Langer, Stefan (2013) Application of a line implicit method to fully coupled system of equations for turbulent flow problems. International Journal of Computational Fluid Dynamics, 27 (3), Seiten 131-150. Taylor & Francis. doi: 10.1080/10618562.2013.784902. ISSN 1061-8562.
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Kurzfassung
For unstructured finite volume methods, we present a line implicit Runge–Kutta method applied as smoother in an agglomerated multigrid algorithm to significantly improve the reliability and convergence rate to approximate steady-state solutions of the Reynolds-averaged Navier–Stokes equations. To describe turbulence, we consider a one-equation Spalart–Allmaras turbulence model. The line implicit Runge–Kutta method extends a basic explicit Runge–Kutta method by a preconditioner given by an approximate derivative of the residual function. The approximate derivative is only constructed along predetermined lines which resolve anisotropies in the given grid. Therefore, the method is a canonical generalisation of point implicit methods. Numerical examples demonstrate the improvements of the line implicit Runge–Kutta when compared with explicit Runge–Kutta methods accelerated with local time stepping.
elib-URL des Eintrags: | https://elib.dlr.de/86373/ | ||||||||
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Dokumentart: | Zeitschriftenbeitrag | ||||||||
Titel: | Application of a line implicit method to fully coupled system of equations for turbulent flow problems | ||||||||
Autoren: |
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Datum: | 3 Juni 2013 | ||||||||
Erschienen in: | International Journal of Computational Fluid Dynamics | ||||||||
Referierte Publikation: | Ja | ||||||||
Open Access: | Nein | ||||||||
Gold Open Access: | Nein | ||||||||
In SCOPUS: | Ja | ||||||||
In ISI Web of Science: | Ja | ||||||||
Band: | 27 | ||||||||
DOI: | 10.1080/10618562.2013.784902 | ||||||||
Seitenbereich: | Seiten 131-150 | ||||||||
Verlag: | Taylor & Francis | ||||||||
ISSN: | 1061-8562 | ||||||||
Status: | veröffentlicht | ||||||||
Stichwörter: | preconditioned Runge–Kutta methods, line implicit, point implicit, high Reynolds number, turbulent flow problems, agglomerated multigrid | ||||||||
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 - Flugphysik (alt) | ||||||||
Standort: | Braunschweig | ||||||||
Institute & Einrichtungen: | Institut für Aerodynamik und Strömungstechnik > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering | ||||||||
Hinterlegt von: | Langer, Dr.rer.nat. Stefan | ||||||||
Hinterlegt am: | 06 Dez 2013 14:21 | ||||||||
Letzte Änderung: | 20 Nov 2023 15:05 |
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