Generation of the Chapman–Enskog Distribution
نویسندگان
چکیده
منابع مشابه
Chapman-enskog method and synchronization of globally coupled oscillators
The Chapman-Enskog method of kinetic theory is applied to two problems of synchronization of globally coupled phase oscillators. First, a modified Kuramoto model is obtained in the limit of small inertia from a more general model that includes "inertial" effects. Second, a modified Chapman-Enskog method is used to derive the amplitude equation for an O(2) Takens-Bogdanov bifurcation correspondi...
متن کاملInitialization of Lattice Boltzmann Models with the Help of the Numerical Chapman-Enskog Expansion
We extend the applicability of the numerical Chapman–Enskog expansion as a lifting operator for lattice Boltzmann models to map density and momentum to distribution functions. In earlier work [Vanderhoydonc et al. Multiscale Model. Simul. 10(3): 766-791, 2012] such an expansion was constructed in the context of lifting only the zeroth order velocity moment, namely the density. A lifting operato...
متن کاملThree-dimensional Lorentz model in a magnetic field : exact and Chapman-Enskog solutions
We derive the exact solution of the Boltzmann kinetic equation for the three-dimensional Lorentz model in the presence of a constant and uniform magnetic field. The velocity distribution of the electrons reduces exponentially fast to its spherically symmetric component. In the long time hydrodynamic limit there remains only the diffusion process governed by an anisotropic diffusion tensor. The ...
متن کاملNumerical Extraction of a Macroscopic PDE and a Lifting Operator from a Lattice Boltzmann Model
Lifting operators play an important role in starting a lattice Boltzmann model from a given initial density. The density, a macroscopic variable, needs to be mapped to the distribution functions, mesoscopic variables, of the lattice Boltzmann model. Several methods proposed as lifting operators have been tested and discussed in the literature. The most famous methods are an analytically found l...
متن کاملOn computing the Chapman–Enskog functions for viscosity and heat transfer and the Burnett functions
Hermite cubic splines and collocation are used to solve, in an e7cient and accurate way, the Chapman– Enskog equations for viscosity and heat transfer and to compute the Burnett functions required for Poiseuille:ow problems based on rigid-sphere collisions and the linearized Boltzmann equation. ? 2002 Elsevier Science Ltd. All rights reserved.
متن کامل