Simulation of rare events by the stochastic weighted particle method for the Boltzmann equation

• Published in: Mathematical and computer modelling Vol. 33; no. 8; pp. 907 - 926
• Main Authors: Rjasanow, S., Wagner, W.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.04.2001; Elsevier Science
• Subjects: Boltzmann equation; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Integral equations; Mathematical analysis; Mathematics; Numerical experiments; Physics; Rare events; Rarefied gas dynamics; Sciences and techniques of general use; Stochastic particle method; Variance reduction; Stochastic particle method; Boltzmann equation; Rare events; Numerical experiments; Variance reduction; Gradient; Stochastic weighted particle method; Stochastic processes; Digital simulation; Boundary conditions; Two dimensional model; Numerical method; Computing; Stochastic method; Density; Rare event; Particles; Variance; Processing; Magnitudes; Kinetic equations; Collisions; Particle system; Inflow; Gain

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 conditions is introduced and its performance is tested in two-dimensional example with strong density gradients. A gain factor...