Langer, Stefan (2012) Investigation and application of point implicit Runge–Kutta methods to inviscid flow problems. International Journal for Numerical Methods in Fluids, 69 (2), Seiten 332-352. Wiley. doi: 10.1002/fld.2561. ISSN 0271-2091.
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Kurzfassung
We derive and investigate point implicit Runge–Kutta methods to significantly improve the convergence rate to approximate steady-state solutions of inviscid flows. It turns out that the point implicit Runge–Kutta can be interpreted as a preconditioned explicit Runge–Kutta method, where the preconditioner arises naturally as local derivative of the residual function. Moreover, many preconditioners suggested in the literature so far are identified as special case of our general ansatz. Conditions will be formulated such that explicit Runge–Kutta methods with local time stepping are equivalent to point implicit methods. In numerical examples, we will demonstrate the improved convergence rates.
elib-URL des Eintrags: | https://elib.dlr.de/72688/ | ||||||||||||
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Dokumentart: | Zeitschriftenbeitrag | ||||||||||||
Zusätzliche Informationen: | Published online: 29. APR 2011 | ||||||||||||
Titel: | Investigation and application of point implicit Runge–Kutta methods to inviscid flow problems | ||||||||||||
Autoren: |
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Datum: | 2012 | ||||||||||||
Erschienen in: | International Journal for Numerical Methods in Fluids | ||||||||||||
Referierte Publikation: | Ja | ||||||||||||
Open Access: | Nein | ||||||||||||
Gold Open Access: | Nein | ||||||||||||
In SCOPUS: | Ja | ||||||||||||
In ISI Web of Science: | Ja | ||||||||||||
Band: | 69 | ||||||||||||
DOI: | 10.1002/fld.2561 | ||||||||||||
Seitenbereich: | Seiten 332-352 | ||||||||||||
Herausgeber: |
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Verlag: | Wiley | ||||||||||||
ISSN: | 0271-2091 | ||||||||||||
Status: | veröffentlicht | ||||||||||||
Stichwörter: | Runge–Kutta methods; point implicit; local time stepping; matrix dissipation; inviscid flow problem; multigrid | ||||||||||||
HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||||||
HGF - Programm: | Raumfahrt | ||||||||||||
HGF - Programmthema: | Raumtransport | ||||||||||||
DLR - Schwerpunkt: | Raumfahrt | ||||||||||||
DLR - Forschungsgebiet: | R RP - Raumtransport | ||||||||||||
DLR - Teilgebiet (Projekt, Vorhaben): | R - Raumfahrzeugsysteme - Numerische Verfahren und Simulation (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: | 12 Dez 2011 15:55 | ||||||||||||
Letzte Änderung: | 20 Nov 2023 15:20 |
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