Boltzmann collision term
نویسندگان
چکیده
منابع مشابه
Some Estimates on the Boltzmann Collision Operator
The paper presents some new estimates on the gain term of the Boltzmann collision operator. For Maxwellian molecules, it is shown that the L 1 {norm of the gain term can be bounded in terms of the L 1 and L 1 {norm of the density function f. In the case of more general collision kernels, like the hard{sphere interaction potential, the gain term is estimated pointwise by the L 1 {norm of the den...
متن کاملConvolution Inequalities for the Boltzmann Collision Operator
In this paper we study the integrability properties of a general version of the Boltzmann collision operator that includes inelastic interactions between particles. We prove a Young’s inequality for variable hard potentials, a Hardy-Littlewood-Sobolev inequality for soft potentials, and estimates with Maxwellian weights for variable hard potentials. In addition we obtain sharp constants for Max...
متن کاملFast methods for the Boltzmann collision integral∗
In this note we present methods for the development of fast numerical schemes for the Boltzmann collision integral. These schemes are based on a combination of a Carleman-like representation together with a suitable angular approximation. For the hard spheres model in dimension three, we are able to derive spectral methods that can be evaluated through fast algorithms. Estimates for the errors ...
متن کاملLattice Boltzmann method with regularized pre-collision distribution functions
An extended numerical scheme for the simulation of fluid flows by means of a lattice Boltzmann (LB) method is introduced. It is conceptually related to the lattice BGK scheme, which it enhances by a regularization step. The result is a numerical scheme that is both more accurate and more stable in the hydrodynamic regime.
متن کاملSpectral-Hermite Approximation of the Linearized Boltzmann Collision
A sequence of approximate linear collision models for hard-sphere and inverse-power-law gases is introduced. These models are obtained by expanding the linearized Boltzmann collision operator into a Hermite series, and a practical algorithm is proposed for evaluating the coefficients in the series. The sequence approximates the linearized Boltzmann operator to high accuracy, and it establishes ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2006
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.73.025005