Vector Implementation of Nonlinear Monte Carlo Coulomb Collisions
01 Oct 1996-Journal of Computational Physics (Academic Press Professional, Inc.)-Vol. 128, Iss: 1, pp 209-222
TL;DR: In this article, a nonlinear collision model based on Coulomb binary collisions is presented with emphasis on its efficient implementation, which fulfills particle number, momentum and energy conservation laws quasi-locally and is equivalent to the nonlinear Fokker?Planck operator in the limit of infinitesimally small time interval of the binary collisions.
About: This article is published in Journal of Computational Physics.The article was published on 1996-10-01. It has received 14 citations till now. The article focuses on the topics: Monte Carlo method & Dynamic Monte Carlo method.
Citations
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TL;DR: In this paper, the authors summarize the recent work of an European-wide collaboration which has been ongoing since about one decade using Particle-in-Cell (PIC) methods in low temperature plasma physics.
Abstract: This paper is the first in a series of three papers to summarize the recent work of an European-wide collaborationwhich is ongoing since about one decade using Particle-in-Cell (PIC) methods in low temperature plasma physics. In the present first paper the main aspects of this computational technique will be presented. In the second paper, an overview of applications in low-temperature plasma modelling will be given, whereas the third part will put emphasis on the specific results of modelling ion thrusters. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
206 citations
TL;DR: In this paper, a Coulomb collision algorithm for weighted particles is proposed, which is based on the cumulative property of Coulomb collisions in plasmas, and the law of scattering is given by the exponential cosine function.
131 citations
TL;DR: A simple method is described for optimization of particle-in-cell codes by improved memory management that includes a faster calculation of Monte-Carlo collision operators and it is demonstrated that the CPU time can be reduced by a factor of 2 and more without reduction of the simulation accuracy.
60 citations
TL;DR: A procedure for implementing Coulomb collisions into hybrid (particle-fluid) plasma models is outlined which is rapid in execution due to the use of approximate expressions for the collision integrals and conserves energy and momentum exactly.
45 citations
TL;DR: In this paper, the development of Monte Carlo schemes for rarefied gas dynamics with Coulomb interactions was considered, where instead of considering the original Boltzmann collision operator, the schemes are constructed through the use of an approximated Boltzman operator.
Abstract: We consider the development of Monte Carlo schemes for molecules with Coulomb interactions. We generalize the classic algorithms of Bird and Nanbu-Babovsky for rarefied gas dynamics to the Coulomb case thanks to the approximation introduced by Bobylev and Nanbu [A. V. Bobylev and K. Nanbu, Theory of collision algorithms for gases
and plasmas based on the Boltzmann equation and the Landau-Fokker-Planck equation, Physical Review E, vol. 61, no. 4, pp. 4576–4586, 2000.]. Thus, instead of considering the original Boltzmann collision operator, the schemes are constructed through the use of an approximated Boltzmann operator. With the above choice larger time steps are possible in simulations; moreover the expensive acceptance-rejection procedure for collisions is avoided and every particle collides. Error analysis and comparisons with the original Bobylev-Nanbu (BN) scheme are performed. The numerical results show agreement with the theoretical convergence rate of the approximated Boltzmann operator and the better performance of Bird-type schemes with respect to the original scheme.
12 citations
References
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TL;DR: This work reports the first successful use of the weighted algorithms in particle codes for the nonlinear simulation of plasmas, and makes it possible to regulate the weights of the fast-moving particles and, in turn, to eliminate the associated high frequency oscillations.
157 citations
TL;DR: In this article, the authors compared the δf and particle simulation methods for parametric instabilities in a 1D unmagnetized plasma and showed that doubling the number of particles in the particle simulation does not significantly alter the growth rates.
9 citations