Versenden
Drucken
Bassi, Francesco und De Bartolo, Carmine und Hartmann, Ralf und Nigro, Alessandra (2009) A discontinuous Galerkin method for inviscid low Mach number flows. Journal of Computational Physics, 228 (11), Seiten 3996-4011. Elsevier. doi: 10.1016/j.jcp.2009.02.021. ISSN 0021-9991.
Dies ist die aktuellste Version dieses Eintrags.
![[img]](https://elib.dlr.de/style/images/fileicons/application_pdf.png)
|
PDF
9MB |
Kurzfassung
In this work we extend the high-order Discontinuous Galerkin (DG) Finite element method to inviscid low Mach number flows. The method here presented is designed to improve the accuracy and efficiency of the solution at low Mach numbers using both explicit and implicit schemes for the temporal discretization of the compressible Euler equations. The algorithm is based on a classical preconditioning technique that in general entails modifying both the instationary term of the governing equations and the dissipative term of the numerical flux function (full preconditioning approach). In the paper we show that full preconditioning is beneficial for explicit time integration while the implicit scheme turns out to be efficient and accurate using just the modified numerical flux function. Thus the implicit scheme could also be used for time accurate computations. The performance of the method is demonstrated by solving an inviscid flow past a NACA0012 airfoil at different low Mach numbers using various degrees of polynomial approximations. Computations with and without preconditioning are performed on different grid topologies to analyze the influence of the spatial discretization on the accuracy of the DG solutions at low Mach numbers.
| elib-URL des Eintrags: | https://elib.dlr.de/61930/ | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dokumentart: | Zeitschriftenbeitrag | ||||||||||||||||||||
| Titel: | A discontinuous Galerkin method for inviscid low Mach number flows | ||||||||||||||||||||
| Autoren: |
| ||||||||||||||||||||
| Datum: | 2009 | ||||||||||||||||||||
| Erschienen in: | Journal of Computational Physics | ||||||||||||||||||||
| Referierte Publikation: | Ja | ||||||||||||||||||||
| Open Access: | Ja | ||||||||||||||||||||
| Gold Open Access: | Nein | ||||||||||||||||||||
| In SCOPUS: | Ja | ||||||||||||||||||||
| In ISI Web of Science: | Ja | ||||||||||||||||||||
| Band: | 228 | ||||||||||||||||||||
| DOI: | 10.1016/j.jcp.2009.02.021 | ||||||||||||||||||||
| Seitenbereich: | Seiten 3996-4011 | ||||||||||||||||||||
| Verlag: | Elsevier | ||||||||||||||||||||
| ISSN: | 0021-9991 | ||||||||||||||||||||
| Status: | veröffentlicht | ||||||||||||||||||||
| Stichwörter: | Low Mach number flow, Discontinuous Galerkin finite element method, preconditioning, Euler equations, compressible flows, Roe scheme | ||||||||||||||||||||
| HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||||||||||||||
| HGF - Programm: | Luftfahrt | ||||||||||||||||||||
| HGF - Programmthema: | Starrflügler (alt) | ||||||||||||||||||||
| DLR - Schwerpunkt: | Luftfahrt | ||||||||||||||||||||
| DLR - Forschungsgebiet: | L AR - Starrflüglerforschung | ||||||||||||||||||||
| DLR - Teilgebiet (Projekt, Vorhaben): | L - Konzepte & Integration (alt) | ||||||||||||||||||||
| Standort: | Braunschweig | ||||||||||||||||||||
| Institute & Einrichtungen: | Institut für Aerodynamik und Strömungstechnik > CASE | ||||||||||||||||||||
| Hinterlegt von: | Hartmann, Dr.rer.nat. Ralf | ||||||||||||||||||||
| Hinterlegt am: | 05 Jan 2010 10:20 | ||||||||||||||||||||
| Letzte Änderung: | 28 Mär 2023 23:38 |
Verfügbare Versionen dieses Eintrags
- A discontinuous Galerkin method for inviscid low Mach number flows. (deposited 05 Jan 2010 10:20) [Gegenwärtig angezeigt]
Nur für Mitarbeiter des Archivs: Kontrollseite des Eintrags
