[PDF] Top 20 A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation

... propose a new Asymptotic Preserving Monte Carlo method which solves the Boltzmann equation of gas ...address the complexity of the ... Voir le document complet

... of the new gPC based MC scheme is closely related to the insensitiveness of an increase of dimension of the tracking of the MC particles together with the fast convergence rate ... Voir le document complet

... 2. the steady state of (6) is given by g = ...preserves asymptotic behaviors of some kinetic models. To illustrate the equilibrium preserving spectral method, let us consider now ... Voir le document complet

... to the scales at stake, see [ 8 ...], the authors explicitly claim the need for a new stable ...], a stochastic implicit Euler scheme ensuring stability for ... Voir le document complet

... C. Le Loirec 1 , J. C. Garcia-Hernandez 1 , G. Bonniaud 2 , L. Guérin 3 , A. Batalla 3 , B. Poumarède 1 and D. Lazaro 1 cindy.le-loirec@cea.fr 1 CEA, LIST, Laboratoire Modélisation, Simulation et Systèmes, ... Voir le document complet

... to the numerical approximation of the spatially extended FitzHugh-Nagumo transport equation with strong local interactions based on a particle ...regime, the time step can be subject to ... Voir le document complet

... approach for special equations is given by particle ...gives a third way to deal with this problem. As usual, the presence of the gradient in the diffusion coefficient is the ... Voir le document complet

... analyzed a new class of Fourier-Galerkin spectral methods for kinetic equations that can preserve the moments of the distri- bution ...function. The method was introduced ... Voir le document complet

... terms, the exponential extinction term does not depend on the real extinc- tion coefficient anymore, but only on the arbitrary field ˆ ...Thereby, the absorption coefficient appears only in ... Voir le document complet

... when the number of points needed to perform a simulation grows in the case the Boltz- mann operator is used, the above implementation strategies on shared memory systems are not ... Voir le document complet

... decisions, the accurate prediction of complex workload execution is hampered by the inherent variability of clouds, explained by multiple ...fashion: the exact nature of the underlying ... Voir le document complet

... knowledge, the question of computing corresponding parametric sensitivities has not yet been ...with Monte Carlo methods, provided that the underlying integral formulation is ...seldom ... Voir le document complet

... consider the semiclassical limit for the nonlinear Schrödinger ...introduce a phase/amplitude representation given by a system similar to the hydrodynamical formulation, whose ... Voir le document complet

... propose a discretization based on an explicit/implicit methodology of the compressible Euler equations and a Godunov type scheme through the use of a simple Rusanov solver (see [11], ... Voir le document complet

... of the model. The validation is done while eliminating the observed urban cells at the initial time-step from the spatial ...extent. The goodness of fit of the logit model ... Voir le document complet

... coupling for Boltzmann- BGK-like equations in the diffusion scaling Ana¨ıs Crestetto, Nicolas Crouseilles and Mohammed Lemou Abstract This work is devoted to the numerical simulation of ... Voir le document complet

... Nasrallah, "Application ofthe lattice Boltzmann method for solving conduction problems with heat flux boundary condition," presented at International Renewable Er[r] ... Voir le document complet

... is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or ...not. The documents may come from teaching ... Voir le document complet

... Formulation A typical difficulty that is encountered by any standard MCM (both bundle transport and path integrated MC algorithms) 1 is the problem of optically thick ...consider the computation of ... Voir le document complet

... to the construction of a numerical scheme for the simulation of the quasi-neutral Euler– Boltzmann system: such a model represents the evolution of an unmagnetized ... Voir le document complet