A numerical strategy to discretize and solve the Poisson
equation on dynamically adapted multiresolution grids for
time-dependent streamer discharge simulations

J 2015

A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations

DUARTE, Max, Zdeněk BONAVENTURA, Marc MASSOT a Anne BOURDON

Základní údaje

Originální název

A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations

Autoři

DUARTE, Max (600 Paraguay), Zdeněk BONAVENTURA (203 Česká republika, garant, domácí), Marc MASSOT (250 Francie) a Anne BOURDON (250 Francie)

Vydání

Journal of Computational Physics, Elsevier, 2015, 0021-9991

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10305 Fluids and plasma physics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 2.556

Kód RIV

RIV/00216224:14310/15:00086125

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1016/j.jcp.2015.02.038

UT WoS

000351081000009

Klíčová slova anglicky

Poisson equation; Multiresolution finite volume scheme; Streamer discharges

Štítky

AKR, rivok

Změněno: 24. 3. 2016 09:36, Ing. Andrea Mikešková

Anotace

V originále

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. The accuracy and numerical performance of the method are assessed in the context of streamer discharge simulations.

Návaznosti

ED2.1.00/03.0086, projekt VaV

Název: Regionální VaV centrum pro nízkonákladové plazmové a nanotechnologické povrchové úpravy

Citovat

DUARTE, Max, Zdeněk BONAVENTURA, Marc MASSOT a Anne BOURDON. A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations. Journal of Computational Physics. Elsevier, 2015, roč. 289, MAY, s. 129-148. ISSN 0021-9991. Dostupné z: https://dx.doi.org/10.1016/j.jcp.2015.02.038.

@article{1331623,
   author = {Duarte, Max and Bonaventura, Zdeněk and Massot, Marc and Bourdon, Anne},
   article_number = {MAY},
   doi = {http://dx.doi.org/10.1016/j.jcp.2015.02.038},
   keywords = {Poisson equation; Multiresolution finite volume scheme; Streamer discharges},
   language = {eng},
   issn = {0021-9991},
   journal = {Journal of Computational Physics},
   title = {A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations},
   url = {http://www.sciencedirect.com/science/article/pii/S0021999115001084},
   volume = {289},
   year = {2015}
}

TY  - JOUR
ID  - 1331623
AU  - Duarte, Max - Bonaventura, Zdeněk - Massot, Marc - Bourdon, Anne
PY  - 2015
TI  - A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations
JF  - Journal of Computational Physics
VL  - 289
IS  - MAY
SP  - 129-148
EP  - 129-148
PB  - Elsevier
SN  - 00219991
KW  - Poisson equation
KW  - Multiresolution finite volume scheme
KW  - Streamer discharges
UR  - http://www.sciencedirect.com/science/article/pii/S0021999115001084
L2  - http://www.sciencedirect.com/science/article/pii/S0021999115001084
N2  - 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. The accuracy and numerical performance of the method are assessed in the context of streamer discharge simulations.
ER  -

DUARTE, Max, Zdeněk BONAVENTURA, Marc MASSOT a Anne BOURDON. A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations. \textit{Journal of Computational Physics}. Elsevier, 2015, roč.~289, MAY, s.~129-148. ISSN~0021-9991. Dostupné z: https://dx.doi.org/10.1016/j.jcp.2015.02.038.

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