Asymptotic-Preserving Particle-In-Cell method for the Vlasov–Poisson system near quasineutrality
This paper deals with the numerical resolution of the Vlasov–Poisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime, Classical PIC methods are subject to stability constraints on the time and space steps related to the small Debye length and large plasma fre...
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| Published in | Journal of computational physics Vol. 229; no. 16; pp. 5630 - 5652 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Inc
2010
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| Online Access | Get full text |
| ISSN | 0021-9991 1090-2716 |
| DOI | 10.1016/j.jcp.2010.04.001 |
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| Abstract | This paper deals with the numerical resolution of the Vlasov–Poisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime, Classical PIC methods are subject to stability constraints on the time and space steps related to the small Debye length and large plasma frequency. Here, we propose an “Asymptotic-Preserving” PIC scheme which is not subjected to these limitations. Additionally, when the plasma period and Debye length are small compared to the time and space steps, this method provides a consistent PIC discretization of the quasineutral Vlasov equation. We perform several one-dimensional numerical experiments which provide a solid validation of the method and its underlying concepts, and compare the method with Classical PIC and Direct-Implicit methods. |
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| AbstractList | This paper deals with the numerical resolution of the Vlasov-Poisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime, Classical PIC methods are subject to stability constraints on the time and space steps related to the small Debye length and large plasma frequency. Here, we propose an "Asymptotic-Preserving" PIC scheme which is not subjected to these limitations. Additionally, when the plasma period and Debye length are small compared to the time and space steps, this method provides a consistent PIC discretization of the quasineutral Vlasov equation. We perform several one-dimensional numerical experiments which provide a solid validation of the method and its underlying concepts, and compare the method with Classical PIC and Direct-Implicit methods. This paper deals with the numerical resolution of the Vlasov-Poisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime, classical PIC methods are subject to stability constraints on the time and space steps related to the small Debye length and large plasma frequency. Here, we propose an ``Asymptotic-Preserving" PIC scheme which is not subject to these limitations. Additionally, when the plasma period and Debye length are small compared to the time and space steps, this method provides a consistent PIC discretization of the quasineutral Vlasov equation. We perform several one-dimensional numerical experiments which provide a solid validation of the method and its underlying concepts. |
| Author | Sun, An-Bang Degond, Pierre Navoret, Laurent Vignal, Marie-Hélène Deluzet, Fabrice |
| Author_xml | – sequence: 1 givenname: Pierre surname: Degond fullname: Degond, Pierre email: pierre.degond@math.univ-toulouse.fr organization: Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France – sequence: 2 givenname: Fabrice surname: Deluzet fullname: Deluzet, Fabrice email: fabrice.deluzet@math.univ-toulouse.fr organization: Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France – sequence: 3 givenname: Laurent surname: Navoret fullname: Navoret, Laurent email: laurent.navoret@math.univ-toulouse.fr organization: Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France – sequence: 4 givenname: An-Bang surname: Sun fullname: Sun, An-Bang email: an-bang.sun@math.univ-toulouse.fr, absun1984@hotmail.com organization: Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France – sequence: 5 givenname: Marie-Hélène surname: Vignal fullname: Vignal, Marie-Hélène email: mhvignal@math.univ-toulouse.fr organization: Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France |
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| Keywords | Asymptotic-Preserving scheme Plasma Quasineutral limit Debye length Vlasov–Poisson Space-time Discretization Digital simulation Calculation Vlasov equation Vlasov-Poisson Calculation methods quasineutral limit asymptotic preserving scheme plasma |
| Language | English |
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| Snippet | This paper deals with the numerical resolution of the Vlasov–Poisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime,... This paper deals with the numerical resolution of the Vlasov-Poisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime,... |
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| SubjectTerms | Asymptotic properties Asymptotic-Preserving scheme Computation Computational techniques Debye length Discretization Exact sciences and technology Mathematical methods in physics Mathematical models Mathematics Numerical Analysis Particle in cell technique Physics Plasma Plasma frequencies Plasma Physics Quasineutral limit Stability Vlasov–Poisson |
| Title | Asymptotic-Preserving Particle-In-Cell method for the Vlasov–Poisson system near quasineutrality |
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