A particle model on an unstructured mesh

We describe a particle in the cell scheme which incorporates finite elements in space and finite difference in time to follow the trajectories of particles in their self consistent fields. As such the model exploits the power of finite element techniques to better investigate the rich physics embedd...

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Bibliographic Details
Published in:Computer physics communications Vol. 90; no. 2; pp. 267 - 292
Main Authors: Kazeminezhad, F., Zalesak, S., Spicer, D.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 1995
Elsevier Science
Subjects:
Collisionless plasmas
Computational techniques
Exact sciences and technology
Finite-difference methods
Mathematical methods in physics
Physics
Plasma physics
Collisionless plasmas
Plasma physics
Field theories
Collisionless plasma
Trajectories
Particles
Conservation laws
Finite element method
Three dimensional model
Algorithms
Integrals
Numerical simulation
Hybrid model
Magnetic fields
Finite difference method
ISSN:0010-4655, 1879-2944
Online Access:Get full text
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Summary:We describe a particle in the cell scheme which incorporates finite elements in space and finite difference in time to follow the trajectories of particles in their self consistent fields. As such the model exploits the power of finite element techniques to better investigate the rich physics embedded in the particle or kinetic models. A brief description of the foundations of the hybrid model of kinetic ions and mass-less fluid electrons is first presented, followed by a brief summary of linear finite elements on triangles with relevance to the particle modeling. The particle trace method on triangular elements, particle to node density assignment, node to particle response, the scheme algorithm, numerical stability, and finally tests of the code via eigenmode analysis and comparison with the analytic theory and the structured simulation results are presented. The version presented here is a 2 1 2- dimensional one.
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ISSN:0010-4655
1879-2944
DOI:10.1016/0010-4655(95)00091-S