Journal "Computational Technologies"

Article information

2019 , Volume 24, № 4, p.108-117

Pinchukov V.I.

Numerical investigation of self-oscillatory flows in the rotation channels with cylindrical bodies on the axis

This paper addresses a search for new self-oscillatory compressible flows and numerical studies of these flows. These searches are carried out by computational modelling of currents with the maximum number of contact discontinuities and points of intersection of discontinuities — shock waves with shock waves or shock waves with contact discontinuities. Two families of unsteady flows are considered. The first one contains flows near underextended sonic jets, impinging on cylindrical bodies placed in open tubes. The second family corresponds to interactions of uniform supersonic streams with pairs containing the open channel of rotation (with transient crossection) and a cylindrical body on the axis. Self-oscillatory regimes are found in both cases. Two-dimensional axysimmetrical compressble flow equations are solved by an implicit Runge—Kutta scheme of the third order. Algebraic turbulent viscosity is assumed which is based on the implementation of the generalized Karman formulae.

Numerical results allow concluding that unsteady flows, which take place when sonic jets impinge on a pair containing of cylinders and open tubes are typical for jets impinging on obstacles. Flows, which take place when uniform streams interact with these pairs comprise a new original class of self-oscillatory flows.

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Keywords: self-oscillations, Euler equations, high resolution methods, implicit Runge - Kutta schemes

doi: 10.25743/ICT.2019.24.4.007

Author(s):
Pinchukov Vladimir Ivanovich
Dr. , Senior Scientist
Position: Leading research officer
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
Phone Office: (383) 330 73 73
E-mail: pinchvi@net.ict.nsc.ru

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Bibliography link:
Pinchukov V.I. Numerical investigation of self-oscillatory flows in the rotation channels with cylindrical bodies on the axis // Computational technologies. 2019. V. 24. № 4. P. 108-117