Verlagslink DOI: 10.1007/s10492-006-0012-z
Titel: Finite volume schemes for multi-dimensional hyperbolic systems based on the use of bicharacteristics
Sprache: Englisch
Autor/Autorin: Medviďová-Lukáčová, Mária 
Saibertova, Jitka 
Schlagwörter: multidimensional finite volume methods; bicharacteristics; hyperbolic systems; wave equation; Euler equations
Erscheinungs­datum: Sep-2004
Zusammenfassung (englisch): 
In this paper we present recent results for the bicharacteristic based finite volume schemes, the so-called finite volume evolution Galerkin (FVEG) schemes. These methods were proposed to solve multi-dimensional hyperbolic conservation laws. They combine the usually conflicting design objectives of using the conservation form and following the characteristics, or bicharacteristics. This is realized by combining the finite volume formulation with approximate evolution operators, which use bicharacteristics of multi-dimensional hyperbolic system. In this way all of the infinitely many directions of wave propagation are taken into account. The main goal of this paper is to present a self contained overview on the recent results. We study the L1-stability of the finite volume schemes obtained by different approximations of the flux integrals. Several numerical experiments presented in the last section confirm robustness and correct multi-dimensional behaviour of the FVEG methods.
URI: http://tubdok.tub.tuhh.de/handle/11420/120
DOI: 10.15480/882.118
Institut: Mathematik E-10 
Dokumenttyp: Vorabdruck (Preprint)
Lizenz: Unter Copyright Unter Copyright
Teil der Schriftenreihe: Preprints des Institutes für Mathematik 
Bandangabe: 79
Enthalten in den Sammlungen:Publications with fulltext

Dateien zu dieser Ressource:
Datei Beschreibung GrößeFormat
rep79.pdf638,05 kBAdobe PDFÖffnen/Anzeigen
Miniaturbild
Zur Langanzeige

Seitenansichten

363
Letzte Woche
1
Letzten Monat
8
checked on 06.10.2022

Download(s)

95
checked on 06.10.2022

SCOPUSTM   
Zitate

9
Letzte Woche
0
Letzten Monat
0
checked on 30.06.2022

Google ScholarTM

Prüfe

Feedback zu diesem Datensatz

Diesen Datensatz zitieren

Export

Alle Ressourcen in diesem Repository sind urheberrechtlich geschützt.