Rarefied gas flow simulations using high-order gas-kinetic unified algorithms for Boltzmann model equations

Li, Zhihui; Peng, Ao‐Ping; Zhang, Hanxin; Yang, James

doi:10.1016/j.paerosci.2014.12.002

Cited by 76 publications

(42 citation statements)

References 93 publications

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“…Such waves are generally associated with the boundary layer and appear only in the case of large gradients in the flow variables (e.g., velocity, density, temperature). It should be added that the thickness of the shock layer is greater at higher altitudes (e.g., for illustrative examples see Li et al, 2015). Moreover, the shock layers may be optically thin, characterized by the absence of re-absorption of radiation emitted from other parts of the gas.…”

Section: Figurementioning

confidence: 99%

“…A comprehensive discussion on numerical modeling of hypersonic flow is well beyond the scope of this paper, considering that this topic is extensive, well researched, and well represented in literature (e.g., see Sarma, 2000;Bertin et al, 2003;Longo et al, 2007;Gnoffo et al, 2010;McNamara et al, 2011;Boyd, 2014;Li et al, 2015;and references therein). Nevertheless, in this section we present a brief outline of numerical approaches relevant to meteors.…”

Section: Numerical Approachmentioning

confidence: 99%

“…In particular, the linear transport terms for mass, viscosity, diffusion, and thermal conductivity in the partial differential equations are no longer valid (Prasanth and Kakkassery, 2006). For such problems it is necessary to implement the Boltzmann equation of kinetic energy, which can be used to consider the molecular transport phenomena across all Mach numbers and Knudsen numbers of rarefied gases, and as such it is considered the best approach to describe the hypersonic rarefied gas flows (e.g., Cercignani, 2000;Li et al, 2015). The most common application of the Boltzmann equation is in describing the conditions relevant to the problem of re-entry vehicles in the upper atmosphere, where hypersonic conditions in the rarefied flow produce ionizing reactions, and subsequently a thin plasma sheath which can block communications (e.g., Boyd, 2007aBoyd, , 2014Boyd et al, 2016).…”

Section: Numerical Approachmentioning

confidence: 99%

See 2 more Smart Citations

Physics of meteor generated shock waves in the Earth’s atmosphere – A review

Silber

Boslough

Hocking

et al. 2018

Advances in Space Research

106

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Shock waves and the associated phenomena generated by strongly ablating meteoroids with sizes greater than a few millimeters in the lower transitional flow regime of the Earth's atmosphere are the least explored aspect of meteor science. In this paper, we present a comprehensive review of literature covering meteor generated shock wave phenomena, from the aspect of both meteor science and hypersonic gas dynamics. The primary emphasis of this review is placed on the mechanisms and dynamics of the meteor shock waves. We discuss key aspects of both shock generation and propagation, including the great importance of the hydrodynamic shielding that develops around the meteoroid. In addition to this in-depth review, the discussion is extended to an overview of meteoroid fragmentation, followed by airburst type events associated with large, deep penetrating meteoroids. This class of objects has a significant potential to cause extensive material damage and even human casualties on the ground, and as such is of great interest to the planetary defense community. To date, no comprehensive model exists that accurately describes the flow field and shock wave formation of a strongly ablating meteoroid in the non-continuum flow regime. Thus, we briefly present the current state of numerical models that describe the comparatively slower flow of air over non-ablating bodies in the rarefied regime. In respect to the elusive nature of meteor generated shock wave detection, we also discuss relevant aspects and applications of meteor radar and infrasound studies as tools that can be utilized to study meteor shock waves and related phenomena. In particular, infrasound data can provide energy release estimates of meteoroids entering the Earth's atmosphere. We conclude with a summary of unresolved questions in the domain of meteor generated shock waves; topics which should be a focus of future investigations in the field.

