Simulation of rare events by the stochastic weighted particle method for the Boltzmann equation
An extension of the stochastic weighted particle method for the numerical treatment of the Boltzmann equation is presented. A new procedure for modelling the inflow boundary condition is introduced and its performance is tested in a two-dimensional example with strong density gradients. A gain factor in computing time of several orders of magnitude is achieved in specific situations. (C) 2001 Elsevier Science Ltd. All rights reserved.
rare events boltzmann equation stochastic particle method variance reduction numerical experiments