A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules

Pirner, Marlies

doi:10.3390/fluids6110393

Cited by 9 publications

(2 citation statements)

References 54 publications

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“…Various strategies have been proposed in the literature in order to fix proper relaxation frequencies ν sr for various BGK models [4,8,28]. A recent review of existing BGK models for gas mixtures of monatomic and polyatomic particles may be found in [44].…”

Section: 2mentioning

confidence: 99%

A mixed Boltzmann–BGK model for inert gas mixtures

Bisi,

Groppi,

Lucchin

et al. 2024

KRM

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We propose a mixed Boltzmann-BGK model for mixtures of monatomic gases, where some kinds of collisions are described by bi-species Boltzmann operators and the others by the binary BGK terms given in [Bobylev et al., Kinetic and Related Models 11 (2018)], that is the relaxation model for mixtures with the closest structure to the Boltzmann one. At first, we assume that collisions occurring within the same species (intra-species) are modelled by Boltzmann operators, while interactions between different constituents (inter-species) are described by BGK terms. This option allows us to rigorously derive hydrodynamic equations not only in the classical collision dominated regime, but also in situations with intra-species collisions playing the dominant role (as in mixtures with very disparate particle masses). Then, we present a general form of this mixed Boltzmann-BGK model, characterized by further parameters allowing us to select which binary interactions have to be described by Boltzmann integrals or by BGK operators. We prove that this model preserves conservations of global momentum and energy, positivity of all temperatures and the validity of Boltzmann H-theorem, allowing us to conclude that the unique admissible equilibrium state is the expected Maxwellian distribution with all species sharing a common mean velocity and a common temperature.

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Section: 2mentioning

confidence: 99%

A mixed Boltzmann–BGK model for inert gas mixtures

Bisi,

Groppi,

Lucchin

et al. 2024

KRM

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“…Particularly difficult for a mixture of rarefied polyatomic gases object of the present study. On these subjects, see the recent works [4,5] and the review paper [6].…”

Section: Introductionmentioning

confidence: 99%

Sub-shock formation in shock structure of a binary mixture of polyatomic gases

Ruggeri

Taniguchi

2021

Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.

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We study the shock structure and the sub-shocks formation in a binary mixture of rarefied polyatomic gases, considering the dissipation only due to the dynamic pressure. We classify the regions depending on the concentration and the Mach number for which there may exist the sub-shock in the profile of shock structure in one or both constituents or not for prescribed values of the mass ratio of the constituents and the ratios of the specific heats. We compare the regions with the ones of the corresponding mixture of Eulerian gases and we perform the numerical calculations of the shock structure for typical cases previously classified and confirm whether sub-shocks emerge.

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