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Simulation of unsteady turbulent flows around moving aerofoils using the pseudo‐time method
Author(s) -
Badcock K. J.,
Cantariti F.,
Hawkins I.,
Woodgate M.,
Dubuc L.,
Richards B. E.
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(20000315)32:5<585::aid-fld976>3.0.co;2-1
Subject(s) - turbulence , convergence (economics) , mathematics , flow (mathematics) , computational fluid dynamics , set (abstract data type) , mathematical optimization , computer science , geometry , mechanics , physics , economics , programming language , economic growth
The pseudo‐time formulation of Jameson has facilitated the use of numerical methods for unsteady flows, these methods have proved successful for steady flows. The formulation uses iterations through pseudo‐time to arrive at the next real time approximation. This iteration can be used in a straightforward manner to remove sequencing errors introduced when solving mean flow equations together with another set of differential equations (e.g. two‐equation turbulence models or structural equations). The current paper discusses the accuracy and efficiency advantages of removing the sequencing error and the effect that building extra equations into the pseudo‐time iteration has on its convergence characteristics. Test cases used are for the turbulent flow around pitching and ramping aerofoils. The performance of an implicit method for solving the pseudo‐steady state problem is also assessed. Copyright © 2000 John Wiley & Sons, Ltd.