An adaptive hp -DG method with dynamically-changing meshes for non-stationary compressible Euler equations
Result description
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.
Keywords
numerical simulationfinite element methodEuler equationshp-adaptivityDiscontinuous Galerkin methodautomatic adaptivitydynamically changing meshes
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/61388998:_____/13:00438702
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
An adaptive hp -DG method with dynamically-changing meshes for non-stationary compressible Euler equations
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JA - Electronics and optoelectronics
OECD FORD branch
—
Result continuities
Project
ED2.1.00/03.0094: Regional Innovation Centre for Electrical Engineering (RICE)
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
COMPUTING
ISSN
0010-485X
e-ISSN
—
Volume of the periodical
95
Issue of the periodical within the volume
1
Country of publishing house
AT - AUSTRIA
Number of pages
20
Pages from-to
425-444
UT code for WoS article
—
EID of the result in the Scopus database
—
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
JA - Electronics and optoelectronics
Year of implementation
2013