The Boltzmann Equation
Deviational particle Monte Carlo for the Boltzmann equation
... (cf. [3, 10, 17]). DSMC is a general simulation method based on a stochastic particle system that imitates the behavior of a real gas. In the particular situation described by the Boltzmann equation (1.1) ...
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Distributional Monte Carlo Methods for the Boltzmann Equation
... The Boltzmann equation The Boltzmann equation ...governing equation of kinetic ...Ludwig Boltzmann [23] at a time when the atomic makeup of matter was not an accepted ...the ...
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Assessment and development of the gas kinetic boundary condition for the Boltzmann equation
... the Boltzmann equation with simple experiments, the kinetic boundary condition can be used in gas micro-electro-mechanical systems with complex geometries and flow ...
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A kinetic model of the Boltzmann equation for non-vibrating polyatomic gases
... This paper is organized as follows. In § 2, the Rykov kinetic model of the Boltzmann equation for non-vibrating diatomic gases is introduced, and then extended to polyatomic gases. A new kinetic model for ...
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A fast spectral method for the Boltzmann equation for monatomic gas mixtures
... the Boltzmann equation for single-species monatomic gases, its extension to gas mixtures is not easy because of the non-unitary mass ratio between the di↵erent molecular ...the Boltzmann collision ...
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A Fokker-Planck model of the Boltzmann equation with correct Prandtl number
... CNRS, IMB, UMR 5251, F-33400 Talence, France. INRIA, F-33400 Talence, France. ([email protected]) Abstract: We propose an extension of the Fokker-Planck model of the Boltzmann equation to ...
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Assessment and development of the gas kinetic boundary condition for the Boltzmann equation
... the Boltzmann equation with simple experiments, the kinetic boundary condition can be used in gas micro-electro-mechanical systems with complex geometries and flow ...
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Global Existence and Full Regularity of the Boltzmann Equation Without Angular Cutoff
... OF THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF R. ALEXANDRE, Y. MORIMOTO, S. UKAI, C.-J. XU, AND T. YANG A. We prove the global existence and uniqueness of classical solutions around an equilibrium ...
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method
... space-homogeneous Boltzmann equation with the exact Bobylev-Krook-Wu solutions for a gas of Maxwell ...space-inhomogeneous Boltzmann equation, where the numerical errors decay ...the ...
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A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases
... the Boltzmann equation to get a correct Prandtl number in the Compressible Navier-Stokes asymptotics for polyatomic ...the Boltzmann equation, and by adding a diffusion term for the internal ...
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Influence of intermolecular potentials on rarefied gas flows : fast spectral solutions of the Boltzmann equation
... VI. CONCLUSIONS We have presented a general fast spectral method to solve the Boltzmann equation with arbi- trary intermolecular potentials. Specifically, through comparison with results from the ...
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BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy
... v − 1, µ = τ 2 ρT , and κ = 2 3 µc p (T ), which is the announced result, in a non-dimensional form. 6 Conclusion In this paper, we have proposed to different models (BGK and Fokker-Planck) of the Boltzmann ...
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An Inverse Problem for the Boltzmann Equation
... These nonlinear terms highly depend on the velocity u, v, u 0 , v 0 before and after the collisions. After performing a classical linearization method, the inverse problem for the nonlinear Boltzmann ...
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On the effects of the reactive terms in the Boltzmann equation
... Abstract. The effects of the production and loss mecha- nisms that affect the Boltzmann equations are considered by the inclusion of a reactive term. The necessary elements to develop a proper form for this term ...
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Über Lösungsverfahren für die Boltzmann Gleichung EUR 217 = About the solution method for the Boltzmann equation EUR 217
... An exclusive system of selection functions, suitable for concrete reactor problems, provides a clear and simple method of calculating criticality and neutron flux.. European Atomic Ene[r] ...
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Solving the Boltzmann equation deterministically by the fast spectral method : application to gas microflows
... the Boltzmann collision operator, we present an accurate and efficient deterministic numerical method for solving the Boltzmann equa- ...linearised Boltzmann equation is solved for Poiseuille ...
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A fast iterative scheme for the linearized Boltzmann equation
... the Boltzmann equation are efficient for highly rarefied gas flows, but can be very slow to converge in the near-continuum flow ...linearized Boltzmann equation by penalizing the collision operator ...
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The derivation of the linear Boltzmann equation from a Rayleigh gas particle model
... the Boltzmann equation from atomistic particle ...the Boltzmann equation for short times for both hard-sphere and short-range ...linear Boltzmann equation for arbitrary long ...
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Computable model on the collision integral of Boltzmann equation and application to rarefied aerodynamics
... the Boltzmann equation and computational costs asso- ciated with multi-dimensional problems, deterministic methods are still restricted to simple flow such as one-dimensional linear ...extended ...
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The concept of mass-density in classical thermodynamics and the Boltzmann kinetic equation for dilute gases
... the Boltzmann equation, where the mass-density has no randomized component or, more precisely, is associated with the “constant random variable”, ...
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