Implicit–explicit finite‐difference lattice Boltzmann method with viscid compressible model for gas oscillating patterns in a resonator

Wang, Yueshe; He, Ya‐Ling; Huang, Jing; Li, Qing

doi:10.1002/fld.1843

Cited by 21 publications

(9 citation statements)

References 41 publications

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“…The standard LBM with an incompressible model and the finite-difference-based LBM with a compressible model have been adopted to simulate gas flow in a resonator in refs. [30,79], respectively. Some numerical results with the finite-difference LBM are presented below.…”

Section: Lattice Boltzmann Study Of Thermoacousticsmentioning

confidence: 97%

“…And the ability of LBM to treat acoustic problems is validated. Then, simulations of gas oscillating in a thermoacoustic resonator [30,79] and the thermoacoustic onset have been carried out. Some results on the thermoacoustic resonator are given below.…”

Section: Lattice Boltzmann Study Of Thermoacousticsmentioning

confidence: 99%

“…(30) and (31). To solve flows with shock waves or contact discontinuities, high order spatial discrete schemes are needed [19,24,25] .…”

Section: Computational Schemementioning

confidence: 99%

“…In order to eliminate or reduce this error, many efforts have been made to construct incompressible lattice BGK models [6][7][8][9][10] . In recent years, LBM has also been extended to simulate incompressible thermal flows [11][12][13][14][15][16][17][18] , compressible flows [19][20][21][22][23][24][25][26][27][28][29][30] , microscale gaseous flows [31][32][33][34][35][36][37][38][39][40] , etc.…”

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confidence: 99%

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Lattice Boltzmann method and its applications in engineering thermophysics

Wang

et al. 2009

Chin. Sci. Bull.

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The lattice Boltzmann method (LBM), a mesoscopic method between the molecular dynamics method and the conventional numerical methods, has been developed into a very efficient numerical alternative in the past two decades. Unlike conventional numerical methods, the kinetic theory based LBM simulates fluid flows by tracking the evolution of the particle distribution function, and then accumulates the distribution to obtain macroscopic averaged properties. In this article we review some work on LBM applications in engineering thermophysics: (1) brief introduction to the development of the LBM; (2) fundamental theory of LBM including the Boltzmann equation, Maxwell distribution function, Boltzmann-BGK equation, and the lattice Boltzmann-BGK equation; (3) lattice Boltzmann models for compressible flows and non-equilibrium gas flows, bounce back-specular-reflection boundary scheme for microscale gaseous flows, the mass modified outlet boundary scheme for fully developed flows, and an implicit-explicit finite-difference-based LBM; and (4) applications of the LBM to oscillating flow, compressible flow, porous media flow, non-equilibrium flow, and gas resonant oscillating flow. lattice Boltzmann method, numerical simulation, engineering thermophysicsThe lattice Boltzmann method (LBM), a mesoscopic numerical method based on the kinetic theory, has attracted the attention of many scholars at home and abroad and has been developed rapidly in both theory and applications in the past years. At the macroscopic level, LBM can be considered as a discrete method, while at the microscopic level it can be treated as a continuum method. In comparison with conventional numerical methods, kinetic features of LBM enable it to be more effective for simulating complex flows, such as flow in porous media, suspension flow, multiphase flow, and multi-component flow. Its main advantages can be briefly summarized as follows: nearly ideal amenability to parallel computing, complex boundary conditions can be easily formulated in terms of elementary mechanics rules, and simple programming.LBM historically originated from the lattice gas automata method which has been plagued by several diseases: (1) violation of the Galilei invariance; (2) explicit dependence of equation of state on velocity; (3) noise due to Boolen variables; and (4) complicated collision operator.In order to get rid of the noise in the lattice gas automata method, McNamara and Zanetti [1] introduced the first lattice Boltzmann model in 1988, in which Boolen fields were replaced by continuous distributions over the lattices, and the Fermi-Dirac distribution was used as the equilibrium distribution function. In 1989, Higuera and Jimenez made an important simplification of the lattice Boltzmann method, in which they proposed to use a linearized collision operator by assuming that the distribution was close to its local equilibrium state [2,3] . Subsequently, the Bhatnagar-Gross-Krook (BGK) collision operator was independently introduced into LBM by

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Section: Lattice Boltzmann Study Of Thermoacousticsmentioning

confidence: 97%

Section: Lattice Boltzmann Study Of Thermoacousticsmentioning

confidence: 99%

“…(30) and (31). To solve flows with shock waves or contact discontinuities, high order spatial discrete schemes are needed [19,24,25] .…”

Section: Computational Schemementioning

confidence: 99%

mentioning

confidence: 99%

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Lattice Boltzmann method and its applications in engineering thermophysics

Wang

et al. 2009

Chin. Sci. Bull.

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“…Wang etc. [14] presented a lattice Boltzmann model for the two-dimensional oscillations in the resonator. By taking the periodic boundary condition, they simulated a few acoustic fields driven by five different frequencies related to the resonant frequency.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Two-Dimensional Large-Amplitude Acoustic Oscillations

Feng¹,

Peng²,

Gong³

et al. 2016

IJHT

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The two-dimensional nonlinear acoustic oscillations in the resonator of four different driving amplitudes are simulated by a gas-kinetic scheme. The shock in the resonator, the effects of the driving amplitude on the acoustic field and flow and the distribution of harmonics are investigated based on the simulaton results. Moreover, this work discusses the reasons for the nonlinear effects such as annular effect and velocity reverse. It is pointed out that the waveforms of the acoustics variables increasingly distort with the driving-amplitude increasing. And it is found that the acoustic field and the flow under the large-amplitude are quite different from those under the finite-amplitude. Moreover, it has been shown that the shock greatly affects the pressure, temperature and the axial velocity and has no effect on the radial velocity. All of this shows that the largeamplitude has a large effect on the nonlinearity in the resonator.

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