Výpočetní aspekty adaptace výpočtové sítě pro time marching procedure

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Computational aspects of the mesh adaptation for the time marching procedure

Popis výsledku v původním jazyce

The paper deals with a construction of an adaptive mesh in the framework of the cell-centred finite volume scheme. The adaptive strategy is applied to the numerical solution of problems governed by hyperbolic partial differential equations. Starting fromthe adaptation techniques for the stationary problems (for a general overview see e.g. [9]), the nonstationary case is studied. The main attention is paid to an adaptive part of a time marching procedure. The main feature of the proposed method is to keep the mass conservation of the numerical solution at each adaptation step. We apply an anisotropic mesh adaptation from [1]. This is followed by a recovery of the approximate solution on the new mesh satisfying the geometric conservation law. The adaptation algorithm is formulated in the framework of an N-dimensional numerical solution procedure. A new strategy for moving a vertex of the mesh, based on a gradient method, is presented. The results from [4] are further developed. The gene

Název v anglickém jazyce

Computational aspects of the mesh adaptation for the time marching procedure

Popis výsledku anglicky

The paper deals with a construction of an adaptive mesh in the framework of the cell-centred finite volume scheme. The adaptive strategy is applied to the numerical solution of problems governed by hyperbolic partial differential equations. Starting fromthe adaptation techniques for the stationary problems (for a general overview see e.g. [9]), the nonstationary case is studied. The main attention is paid to an adaptive part of a time marching procedure. The main feature of the proposed method is to keep the mass conservation of the numerical solution at each adaptation step. We apply an anisotropic mesh adaptation from [1]. This is followed by a recovery of the approximate solution on the new mesh satisfying the geometric conservation law. The adaptation algorithm is formulated in the framework of an N-dimensional numerical solution procedure. A new strategy for moving a vertex of the mesh, based on a gradient method, is presented. The results from [4] are further developed. The gene

Druh

D - Stať ve sborníku

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2006

Kód důvěrnosti údajů

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

Název statě ve sborníku

Numerical Mathematics and Advanced Applications

ISBN

3-540-34287-7

ISSN

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e-ISSN

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Počet stran výsledku

8

Strana od-do

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Název nakladatele

SPRINGER-VERLAG

Místo vydání

BERLIN

Místo konání akce

Santiago de Compostela

Datum konání akce

1. 1. 2005

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000242968100015