Surface effects in rarefied gas dynamics: an analysis based on the Cercignani–Lampis boundary condition

Knackfuss, Rosenei Felippe; Barichello, Liliane Basso

doi:10.1016/j.euromechflu.2005.04.003

Cited by 13 publications

(13 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…To establish some confidence in our numerical results, we found stability in the results as we varied the only approximation parameter N from 20 to 100. Additional confidence in this work (analytical and numerical) has been achieved through the supporting work of Garcia [23], Knackfuss and Barichello [24] and Thomas [25]. In fact, Garcia [23] has confirmed all of the analytical derivations and all of the numerical results that are reported in this work.…”

Section: Numerical Resultssupporting

confidence: 69%

“…[9], for example), there is a (very slight) difference in the results from the BGK and the S kinetic models for the density and temperature perturbations within the gas. The observation that the S model and the BGK model yield different temperature and density distributions within the gas has been confirmed by the very recent work of Knackfuss and Barichello [24].…”

Section: Numerical Resultssupporting

confidence: 62%

See 1 more Smart Citation

The McCormack model for gas mixtures: The temperature-jump problem

Siewert

2005

Z. angew. Math. Phys.

View full text Add to dashboard Cite

An analytical version of the discrete-ordinates method (the ADO method) is used to establish a concise and particularly accurate solution to the temperature-jump problem for a binary gas mixture described by the McCormack kinetic model. The solution yields, in addition to the temperature-jump coefficient for the general (specular-diffuse) case of Maxwell boundary conditions for each of the two species, the density and temperature profiles for both types of particles. Numerical results are reported for two binary mixtures (Ne-Ar and He-Xe) with various molar concentrations. The algorithm is considered especially easy to use, and the developed (FORTRAN) code requires typically less than a second on a 2.2 GHz Pentium 4 machine to compute all quantities of interest.

show abstract

Section: Numerical Resultssupporting

confidence: 69%

Section: Numerical Resultssupporting

confidence: 62%

The McCormack model for gas mixtures: The temperature-jump problem

Siewert

2005

Z. angew. Math. Phys.

View full text Add to dashboard Cite

show abstract

“…We note that, results for the Cercignani-Lampis kernel have been also recently obtained [32,35,13], although we are not going to treat this case, in this work.…”

Section: Introductionmentioning

confidence: 94%

An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics. I. Flow problems

Scherer

Filho

Barichello

2008

Z. angew. Math. Phys.

View full text Add to dashboard Cite

The ADO method, an analytical version of the discrete-ordinates method, is used to solve several classical problems in the rarefied gas dynamics field. The complete development of the solution, which is analytical in terms of the spatial variable, is presented in a way, such that, a wide class of kinetic models are considered, in an unified approach. A series of numerical results are showed and different simulations are used in order to establish a general comparative analysis based on this consistent set of results provided by the same methodology.

show abstract

“…There are other derivations of C-L model besides the original one, and we refer interested readers to [5,3,2]. Also there have been many application of this model in recent years, on the rarefied gas flow in [16,17,22,23,24]; extension to the gas surface interaction model in fluid dynamics [19,18,27]; on the linearized Boltzmann equation in [10,26,20,9]; on S-model kinetic equation in [25] etc.…”

Section: Introductionmentioning

confidence: 99%

Cercignani-Lampis boundary in the Boltzmann theory

Chen¹

2020

Kinetic &Amp; Related Models

View full text Add to dashboard Cite

The Boltzmann equation is a fundamental kinetic equation that describes the dynamics of dilute gas. In this paper we study the local well-posedness of the Boltzmann equation in bounded domain with the Cercignani-Lampis boundary condition, which describes the intermediate reflection law between diffuse reflection and specular reflection via two accommodation coefficients. We prove the local-in-time well-posedness of the equation by establishing an L ∞ estimate. In particular, for the L ∞ bound we develop a new decomposition on the boundary term combining with repeated interaction through the characteristic. Via this method, we construct a unique steady solution of the Boltzmann equation with constraints on the wall temperature and the accommodation coefficient.

show abstract

Surface effects in rarefied gas dynamics: an analysis based on the Cercignani–Lampis boundary condition

Cited by 13 publications

References 24 publications

The McCormack model for gas mixtures: The temperature-jump problem

The McCormack model for gas mixtures: The temperature-jump problem

An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics. I. Flow problems

Cercignani-Lampis boundary in the Boltzmann theory

Contact Info

Product

Resources

About