A pressure-based regularized lattice-Boltzmann method for the simulation of compressible flows

Farag, G.; Zhao, Song; Coratger, T.; Boivin, Pierre; Chiavassa, Guillaume; Sagaut, Pierre

doi:10.1063/5.0011839

Cited by 52 publications

(113 citation statements)

References 71 publications

(61 reference statements)

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“…A correct agreement with experiments was also observed for the non linear evolution of the flame front. [6], and was adapted from [8], enhancing numerical stability. In particular, the pressure contribution θ is now inserted in the zero-th moment of (A.2) rather than higher moments as in [6].…”

Section: Resultsmentioning

confidence: 99%

“…Full expressions for f eq i , f neq i , F E i and their relation with the macroscopic variables are provided in AppendixA. Note that the expressions correspond to those presented in [6], with the addition of the recent developments presented in [8].…”

Section: Numerical Set-upmentioning

confidence: 99%

“…It can be shown via the Chapman-Enskog expansion [6,8] that the above system of equations is equivalent to solving the mass and momentum con-servation equations…”

Section: Numerical Set-upmentioning

confidence: 99%

“…Temporal integration of the FD equations is explicit first-order in time, but the global order of the method is close to second-order [6,8,12]. Further details on the coupling between the two solvers are available in our recent publications [6][7][8]12]. The species conservation equation reads…”

Section: Numerical Set-upmentioning

confidence: 99%

“…Among the tests in [6] was a preliminary study of the Darrieus-Landau instability of premixed flames, a very challenging test case for LB methods since it couples temperature and species fields to the velocity field. The underlying coupling between the Lattice-Boltzmann and finite differences solvers was further improved in [8], significantly improving the method stability.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Experimental and numerical Lattice-Boltzmann investigation of the Darrieus–Landau instability

Tayyab

Radisson

Almarcha

et al. 2020

Combustion and Flame

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We present an experimental and numerical investigation of the Darrieus-Landau instability in a quasi two-dimensional Hele-Shaw cell. Experiments and Lattice-Boltzmann numerical simulations are compared with Darrieus-Landau analytical theory, showing an excellent agreement for the exponential growth rate of the instability in the linear regime. The negative growth rate-second solution of the dispersion relation-was also measured numerically for the first time to the authors' knowledge. Experiments and numerical simulations were then carried out beyond the cutoff wavelength, providing good agreement even in the unexplored regime where Darrieus-Landau is supplanted by diffusive stabilization. Lastly, the non-linear evolution involving the merging of crests on the experimental flame front is also successfully recovered using both the Michelson-Sivashinsky equation integration and the Lattice-Boltzmann simulation.

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Section: Resultsmentioning

confidence: 99%

Section: Numerical Set-upmentioning

confidence: 99%

“…It can be shown via the Chapman-Enskog expansion [6,8] that the above system of equations is equivalent to solving the mass and momentum con-servation equations…”

Section: Numerical Set-upmentioning

confidence: 99%

Section: Numerical Set-upmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Experimental and numerical Lattice-Boltzmann investigation of the Darrieus–Landau instability

Tayyab

Radisson

Almarcha

et al. 2020

Combustion and Flame

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Development and validation of Navier–Stokes characteristic boundary conditions applied to turbomachinery simulations using the lattice Boltzmann method

Gianoli

Boussuge

Sagaut

et al. 2022

Numerical Methods in Fluids

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This article reports a procedure to implement as well as to validate non-reflecting boundary conditions applied for turbomachinery simulations, using Navier-Stokes characteristic boundary conditions in a compressible lattice Boltzmann solver. The implementation of both an inlet condition imposing total pressure, total temperature, and flow angles, as well as an outlet condition imposing a static pressure profile that allows the simulation to reach a simplified radial equilibrium, is described within the context of a lattice Boltzmann approach. The treatment at the boundaries relies on the characteristic methodology to derive conditions which are non-reflecting in terms of acoustics and is also compatible with turbulence injection at the inlet. These properties are evaluated on test cases of increasing complexity, ranging from a simple 2D periodic domain to an S-duct stage with turbulence injection.

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Compressible pressure-based Lattice-Boltzmann applied to humid air with phase change

Cheylan

Zhao

Boivin

et al. 2021

Applied Thermal Engineering

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A new compressible pressure-based Lattice Boltzmann Method is proposed to simulate humid air flows with phase change. The variable density and compressible effects are fully resolved, effectively lifting the Boussinesq approximation commonly used, e.g. for meteorological flows. Previous studies indicate that the Boussinesq assumption can lead to errors up to 25%, but the model remains common, for compressible models often suffer from a lack of stability. In order to overcome this issue, a new pressure-based solver is proposed, exhibiting excellent stability properties. Mass and momentum conservation equations are solved by a hybrid recursive regularized Lattice-Boltzmann approach, whereas the enthalpy and species conservation equations are solved using a finite volume method. The solver is based on a pressure-based method coupled with a predictor-corrector algorithm, and incorporates a humid equation of state, as well as a specific boundary condition treatment for phase change. In particular, boundary conditions that handle mass leakage are also proposed and validated. Three test cases are investigated in order to validate this new approach: the Rayleigh-Bénard instability applied to humid air, the atmospheric rising of a condensing moist bubble, and finally the evaporation of a thin liquid film in a vertical channel. Results indicate that the proposed pressure-based Lattice-Boltzmann model is stable and accurate on all cases.

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A pressure-based regularized lattice-Boltzmann method for the simulation of compressible flows

Cited by 52 publications

References 71 publications

Experimental and numerical Lattice-Boltzmann investigation of the Darrieus–Landau instability

Experimental and numerical Lattice-Boltzmann investigation of the Darrieus–Landau instability

Development and validation of Navier–Stokes characteristic boundary conditions applied to turbomachinery simulations using the lattice Boltzmann method

Compressible pressure-based Lattice-Boltzmann applied to humid air with phase change

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