Numerical simulations of one laser-plasma model based on Poisson structure
被引:6
作者:
Li, Yingzhe
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机构:
Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Li, Yingzhe
[1
,2
]
Sun, Yajuan
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h-index: 0
机构:
Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Sun, Yajuan
[1
,2
]
Crouseilles, Nicolas
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h-index: 0
机构:
Univ Rennes, Inria Bretagne Atlantique, Mingus, France
Univ Rennes, ENS Rennes, Mingus, FranceChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Crouseilles, Nicolas
[3
,4
]
机构:
[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
[3] Univ Rennes, Inria Bretagne Atlantique, Mingus, France
In this paper, a bracket structure is proposed for the laser-plasma interaction model introduced in [19], and it is proved by direct calculations that the bracket is Poisson which satisfies the Jacobi identity. Then splitting methods in time are proposed based on the Poisson structure. For the quasi-relativistic case, the Hamiltonian splitting leads to three subsystems which can be solved exactly. The conservative splitting is proposed for the fully relativistic case, and three one-dimensional conservative subsystems are obtained. Combined with the splittings in time, in phase space discretization we use the Fourier spectral and finite volume methods. It is proved that the discrete charge and discrete Poisson equation are conserved by our numerical schemes. Numerically, some numerical experiments are conducted to verify good conservations for the charge, energy and Poisson equation. (C) 2019 Elsevier Inc. All rights reserved.
机构:
Univ Franche Comte, Lab Math Besancon, CNRS, UMR 6623, F-25030 Besancon, FranceUniv Franche Comte, Lab Math Besancon, CNRS, UMR 6623, F-25030 Besancon, France
Bostan, Mihai
;
Crouseilles, Nicolas
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h-index: 0
机构:
Univ Strasbourg, IRMA, F-67084 Strasbourg, FranceUniv Franche Comte, Lab Math Besancon, CNRS, UMR 6623, F-25030 Besancon, France
机构:
Univ Franche Comte, Lab Math Besancon, CNRS, UMR 6623, F-25030 Besancon, FranceUniv Franche Comte, Lab Math Besancon, CNRS, UMR 6623, F-25030 Besancon, France
Bostan, Mihai
;
Crouseilles, Nicolas
论文数: 0引用数: 0
h-index: 0
机构:
Univ Strasbourg, IRMA, F-67084 Strasbourg, FranceUniv Franche Comte, Lab Math Besancon, CNRS, UMR 6623, F-25030 Besancon, France