An adaptive hp -DG method with dynamically-changing meshes for non-stationary compressible Euler equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23220%2F13%3A43918919" target="_blank" >RIV/49777513:23220/13:43918919 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61388998:_____/13:00438702

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00607-012-0257-1" target="_blank" >http://dx.doi.org/10.1007/s00607-012-0257-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00607-012-0257-1" target="_blank" >10.1007/s00607-012-0257-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

An adaptive hp -DG method with dynamically-changing meshes for non-stationary compressible Euler equations

Popis výsledku v původním jazyce

Compressible Euler equations describing the motion of compressible inviscid fluids are typically solved by means of low-order finite volume (FVM) or finite element (FEM) methods. A promising recent alternative to these low-order methods is the higher-order discontinuous Galerkin ( hp -DG) method (Schnepp and Weiland, J Comput Appl Math 236:4909?4924, 2012; Schnepp and Weiland, Radio Science, vol 46, RS0E03, 2011) that combines the stability of FVM with excellent approximation properties of higher-orderFEM. This paper presents a novel hp -adaptive algorithm for the hp -DG method which is based on meshes that change dynamically in time. The algorithm reduces the order of the approximation on shocks and keeps higher-order elements where the approximationis smooth, which leads to an efficient discretization of the time-dependent problem. The method is described and numerical examples are presented.

Název v anglickém jazyce

An adaptive hp -DG method with dynamically-changing meshes for non-stationary compressible Euler equations

Popis výsledku anglicky

Compressible Euler equations describing the motion of compressible inviscid fluids are typically solved by means of low-order finite volume (FVM) or finite element (FEM) methods. A promising recent alternative to these low-order methods is the higher-order discontinuous Galerkin ( hp -DG) method (Schnepp and Weiland, J Comput Appl Math 236:4909?4924, 2012; Schnepp and Weiland, Radio Science, vol 46, RS0E03, 2011) that combines the stability of FVM with excellent approximation properties of higher-orderFEM. This paper presents a novel hp -adaptive algorithm for the hp -DG method which is based on meshes that change dynamically in time. The algorithm reduces the order of the approximation on shocks and keeps higher-order elements where the approximationis smooth, which leads to an efficient discretization of the time-dependent problem. The method is described and numerical examples are presented.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JA - Elektronika a optoelektronika, elektrotechnika

OECD FORD obor

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Projekt

<a href="/cs/project/ED2.1.00%2F03.0094" target="_blank" >ED2.1.00/03.0094: Regionální inovační centrum elektrotechniky (RICE)</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

COMPUTING

ISSN

0010-485X

e-ISSN

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Svazek periodika

95

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

AT - Rakouská republika

Počet stran výsledku

20

Strana od-do

425-444

Kód UT WoS článku

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EID výsledku v databázi Scopus

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