Porovnání "Cell Centered" a "Cell Vertex" formulace metody konečných objemů

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F06%3A02121695" target="_blank" >RIV/68407700:21220/06:02121695 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Comparison of Cell Centered and Vertex Centered Formulation of Finite Volume Method

Popis výsledku v původním jazyce

Finite volume methods for solving hyperbolic systems on unstructured meshes are known for a long time. There are two basic formulations of the method: cell centered and vertex centered. For the cell centered method, the (finite) volumes used to satisfy the integral form of the equation are the mesh elements itself. For the vertex centered approach, the finite volumes are elements of the mesh dual to the computational mesh. We present comparison of both formulations. The method is first evaluated on a scalar advection equation. Knowing the analytical solution of the problem, convergence studies are performed. More complex test cases involve the 3D transonic flow past an Onera M6 airfoil. Discussion includes influence of the reconstruction and limiters on the solution. The results of the parallel implementation for a Linux PC cluster both with explicit and implicit time integration method are presented.

Název v anglickém jazyce

Comparison of Cell Centered and Vertex Centered Formulation of Finite Volume Method

Popis výsledku anglicky

Finite volume methods for solving hyperbolic systems on unstructured meshes are known for a long time. There are two basic formulations of the method: cell centered and vertex centered. For the cell centered method, the (finite) volumes used to satisfy the integral form of the equation are the mesh elements itself. For the vertex centered approach, the finite volumes are elements of the mesh dual to the computational mesh. We present comparison of both formulations. The method is first evaluated on a scalar advection equation. Knowing the analytical solution of the problem, convergence studies are performed. More complex test cases involve the 3D transonic flow past an Onera M6 airfoil. Discussion includes influence of the reconstruction and limiters on the solution. The results of the parallel implementation for a Linux PC cluster both with explicit and implicit time integration method are presented.

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

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2006

Kód důvěrnosti údajů

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

Název periodika

Inženýrská mechanika

ISSN

1210-2717

e-ISSN

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Svazek periodika

13

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

10

Strana od-do

191-200

Kód UT WoS článku

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EID výsledku v databázi Scopus

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