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3 Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

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The application of kinetic modelsfor the construction of finite-difference schemes in gas dynamics

100%

Voikov V. , Voronich I. , Khlopkov Y.

Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

1999

tom nr 9

163-170

The correlation between DSM method and finite-difference schemes is revealed. The possibilities of refining upon properties of kinetically-consistent scheme are investigated. To validate corollaries, the calculations were carried out using ID and 2D tests.

Solution of the Rayleigh equation with the use of computer algebra

100%

Gorelov S. , Zharov V. , Khlopkov Y.

Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

1998

tom nr 8

195-198

A solution procedure based on computer-algebra methods is applied to the eigenvalue problem for the Rayleigh equation with the Blasius velocity profile. The procedure can be used to manipulate power series containing a large number of terms. An expression for the phase velocity of the lowest-order harmonic is obtained in the form of a series in the wave-vector components. Representation of the series in terms of Fade approximants is considered with a view to improving their convergence.

Resonant properties of laminar and turbulent boundary layers

100%

Dodonov I. , Zharov V. , Khlopkov Y.

Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

1998

tom nr 8

137-144

With the purpose of modeling of coherent structures m laminar and turbulent boundary layers on a plate the properties of the appropriate profiles of longitudinal speed are considered. The spectral characteristics of profiles were determined in temporary statement. A resonance between 3-dimentional Sqaire and Tollmien-Schlichting waves of a discrete spectrum, and also 3-wave resonance for the lowest mode of Tollmien-Schlichting waves are considered. The qualitative comparison with experimental results is carried out.