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DSMC Modeling of a Single Hot Spot Evolution Using the Landau-Fokker-Planck Equation
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science. Karlstad Univ, Dept Math, Karlstad, Sweden..
RAS, Lebedev Phys Inst, Moscow 117901, Russia.;Dukhov All Russia Res Inst Automat, Moscow, Russia..
RAS, Lebedev Phys Inst, Moscow 117901, Russia.;Dukhov All Russia Res Inst Automat, Moscow, Russia..
Dukhov All Russia Res Inst Automat, Moscow, Russia..
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2014 (English)In: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, ISSN 0167-8019, E-ISSN 1572-9036, Vol. 132, no 1, 107-116 p.Article in journal (Refereed) PublishedText
Abstract [en]

Numerical solution of a fully nonlinear one dimensional in space and three dimensional in velocity space electron kinetic equation is presented. Direct Simulation Monte Carlo (DSMC) method used for the nonlinear Landau-Fokker-Planck (LFP) collision operator is combined with Particle-in-Cell (PiC) simulations. An assumption of a self-consistent ambipolar electric field is used. The illustrative simulation results for the relaxation of the initial temperature perturbation are compared with the antecedent analytical and numerical results.

Place, publisher, year, edition, pages
2014. Vol. 132, no 1, 107-116 p.
Keyword [en]
Boltzmann kinetic equation, Coulomb collisions, Nonlinear Landau-Fokker-Planck equation, DSMC method, PiC method, Nonlocal heat transport
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-41509DOI: 10.1007/s10440-014-9940-xISI: 000341706300010OAI: oai:DiVA.org:kau-41509DiVA: diva2:923151
Available from: 2016-04-25 Created: 2016-04-11 Last updated: 2016-07-07Bibliographically approved

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Department of Mathematics and Computer Science
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Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
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