Finite volume methods for numerical simulation of the discharge motion described by different physical models

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F19%3A00331873" target="_blank" >RIV/68407700:21220/19:00331873 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10444-019-09706-9" target="_blank" >https://doi.org/10.1007/s10444-019-09706-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10444-019-09706-9" target="_blank" >10.1007/s10444-019-09706-9</a>

Result language
angličtina
Original language name
Finite volume methods for numerical simulation of the discharge motion described by different physical models
Original language description
This paper deals with the numerical solution of an ionization wave propagation in air, described by a coupled set of convection-diffusion-reaction equations and a Poisson equation. The standard three-species and more complex eleven-species models with simple chemistry are formulated. The PDEs are solved by a finite volume method that is theoretically second order in space and time on an unstructured adaptive grid. The upwind scheme and the diamond scheme are used for the discretization of the convective and diffusive fluxes, respectively. The Poisson equation is also discretized by the diamond scheme. The results of both models are compared in details for a test case. The influence of physically pertinent boundary conditions at electrodes is also presented. Finally, we deal with numerical accuracy study of implicit scheme in two variants for simplified standard model. It allows us in the future to compute simulta- neously and efficiently a process consisting of short time discharge propagation and long-term after-discharge phase or repetitively pulsed discharge.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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