二维粘性流体绕圆圆柱流动的BIE，具有特定的格林函数

IF 1.9 4区工程技术 Q3 MECHANICS

Continuum Mechanics and Thermodynamics Pub Date : 2025-04-03 DOI:10.1007/s00161-025-01380-1

Mezhlum Sumbatyan, Rafael Zakaryan

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引用次数: 0

摘要

本文考虑了一种时间迭代的方法来求解粘性流体绕圆流动的经典二维流体力学问题。利用边界积分方程法和柱面外的特殊格林函数，得到了一个封闭的积分表示系统，确定了流区流场和涡度函数的摄动值。该解被构造为正弦函数的三角级数，其中每次迭代的谐波数加倍。在此基础上，构造了一种时间迭代方法，并在此基础上计算了流函数和涡量函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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.

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来源期刊

Continuum Mechanics and Thermodynamics 物理-力学

CiteScore

5.30

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.