An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps

DOI10.1016/j.physa.2015.07.003zbMath1400.76068OpenAlexW1845272519WikidataQ64450475 ScholiaQ64450475MaRDI QIDQ1618848

Thomas Önskog, Jun Zhang

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.07.003

zbMATH Keywords

boundary conditionsFokker-Planck equationstochastic differential equationsfirst hitting timeLangevin simulationrarified gas flows

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Fokker-Planck equations (35Q84)

Related Items (2)

A Particle Fokker-Planck Algorithm with Multiscale Temporal Discretization for Rarefied and Continuum Gas Flows ⋮ Particle simulation of nonequilibrium gas flows based on ellipsoidal statistical Fokker-Planck model

Cites Work

• A diffusive information preservation method for small Knudsen number flows
• An efficient particle Fokker-Planck algorithm for rarefied gas flows
• A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion
• Analysis of transport properties determined by Langevin dynamics using Green-Kubo formulae
• Comment on analysis of transport properties determined by Langevin dynamics using Green-Kubo formulae
• Statistical error in particle simulations of hydrodynamic phenomena.
• Fokker–Planck model for computational studies of monatomic rarefied gas flows
• Time step truncation error in direct simulation Monte Carlo
• Euler schemes and half-space approximation for the simulation of diffusion in a domain

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