532.5.032:532.517.3 Numerical study of the influence of external force moment on formation of the coherent turbulent structures

Posudnevskaya A. O. (L.D. Landau Institute for Theoretical Physics RAS)

TURBULENCE, NUMERICAL MODELING, KOLMOGOROV FLOW, VISCOUS FLUID, VORTEX FLOWS


doi: 10.18698/2309-3684-2025-1-92103


The problem of two-dimensional flow of a viscous weakly compressible fluid in a square cell under excitation of a spatially periodic static external force (Kolmogorov flow) and the presence of friction on the bottom is considered. The influence of the presence and absence of an external force torque (twist) on the flow formation is studied numerically. It is shown that the presence of a moment of external force at certain values of the force amplitude and the coefficient of friction on the bottom leads to the emergence of one coherent structure that occupies the entire studied area of the square cell. The absence of a moment of exciting force forms a vortex dipole in the cell.


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Посудневская А.О. Численное исследование влияния момента внешней силы на формирование когерентных турбулентных структур. Математическое моделирование и численные методы, 2025, № 1, с. 92–103.


Работа выполнена при финансовой поддержке Министерства науки и высшего образования РФ (госзадание 124022400174-3) и Российского научного фонда (грант РНФ 23-72-30006). Моделирование было проведено с использованием вычислительных мощностей ИТФ им. Ландау РАН.


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