A Grid-Based Coulomb Collision Model for PIC Codes

A new method is presented to model the intermediate regime between collisionless and Coulomb collision dominated plasmas in particle-in-cell codes. Collisional processes between particles of different species are treated through the concept of a grid-based “collision field,” which can be particularl...

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Published inJournal of computational physics Vol. 123; no. 1; pp. 169 - 181
Main Authors Jones, Michael E., Lemons, Don S., Mason, Rodney J., Thomas, Vincent A., Winske, Dan
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.01.1996
Online AccessGet full text
ISSN0021-9991
1090-2716
DOI10.1006/jcph.1996.0014

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Abstract A new method is presented to model the intermediate regime between collisionless and Coulomb collision dominated plasmas in particle-in-cell codes. Collisional processes between particles of different species are treated through the concept of a grid-based “collision field,” which can be particularly efficient for multi-dimensional applications. In this method, particles are scattered using a force which is determined from the moments of the distribution functions accumulated on the grid. The form of the force is such to reproduce the multi-fluid transport equations through the second (energy) moment. Collisions between particles of the same species require a separate treatment. For this, a Monte Carlo-like scattering method based on the Langevin equation is used. The details of both methods are presented, and their implementation in a new hybrid (particle ion, massless fluid electron) algorithm is described. Aspects of the collision model are illustrated through several one- and two-dimensional test problems as well as examples involving laser produced colliding plasmas.
AbstractList A new method is presented to model the intermediate regime between collisionless and Coulomb collision dominated plasmas in particle-in-cell codes. Collisional processes between particles of different species are treated through the concept of a grid-based “collision field,” which can be particularly efficient for multi-dimensional applications. In this method, particles are scattered using a force which is determined from the moments of the distribution functions accumulated on the grid. The form of the force is such to reproduce the multi-fluid transport equations through the second (energy) moment. Collisions between particles of the same species require a separate treatment. For this, a Monte Carlo-like scattering method based on the Langevin equation is used. The details of both methods are presented, and their implementation in a new hybrid (particle ion, massless fluid electron) algorithm is described. Aspects of the collision model are illustrated through several one- and two-dimensional test problems as well as examples involving laser produced colliding plasmas.
The intermediate regime between collisionless and Coulomb collision-dominated plasmas in particle-in-cell (PIC) codes is modeled by a novel method invoking the concept of a grid-based 'collision field' that is notably efficient in the case of multidimensional applications. The particles are scattered by a force determined by the moments of the distribution functions accumulated on the grid; the form of the force is able to reproduce the multifluid transport equations through the second energy moment. A Monte Carlo-like scattering method based on the Langevin equation is employed. (AIAA)
Author Mason, Rodney J.
Lemons, Don S.
Winske, Dan
Jones, Michael E.
Thomas, Vincent A.
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Snippet A new method is presented to model the intermediate regime between collisionless and Coulomb collision dominated plasmas in particle-in-cell codes. Collisional...
The intermediate regime between collisionless and Coulomb collision-dominated plasmas in particle-in-cell (PIC) codes is modeled by a novel method invoking the...
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Title A Grid-Based Coulomb Collision Model for PIC Codes
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