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 in | Journal of computational physics Vol. 123; no. 1; pp. 169 - 181 | 
|---|---|
| Main Authors | , , , , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
            Elsevier Inc
    
        01.01.1996
     | 
| Online Access | Get full text | 
| ISSN | 0021-9991 1090-2716  | 
| DOI | 10.1006/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. | 
    
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| 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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