Weighted Particles in Coulomb Collision Simulations Based on the Theory of a Cumulative Scattering Angle

Nanbu, Kenichi; Yonemura, Shigenobu

doi:10.1006/jcph.1998.6049

Cited by 145 publications

(101 citation statements)

References 13 publications

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“…Most of the particle methods for Coulomb interaction, although extensively used, have been derived more on a physical intuition basis and not directly from the Landau equation. A detailed discussion about this is beyond the aims of the present paper and we refer the reader to [4,32] for a more complete treatment and a recent review. Several deterministic numerical approaches have been considered to Fokker-Plancktype equations [2, 5, 7-9, 15, 17, 20, 21, 26, 27, 29, 41, 46].…”

Section: Introductionmentioning

confidence: 98%

A Numerical Method for the Accurate Solution of the Fokker–Planck–Landau Equation in the Nonhomogeneous Case

Filbet¹,

Pareschi

2002

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 98%

A Numerical Method for the Accurate Solution of the Fokker–Planck–Landau Equation in the Nonhomogeneous Case

Filbet¹,

Pareschi

2002

Journal of Computational Physics

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“…An example of such an algorithm for Coloumb collisions in PIC simulations is given by Nanbu and Yonemura [5].…”

Section: Introductionmentioning

confidence: 99%

Accelerating a Particle-in-Cell Simulation Using a Hybrid Counting Sort

Bowers¹

2001

Journal of Computational Physics

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“…Although the concept of differentially weighted simulation particles is widely applied in the classical DSMC for the computation of nonequilibrium gas flows (Boyd 1996) and Coulomb collisions in plasmas (Nanbu and Yonemura 1998), it is seldom adopted by PBE-MC for particle dynamics. Wagner and his coworkers (Eibeck and Wagner 2001) first introduced stochastic weighted particle systems for coagulation dynamics and then constructed efficient fictitious Markov jumps by replacing the normal coagulation kernel with the majorant kernel.…”

Section: Introductionmentioning

confidence: 99%

Reducing Statistical Noise and Extending the Size Spectrum by Applying Weighted Simulation Particles in Monte Carlo Simulation of Coagulation

Kruis

Chen

2009

Aerosol Science and Technology

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The direct simulation Monte Carlo (DSMC) method is widely utilized to simulate microscopic dynamic processes in dispersed systems that give rise to the population balance equation. In conventional DSMC approaches, simulation particles are equally weighted, even for broad size distributions where number concentrations in different size intervals are significantly different. The resulting statistical noise and limited size spectrum severely restrict the application of these DSMC methods. This study proposes a new Monte Carlo (MC) method, the differentially weighted timedriven method, which captures the coagulation dynamics in dispersed systems with low noise and is simultaneously able to track the size distribution over the full size range. Key elements of this method include constructing a new jump Markov process based on a new coagulation rule for two differentially weighted simulation particles, and restricting the number of simulation particles in each size interval within prescribed bounds. The method is validated by using an ideal coagulation kernel with a known analytical solution and a real coagulation kernel for which an accurate solution can be found numerically (self-preserving particle size distribution in the continuum regime).

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Weighted Particles in Coulomb Collision Simulations Based on the Theory of a Cumulative Scattering Angle

Cited by 145 publications

References 13 publications

A Numerical Method for the Accurate Solution of the Fokker–Planck–Landau Equation in the Nonhomogeneous Case

A Numerical Method for the Accurate Solution of the Fokker–Planck–Landau Equation in the Nonhomogeneous Case

Accelerating a Particle-in-Cell Simulation Using a Hybrid Counting Sort

Reducing Statistical Noise and Extending the Size Spectrum by Applying Weighted Simulation Particles in Monte Carlo Simulation of Coagulation

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