Simulation of planar ionization wave front propagation on an unstructured adaptive grid

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F12%3A00200488" target="_blank" >RIV/68407700:21220/12:00200488 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.cam.2012.04.010" target="_blank" >http://dx.doi.org/10.1016/j.cam.2012.04.010</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2012.04.010" target="_blank" >10.1016/j.cam.2012.04.010</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Simulation of planar ionization wave front propagation on an unstructured adaptive grid

Popis výsledku v původním jazyce

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 isalso 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.

Název v anglickém jazyce

Simulation of planar ionization wave front propagation on an unstructured adaptive grid

Popis výsledku anglicky

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 isalso 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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

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Svazek periodika

236(2012)

Číslo periodika v rámci svazku

18

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

4623-4634

Kód UT WoS článku

000307425900005

EID výsledku v databázi Scopus

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