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Section: Figurementioning

confidence: 99%

Section: Numerical Approachmentioning

confidence: 99%

Section: Numerical Approachmentioning

confidence: 99%

See 1 more Smart Citation

Physics of meteor generated shock waves in the Earth’s atmosphere – A review

Silber

Boslough

Hocking

et al. 2018

Advances in Space Research

106

View full text Add to dashboard Cite

show abstract

“…However, even with the advanced numerical algorithms and simplified kinetic models, direct simulations of practical 3D problems by DVM are still computationally expensive regarding both the floating point operations and the memory requirement, due to the sheer number of grid points in the phase space (physical space and molecular velocity space). In most practical simulations especially involving high speed flows, massively parallel supercomputing facilities are indispensable [31,22,[32][33][34][35][36][37]. Various techniques have been proposed to reduce the grid points, e.g., the adaptive local refinement for the spatial and velocity grids [38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

GPU acceleration of an iterative scheme for gas-kinetic model equations with memory reduction techniques

Zhu

Wang

Chen

et al. 2019

Computer Physics Communications

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This paper presents a Graphics Processing Units (GPUs) acceleration method of an iterative scheme for gas-kinetic model equations. Unlike the previous GPU parallelization of explicit kinetic schemes, this work features a fast converging iterative scheme. The memory reduction techniques in this method enable full three-dimensional (3D) solution of kinetic model equations in contemporary GPUs usually with a limited memory capacity that otherwise would need terabytes of memory. The GPU algorithm is validated against the DSMC simulation of the 3D lid-driven cavity flow and the supersonic rarefied gas flow past a cube with grids size up to 0.7 trillion points in the phase space. The performance of the GPU algorithm is assessed by comparing with the corresponding parallel CPU program using Message Passing Interface (MPI). The profiling on several models of GPUs shows that the algorithm has a medium to high level of utilization of the GPUs' computing and memory resources. A 190× speedup can be achieved on the Tesla K40 GPUs against a single core of Intel Xeon-E5-2680v3 CPU for the 3D lid-driven cavity flow.

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“…In recent years, a variety of kinetic models based on Boltzmann equation are proposed to simulate non-equilibrium flows [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. The Discrete Boltzmann Method (DBM) [24][25][26][27][28][29][30][31][32][33][34][35][36][37] recently developed from the Lattice Boltzmann Method (LBM) [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52] belongs to this category.…”

Section: Introductionmentioning

confidence: 99%

Discrete Boltzmann model for implosion- and explosionrelated compressible flow with spherical symmetry

Zhang

et al. 2018

Front. Phys.

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To kinetically model implosion and explosion related phenomena, we present a theoretical framework for constructing Discrete Boltzmann Model(DBM) with spherical symmetry in spherical coordinates. To this aim, a key technique is to use local Cartesian coordinates to describe the particle velocity in the kinetic model. Thus, the geometric effects, like the divergence and convergence, are described as a "force term". To better access the nonequilibrium behavior, even though the corresponding hydrodynamic model is one-dimensional, the DBM uses a Discrete Velocity Model(DVM) with 3 dimensions. A new scheme is introduced so that the DBM can use the same DVM no matter considering the extra degree of freedom or not. As an example, a DVM with 26 velocities is formulated to construct the DBM in the Navier-Stokes level. Via the DBM, one can study simultaneously the hydrodynamic and thermodynamic nonequilibrium behaviors in the implosion and explosion process which are not very close to the spherical center. The extension of current model to the multiplerelaxation-time version is straightforward.

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Rarefied gas flow simulations using high-order gas-kinetic unified algorithms for Boltzmann model equations

Cited by 76 publications

References 93 publications

Physics of meteor generated shock waves in the Earth’s atmosphere – A review

Physics of meteor generated shock waves in the Earth’s atmosphere – A review

GPU acceleration of an iterative scheme for gas-kinetic model equations with memory reduction techniques

Discrete Boltzmann model for implosion- and explosionrelated compressible flow with spherical symmetry

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