On solution of two dimensional Poisson’s problem using unstructured grid

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F20%3APU139593" target="_blank" >RIV/00216305:26110/20:PU139593 - isvavai.cz</a>

Výsledek na webu

<a href="https://aip.scitation.org/doi/abs/10.1063/5.0034504" target="_blank" >https://aip.scitation.org/doi/abs/10.1063/5.0034504</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0034504" target="_blank" >10.1063/5.0034504</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On solution of two dimensional Poisson’s problem using unstructured grid

Popis výsledku v původním jazyce

Steady state heat conduction, diffusion or electrostatic problems are described by Piosson’s equation along with appropriate boundary conditions. Several numerical methods have been developed to solve this boundary value problem on regular and irregular nodal arrangements. We compare performance of three of them, namely the finite volume method, the virtual element method and the finite element method, applied on specific spatial discretization provided by Voronoi tessellation on random set of nuclei. The finite volume method advantageously employ perpendicularity of the faces and connections between nuclei. The virtual element method provides correct integration scheme for polygonal finite elements because they otherwise suffer from imprecise integration of non-polynomial shape function. The last method under comparison is the finite element method based on polygonal elements created by static condensation of isoparametric triangles. The methods are compared on several patch tests and convergence studies are performed.

Název v anglickém jazyce

On solution of two dimensional Poisson’s problem using unstructured grid

Popis výsledku anglicky

Steady state heat conduction, diffusion or electrostatic problems are described by Piosson’s equation along with appropriate boundary conditions. Several numerical methods have been developed to solve this boundary value problem on regular and irregular nodal arrangements. We compare performance of three of them, namely the finite volume method, the virtual element method and the finite element method, applied on specific spatial discretization provided by Voronoi tessellation on random set of nuclei. The finite volume method advantageously employ perpendicularity of the faces and connections between nuclei. The virtual element method provides correct integration scheme for polygonal finite elements because they otherwise suffer from imprecise integration of non-polynomial shape function. The last method under comparison is the finite element method based on polygonal elements created by static condensation of isoparametric triangles. The methods are compared on several patch tests and convergence studies are performed.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GA19-12197S" target="_blank" >GA19-12197S: Sdružená Úloha Mechaniky a Proudění v Betonu Řešená Pomocí Meso-Úrovňového Diskrétního Modelu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název statě ve sborníku

AIP Conference Proceedings

ISBN

978-0-7354-4045-6

ISSN

0094-243X

e-ISSN

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Počet stran výsledku

7

Strana od-do

„020041-1“-„020041-7“

Název nakladatele

AIP Publishing

Místo vydání

Online

Místo konání akce

Mallorca

Datum konání akce

15. 9. 2020

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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