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TsAGI Science Journal

ISSN Imprimer: 1948-2590
ISSN En ligne: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2016016410
pages 783-806

IMPROVEMENT IN MODELING QUALITY OF UNSTEADY PROCESSES WHEN USING AN EXPLICIT SCHEME WITH FRACTIONAL TIME STEPPING

Sergey Sergeyevich Molev
Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., Zhukovsky, 140180, Moscow Region, Russia

RÉSUMÉ

The results of studying the fractional time stepping method for the Godunov-Kolgan explicit scheme on a model equation are obtained. It is shown that violations of scheme conservatism and local stability conditions lead to deterioration of the conditions in comparison with the global time stepping method. A conservative algorithm is proposed as well as a stability loss recognition and correction mechanism. The method is extended to Euler and Reynolds equations. Examples are given that demonstrate the accuracy of the obtained numerical solutions and the increase in computational speed.


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