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  • The paper deals with the numerical solution of a basic 2D model of the propagation of an ionization wave. The system of equations describing this propagation consists of a coupled set of reaction-diffusion-convection equations and a Poissons equation. The transport equations are solved by a finite volume method on an unstructured triangular adaptive grid. The upwind scheme and the diamond scheme are used for the discretization of the convection and diffusion fluxes, respectively. The Poisson equation is also discretized by the diamond scheme. Numerical results are presented. We deal in more detail with numerical tests of the grid adaptation technique and its influence on the numerical results. An original behavior is observed. The grid refinement is not sufficient to obtain accurate results for this particular phenomenon. Using a second order scheme for convection is necessary.
  • The paper deals with the numerical solution of a basic 2D model of the propagation of an ionization wave. The system of equations describing this propagation consists of a coupled set of reaction-diffusion-convection equations and a Poissons equation. The transport equations are solved by a finite volume method on an unstructured triangular adaptive grid. The upwind scheme and the diamond scheme are used for the discretization of the convection and diffusion fluxes, respectively. The Poisson equation is also discretized by the diamond scheme. Numerical results are presented. We deal in more detail with numerical tests of the grid adaptation technique and its influence on the numerical results. An original behavior is observed. The grid refinement is not sufficient to obtain accurate results for this particular phenomenon. Using a second order scheme for convection is necessary. (en)
Title
  • Simulation of planar ionization wave front propagation on an unstructured adaptive grid
  • Simulation of planar ionization wave front propagation on an unstructured adaptive grid (en)
skos:prefLabel
  • Simulation of planar ionization wave front propagation on an unstructured adaptive grid
  • Simulation of planar ionization wave front propagation on an unstructured adaptive grid (en)
skos:notation
  • RIV/68407700:21220/12:00200488!RIV13-MSM-21220___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
http://linked.open...iv/cisloPeriodika
  • 18
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 168024
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21220/12:00200488
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Finite volume; grid adaptation; wave (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [FCDCD206B786]
http://linked.open...i/riv/nazevZdroje
  • Journal of Computational and Applied Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 236(2012)
http://linked.open...iv/tvurceVysledku
  • Benkhaldoun, F.
  • Fořt, Jaroslav
  • Hassouni, K.
  • Karel, Jan
http://linked.open...ain/vavai/riv/wos
  • 000307425900005
issn
  • 0377-0427
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.cam.2012.04.010
http://localhost/t...ganizacniJednotka
  • 21220
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