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[PDF] Top 20 A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation

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A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation

A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation

... words: BGK equation, Euler equations, entropy minimization principle, kinetic- hydrodynamic coupling, numerical ...rarefied gas dynamics, for strongly non-equilibrium situations, ... Voir le document complet

39

A hybrid kinetic-fluid model for solving the Vlasov-BGK equation

A hybrid kinetic-fluid model for solving the Vlasov-BGK equation

... of a hydrodynamic (or fluid) model, and restricting the use of the kinetic model to the modelling of fast ...In a previous paper ([13], see also [12]), ... Voir le document complet

36

An efficient numerical method for solving the Boltzmann equation in multidimensions

An efficient numerical method for solving the Boltzmann equation in multidimensions

... 19] for the transport part coupled with spectral methods [20] for the interaction ...tackle the challenges related to the high dimensionality of the equations and with ... Voir le document complet

40

A Local Velocity Grid Approach for BGK Equation

A Local Velocity Grid Approach for BGK Equation

... reached. For large Knudsen number (usually higher than 10 −2 ), the regime is qualified as rarefied and the governing equation is the Boltzmann equation ...rarefied ... Voir le document complet

31

Integral representation of the linear Boltzmann operator for granular gas dynamics with applications

Integral representation of the linear Boltzmann operator for granular gas dynamics with applications

... that the steady state of the collision operator is a Maxwellian ...distribution. The linear Boltzmann equation for dissipative interactions concerns dilute particles (test ... Voir le document complet

21

KINETIC/FLUID MICRO-MACRO NUMERICAL SCHEME FOR A TWO COMPONENT GAS MIXTURES

KINETIC/FLUID MICRO-MACRO NUMERICAL SCHEME FOR A TWO COMPONENT GAS MIXTURES

... to model the time evolution of the distribution functions by BGK equa- ...one BGK equation to describe its time evolution. The two equations are coupled through a ... Voir le document complet

29

A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation

A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation

... introduce a new Monte Carlo method for solving the Boltzmann model of rarefied gas ...dynamics. The method works by reformulating the original problem ... Voir le document complet

37

BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy

BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy

... Fokker-Planck model, BGK model, H-theorem, Rarefied Gas Dynamics, vibrational molecules 1 Introduction Numerical simulation of atmospheric reentry flows requires to solve the ... Voir le document complet

21

An ES-BGK model for vibrational polyatomic gases

An ES-BGK model for vibrational polyatomic gases

... reentry a space vehicle encounters several atmospheric layers at high velocity; it is crit- ical to estimate heat fluxes to design its heat ...macroscopic fluid dynamics equations become non valid; ... Voir le document complet

30

DIFFUSION LIMIT FOR A KINETIC EQUATION WITH A THERMOSTATTED INTERFACE

DIFFUSION LIMIT FOR A KINETIC EQUATION WITH A THERMOSTATTED INTERFACE

... by the assumption ( 1.6 ) and the properties of R(k, k ′ ) made in section .... The result implies that only the absorption and the creation of phonons at the interface matter in ... Voir le document complet

14

A thermodynamically consistent model of a liquid-vapor fluid with a gas

A thermodynamically consistent model of a liquid-vapor fluid with a gas

... perfect gas laws). Moreover it is well known, see for instance [ 32 , 28 , 4 ], that such pressure laws present pathologies such that slope discontinuities, lack of con- vexity of the isentropes, ... Voir le document complet

21

A thermodynamically consistent model of a liquid-vapor fluid with a gas

A thermodynamically consistent model of a liquid-vapor fluid with a gas

... compute the mass fraction of the vapor and then deduces the other quantities, notably the mixture pressure as a function of the mean specific volume, the mean internal ... Voir le document complet

23

Diffusion limit for a kinetic equation with a thermostatted interface

Diffusion limit for a kinetic equation with a thermostatted interface

... to the probabilities of the phonon being reflected, or transmitted, by the ...interface. The quantity T g(k) is the phonon production rate by the thermostat as well as the ... Voir le document complet

14

A fluid model with finite Larmor radius effects for mirror mode dynamics

A fluid model with finite Larmor radius effects for mirror mode dynamics

... Landau fluid models including small-scale finite Larmor radius (FLR) corrections are necessary to accurately capture the quenching of the instability at these ...scales. The main goal of ... Voir le document complet

16

Adjoint Lattice Boltzmann Equation for Parameter Identification

Adjoint Lattice Boltzmann Equation for Parameter Identification

... test the ability of the proposed method to determine a large number (p) of unknown ...case for each set of unknown parameters for which the gradients are required, one needs one ... Voir le document complet

16

A gas dynamics scheme for a two moments model of radiative transfer

A gas dynamics scheme for a two moments model of radiative transfer

... is the observation [ 12 ] that moment models for anisotropic flows are isotropic if we rewrite the equations in an appropriate moving ...at the level of principles. We use this idea in our ... Voir le document complet

29

Asymptotic solution of the Boltzmann-Krook equation for the Rayleigh flow

Asymptotic solution of the Boltzmann-Krook equation for the Rayleigh flow

... Corresponding heat transfer rate on the surface caused by both the heat con- duction and the recombination process on the catalytic surface is obtained until the [r] ... Voir le document complet

109

On the Boltzmann-Grad limit for the two dimensional periodic Lorentz gas

On the Boltzmann-Grad limit for the two dimensional periodic Lorentz gas

... FOR THE TWO DIMENSIONAL PERIODIC LORENTZ GAS EMANUELE CAGLIOTI AND FRANC ¸ OIS GOLSE ...Abstract. The two-dimensional, periodic Lorentz gas, is the dynamical sys- tem ... Voir le document complet

44

On a Boltzmann mean field model for knowledge growth

On a Boltzmann mean field model for knowledge growth

... analyze a Boltzmann type mean field game model for knowl- edge growth, which was proposed by Lucas and Moll ...discuss the underlying mathematical model, which consists of ... Voir le document complet

20

Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the Torus

Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the Torus

... therefore the Hessian is positive definite so ˜ φ is ...strategy for the ...closing a Gr¨ onwall estimate on a functional that we ...from the components of Fisher information and ... Voir le document complet

18

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