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

Volumen 46, Ausgabe 8, 2015, pp. 783-806
DOI: 10.1615/TsAGISciJ.2016016410
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ABSTRAKT

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.

REFERENZIERT VON
  1. Molev Sergey, Podaruev Vladimir, Troshin Alexey, Fractional time stepping for unsteady engineering calculations on parallel computer systems, 1906, 2017. Crossref

  2. Troshin Alexey, Shiryaeva Anna, Vlasenko Vladimir, Sabelnikov Vladimir, Large-Eddy Simulation of Helium and Argon Supersonic Jets in Supersonic Air Co-flow, in Progress in Turbulence VIII, 226, 2019. Crossref

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