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<p>The paper considers a time-iterative approach, to solve a classical 2D problem of hydromechanics for a viscous fluid flow around a circle. Using the boundary integral equation method and special Green’s function outside the cylinder, a closed system of integral representations is obtained, to determine the perturbed values of the stream and vorticity function in the flow region. The solution is constructed as a trigonometric series of sines, in which the number of harmonics doubles with each time iteration. As a result, a time-iterative method is constructed, on the basis of which the stream and vorticity functions are calculated.</p>

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On a BIE for a 2D flow of viscous fluid around a round cylinder, with specific Green’s function

  • 期刊论文

  • 发表日期：

    2025年4月3日

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  • Mezhlum Sumbatyan,
  • Rafael Zakaryan

摘要

The paper considers a time-iterative approach, to solve a classical 2D problem of hydromechanics for a viscous fluid flow around a circle. Using the boundary integral equation method and special Green’s function outside the cylinder, a closed system of integral representations is obtained, to determine the perturbed values of the stream and vorticity function in the flow region. The solution is constructed as a trigonometric series of sines, in which the number of harmonics doubles with each time iteration. As a result, a time-iterative method is constructed, on the basis of which the stream and vorticity functions are calculated.