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%3A43919683" target="_blank" >RIV/49777513:23220/13:43919683 - 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

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 promissing recent alternative to these low-order methods is the higher-order Discontinuous Galerkin (hp-DG) method that combines the stability of FVM with excellent approximation properties of higher-order FEM. 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 approximation is smooth, which leads to an efficient discretization of the time-dependent problem. The method is described and numericalexamples 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 promissing recent alternative to these low-order methods is the higher-order Discontinuous Galerkin (hp-DG) method that combines the stability of FVM with excellent approximation properties of higher-order FEM. 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 approximation is smooth, which leads to an efficient discretization of the time-dependent problem. The method is described and numericalexamples are presented.

Druh

O - Ostatní výsledky

CEP obor

JA - Elektronika a optoelektronika, elektrotechnika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP102%2F11%2F0498" target="_blank" >GAP102/11/0498: Nové adaptivní monolitické metody vyšších řádů pro numerické řešení evolučních multifyzikálních problémů v elektrotechnice</a><br>

Návaznosti

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