Kinetic-diffusion asymptotic-preserving Monte Carlo algorithm for Boltzmann-BGK in the diffusive scaling.
作者： Bert Mortier , Martine Baelmans , Giovanni Samaey
关键词: Rate of convergence 、 Scaling 、 Boltzmann constant 、 Monte Carlo algorithm 、 Physics 、 Monte Carlo method 、 Collisionality 、 Random walk 、 Statistical physics 、 Diffusion (business)
摘要: … We develop a novel Monte Carlo strategy for the simulation of the BoltzmannBGK model with both low-collisional and high-collisional regimes present. The presented solution to …
arxiv.org
sci-hub.se 参考文章(32)
Timothy R Deschenes, Iain D Boyd, Hybrid Particle-Continuum Numerical Methods for Aerospace Applications ,(2011)
Peter C Stangeby, The Plasma Boundary of Magnetic Fusion Devices ,(2000)
Shi Jin, Lorenzo Pareschi, Giuseppe Toscani, Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations SIAM Journal on Numerical Analysis. ,vol. 35, pp. 2405- 2439 ,(1998) , 10.1137/S0036142997315962
Giovanni Naldi, Lorenzo Pareschi, Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation SIAM Journal on Numerical Analysis. ,vol. 37, pp. 1246- 1270 ,(2000) , 10.1137/S0036142997328810
Hans G. Othmer, Thomas Hillen, The diffusion limit of transport equations derived from velocity-jump processes Siam Journal on Applied Mathematics. ,vol. 61, pp. 751- 775 ,(2000) , 10.1137/S0036139999358167
Giacomo Dimarco, Lorenzo Pareschi, High order asymptotic-preserving schemes for the Boltzmann equation Comptes Rendus Mathematique. ,vol. 350, pp. 481- 486 ,(2012) , 10.1016/J.CRMA.2012.05.010
Giacomo Dimarco, Lorenzo Pareschi, Hybrid Multiscale Methods II. Kinetic Equations Multiscale Modeling & Simulation. ,vol. 6, pp. 1169- 1197 ,(2008) , 10.1137/070680916
Christoph Börgers, Edward W. Larsen, Marvin L. Adams, The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation Journal of Computational Physics. ,vol. 98, pp. 285- 300 ,(1992) , 10.1016/0021-9991(92)90143-M
M. Hossein Gorji, Patrick Jenny, An efficient particle Fokker-Planck algorithm for rarefied gas flows Journal of Computational Physics. ,vol. 262, pp. 325- 343 ,(2014) , 10.1016/J.JCP.2013.12.046
Jeffery D. Densmore, Todd J. Urbatsch, Thomas M. Evans, Michael W. Buksas, A hybrid transport-diffusion method for Monte Carlo radiative-transfer simulations Journal of Computational Physics. ,vol. 222, pp. 485- 503 ,(2007) , 10.1016/J.JCP.2006.07.031