Adaptive hp-DG Method for Nonstationary Compressible Euler Equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23220%2F12%3A43916212" target="_blank" >RIV/49777513:23220/12:43916212 - 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

Adaptive hp-DG Method for Nonstationary Compressible Euler Equations

Popis výsledku v původním jazyce

The compressible Euler equations describe the motion of compressible inviscid fluids. They are used in many areas ranging from aerospace, automotive, and nuclear engineering to chemistry, ecology, climatology, and others. These equations are solved mostfrequently by means of Finite Volume Methods (FVM) and low-order Finite Element Methods (FEM). However, both these approaches are lacking higher order accuracy and moreover, it is well known that conforming FEM is not the optimal tool for the discretization of first-order equations. The most promising approach to the approximate solution of the compressible Euler equations is the hp-adaptive discontinuous Galerkin method that combines the stability of FVM, with excellent approximation properties of higher-order FEM.

Název v anglickém jazyce

Adaptive hp-DG Method for Nonstationary Compressible Euler Equations

Popis výsledku anglicky

The compressible Euler equations describe the motion of compressible inviscid fluids. They are used in many areas ranging from aerospace, automotive, and nuclear engineering to chemistry, ecology, climatology, and others. These equations are solved mostfrequently by means of Finite Volume Methods (FVM) and low-order Finite Element Methods (FEM). However, both these approaches are lacking higher order accuracy and moreover, it is well known that conforming FEM is not the optimal tool for the discretization of first-order equations. The most promising approach to the approximate solution of the compressible Euler equations is the hp-adaptive discontinuous Galerkin method that combines the stability of FVM, with excellent approximation properties of higher-order FEM.

Druh

O - Ostatní výsledky

CEP obor

JD - Využití počítačů, robotika a její aplikace

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

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