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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Vydané v:	Computer physics communications Ročník 90; číslo 2; s. 267 - 292
Hlavní autori:	Kazeminezhad, F., Zalesak, S., Spicer, D.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 1995 Elsevier Science
Predmet:	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
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Abstract	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.
AbstractList	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 one half -dimensional one. 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.
Author	Kazeminezhad, F. Spicer, D. Zalesak, S.
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Keywords	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
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SubjectTerms	Collisionless plasmas Computational techniques Exact sciences and technology Finite-difference methods Mathematical methods in physics Physics Plasma physics
Title	A particle model on an unstructured mesh
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