This paper deals with the development and the analysis of asymptotically stable and consistent schemes in the joint quasi-neutral and fluid limits for the collisional Vlasov-Poisson system. In these limits, the classical explicit schemes suffer from time step restrictions due to the small plasma period and Knudsen number. To solve this problem, we propose a new scheme stable for choices of time steps independent from the small scale dynamics and with comparable computational cost with respect to standard explicit schemes. In addition, this scheme reduces automatically to consistent discretizations of the underlying asymptotic systems. In this paper, we propose a first order in time scheme, and we perform a relative linear stability analysis to deal with such problems. The framework we propose will permit us to extend this approach to high order schemes in the near future. Finally, we show the capability of the method in dealing with small scales through numerical experiments.
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页码:65 / 95
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Chen F. F., 1974, Introduction to plasma physics
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Univ Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Univ Strasbourg, IRMA, F-67084 Strasbourg, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Crestetto, Anais
Crouseilles, Nicolas
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Univ Rennes 1, INRIA Rennes Bretagne Atlantique, IPSO Project, F-35042 Rennes, France
Univ Rennes 1, IRMAR, F-35042 Rennes, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Crouseilles, Nicolas
Lemou, Mohammed
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Univ Rennes 1, IRMAR, F-35042 Rennes, France
Univ Rennes 1, CNRS, F-35042 Rennes, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
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Univ Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Univ Strasbourg, IRMA, F-67084 Strasbourg, France
CNRS, F-67084 Strasbourg, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Crouseilles, Nicolas
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Mehrenberger, Michel
Sonnendruecker, Eric
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Univ Strasbourg, IRMA, F-67084 Strasbourg, France
CNRS, F-67084 Strasbourg, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
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INRIA Nancy Grand Est, CALVI Project, Strasbourg, FranceINRIA Nancy Grand Est, CALVI Project, Strasbourg, France
Crouseilles, Nicolas
Respaud, Thomas
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INRIA Nancy Grand Est, CALVI Project, Strasbourg, France
IRMA Strasbourg, Strasbourg, FranceINRIA Nancy Grand Est, CALVI Project, Strasbourg, France
Respaud, Thomas
Sonnendruecker, Eric
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INRIA Nancy Grand Est, CALVI Project, Strasbourg, France
IRMA Strasbourg, Strasbourg, FranceINRIA Nancy Grand Est, CALVI Project, Strasbourg, France
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Univ Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Univ Strasbourg, IRMA, F-67084 Strasbourg, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Crestetto, Anais
Crouseilles, Nicolas
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Univ Rennes 1, INRIA Rennes Bretagne Atlantique, IPSO Project, F-35042 Rennes, France
Univ Rennes 1, IRMAR, F-35042 Rennes, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Crouseilles, Nicolas
Lemou, Mohammed
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Univ Rennes 1, IRMAR, F-35042 Rennes, France
Univ Rennes 1, CNRS, F-35042 Rennes, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
机构:
Univ Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Univ Strasbourg, IRMA, F-67084 Strasbourg, France
CNRS, F-67084 Strasbourg, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
Crouseilles, Nicolas
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Mehrenberger, Michel
Sonnendruecker, Eric
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Univ Strasbourg, IRMA, F-67084 Strasbourg, France
CNRS, F-67084 Strasbourg, FranceUniv Strasbourg, INRIA Nancy Grand Est, CALVI Project, F-67084 Strasbourg, France
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INRIA Nancy Grand Est, CALVI Project, Strasbourg, FranceINRIA Nancy Grand Est, CALVI Project, Strasbourg, France
Crouseilles, Nicolas
Respaud, Thomas
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h-index: 0
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INRIA Nancy Grand Est, CALVI Project, Strasbourg, France
IRMA Strasbourg, Strasbourg, FranceINRIA Nancy Grand Est, CALVI Project, Strasbourg, France
Respaud, Thomas
Sonnendruecker, Eric
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INRIA Nancy Grand Est, CALVI Project, Strasbourg, France
IRMA Strasbourg, Strasbourg, FranceINRIA Nancy Grand Est, CALVI Project, Strasbourg, France