Double-distribution-function discrete Boltzmann model for combustion

Lin, Chin E.; Xu, Aiguo; Zhang, Guangcai; Li, Yingjun

doi:10.1016/j.combustflame.2015.11.010

Cited by 96 publications

(125 citation statements)

References 70 publications

(133 reference statements)

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“…(12) has two advantages over the previous one in Ref. [49]. On the one hand, the extra degrees of freedom I σ in Eq.…”

Section: A Collision Termmentioning

confidence: 89%

“…Recently, a DBM has been presented for a system containing two species, σ = A and B [49]. The two species are described by two coupled discrete Boltzmann equations, which employ the same discrete velocity model.…”

Section: Discrete Boltzmann Equationmentioning

confidence: 99%

“…Here the 2-dimensional 16-velocity model (D2V16) is adopted, see Ref. [49] for more details. It should be mentioned that the species velocity u σ may differ from the mixture velocity u.…”

Section: A Collision Termmentioning

confidence: 99%

“…In addition to a better characterization of nonequilibrium flow state, the study on the TNE is helpful for understanding the nonlinear constitutive relation which significantly influences the physical accuracy of the hydrodynamic model. To this end, we resort to a variant of the traditional LBM which is named the discrete Boltzmann model (DBM) [10,11,[46][47][48][49][50]. The DBM has been used to investigate various complex flows.…”

Section: Introductionmentioning

confidence: 99%

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Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows

Lin

Zhang

et al. 2017

Phys. Rev. E

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A discrete Boltzmann model (DBM) is proposed to probe the Rayleigh-Taylor instability (RTI) in two-component compressible flows. Each species has a flexible specific heat ratio and is described by one discrete Boltzmann equation (DBE). Independent discrete velocities are adopted for the two DBEs. The collision and force terms in the DBE account for the molecular collision and external force, respectively. Two types of force terms are exploited. In addition to recovering the modified Navier-Stokes equations in the hydrodynamic limit, the DBM has the capability of capturing detailed nonequilibrium effects. Furthermore, we use the DBM to investigate the dynamic process of the RTI. The invariants of tensors for nonequilibrium effects are presented and studied. For low Reynolds numbers, both global nonequilibrium manifestations and the growth rate of the entropy of mixing show three stages (i.e., the reducing, increasing, and then decreasing trends) in the evolution of the RTI. On the other hand, the early reducing tendency is suppressed and even eliminated for high Reynolds numbers. Relevant physical mechanisms are analyzed and discussed.

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“…(12) has two advantages over the previous one in Ref. [49]. On the one hand, the extra degrees of freedom I σ in Eq.…”

Section: A Collision Termmentioning

confidence: 89%

Section: Discrete Boltzmann Equationmentioning

confidence: 99%

“…Here the 2-dimensional 16-velocity model (D2V16) is adopted, see Ref. [49] for more details. It should be mentioned that the species velocity u σ may differ from the mixture velocity u.…”

Section: A Collision Termmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows

Lin

Zhang

et al. 2017

Phys. Rev. E

Self Cite

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“…In order to alleviate the heavy computational burden of directly solving Boltzmann equation, a variety of Boltzmann equationbased methods, such as the unified gas-kinetic scheme (UGKS) [10,11], the discrete velocity method (DVM) [12], the discrete unified gas-kinetic scheme (DUGKS) [13,14], the lattice Boltzmann method (LBM) [2,[15][16][17][18][19][20][21][22][23][24][25][26], have been presented and well developed. Recently, Discrete Boltzmann Method (DBM) has also been developed and widely used in various complex flow simulations [27][28][29], such as multiphase flows [30], flow instability [31,32], combustion and detonation [33,34], etc. From the viewpoint of numerical algorithm, similar to finite-different LBM, the velocity space is substituted by a limited number of particle velocities in DBM.…”

Section: Introductionmentioning

confidence: 99%

Discrete Boltzmann Method with Maxwell-Type Boundary Condition for Slip Flow

Zhang¹,

Xu²,

Zhang³

et al. 2018

Commun. Theor. Phys.

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The rarefied effect of gas flow in microchannel is significant and cannot be well described by traditional hydrodynamic models. It has been know that discrete Boltzmann model (DBM) has the potential to investigate flows in a relatively wider range of Knudsen number because of its intrinsic kinetic nature inherited from Boltzmann equation. It is crucial to have a proper kinetic boundary condition for DBM to capture the velocity slip and the flow characteristics in the Knudsen layer. In this paper, we present a DBM combined with Maxwell-type boundary condition model for slip flow. The tangential momentum accommodation coefficient is introduced to implement a gas-surface interaction model. Both the velocity slip and the Knudsen layer under various Knudsen numbers and accommodation coefficients can be well described. Two kinds of slip flows, including Couette flow and Poiseuille flow, are simulated to verify the model. To dynamically compare results from different models, the relation between the definition of Knudsen number in hard sphere model and that in BGK model is clarified.

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Diameter Effect on the Propagation of Curved Detonation Waves in Micro‐Channel Charges Within a Strong Confinement

Jiao

Song

Nie

et al. 2018

Propellants Explo Pyrotec

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The property of detonation wave propagation in micro‐channel charges is one of the most important research areas in the field of explosives. Based on DSD (Detonation Shock Dynamics) theory and a linear assumption for the streamline deflection angle, this paper proposes a theoretical model for curved detonation wave propagation in cylinder‐type micro‐channel charges within a strong confinement of metal tube. Further, dynamic control equations related to the detonation velocity and charge diameter are deduced, a numerical calculation method of detonation velocity and shock front shape is given, and propagation rules for detonation waves with different diameters are obtained. An experiment was designed to test the detonation velocities for micro‐channel charges with a booster explosive. The results closely agree with calculations, validating the propagation model of curved detonation waves. It was found that the detonation velocity loss and shock front curvature in the central axis decreased with increasing diameter in the calculation range. Moreover, the smaller the diameter, the greater the rate of change. It is also shown that the model is suitable for the prediction of diameter effects in micro‐channel charges, which is of significance for structural design and performance optimization in MEMS initiation systems.

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Double-distribution-function discrete Boltzmann model for combustion

Cited by 96 publications

References 70 publications

Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows

Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows

Discrete Boltzmann Method with Maxwell-Type Boundary Condition for Slip Flow

Diameter Effect on the Propagation of Curved Detonation Waves in Micro‐Channel Charges Within a Strong Confinement

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