A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00086125" target="_blank" >RIV/00216224:14310/15:00086125 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0021999115001084" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0021999115001084</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jcp.2015.02.038" target="_blank" >10.1016/j.jcp.2015.02.038</a>
Alternative languages
Result language
angličtina
Original language name
A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations
Original language description
We develop a numerical strategy to solve multi-dimensional Poisson equations on dynamically adapted grids for evolutionary problems disclosing propagating fronts. The method is an extension of the multiresolution finite volume scheme used to solve hyperbolic and parabolic time-dependent PDEs. Such an approach guarantees a numerical solution of the Poisson equation within a user-defined accuracy tolerance. Most adaptive meshing approaches in the literature solve elliptic PDEs level-wise and hence at uniform resolution throughout the set of adapted grids. Here we introduce a numerical procedure to represent the elliptic operators on the adapted grid, strongly coupling inter-grid relations that guarantee the conservation and accuracy properties of multiresolution finite volume schemes. The discrete Poisson equation is solved at once over the entire computational domain as a completely separate process.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BL - Plasma physics and discharge through gases
OECD FORD branch
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Result continuities
Project
<a href="/en/project/ED2.1.00%2F03.0086" target="_blank" >ED2.1.00/03.0086: Regional R&D center for low-cost plasma and nanotechnology surface modifications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Computational Physics
ISSN
0021-9991
e-ISSN
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Volume of the periodical
289
Issue of the periodical within the volume
MAY
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
129-148
UT code for WoS article
000351081000009
EID of the result in the Scopus database
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