [15,31] are in the range of 5 to 10 times the speed of sound.…”

Section: Introductionmentioning

confidence: 99%

Detonation modeling with the Particles on Demand method

Sawant¹,

Dorschner²,

Karlin³

2022

Preprint

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A kinetic model based on the Particles on Demand method is introduced for gas phase detonation hydrodynamics in conjunction with the Lee-Tarver reaction model. The proposed model is realized on two-and three-dimensional lattices and is validated with a set of benchmarks. Quantitative validation is performed with the Chapman-Jouguet theory up to a detonation wave speed of Mach 20 in one dimension. Two-dimensional outward expanding circular detonation is tested for isotropy of the model as well as for the asymptotic detonation wave speed. Mach reflection angles are verified in setups consisting of interacting strong bow shocks emanating from detonation. Spherical detonation is computed to show viability of the proposed model for three dimensional simulations.

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A three-dimensional discrete Boltzmann model for steady and unsteady detonation

Cited by 12 publications

References 62 publications

A multi-relaxation-time discrete Boltzmann model of compressible nonequilibrium reactive flows

A multi-relaxation-time discrete Boltzmann model of compressible nonequilibrium reactive flows

A discrete Boltzmann model with symmetric velocity discretization for compressible flow

Detonation modeling with the Particles on Demand method

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