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Volume 24 (2024)
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International Journal of Numerical Methods and Applications
International Journal of Numerical Methods and Applications
Volume 2, Issue 2, Pages 129 - 149 (December 2009)
A MULTISCALE
N
-SECTION METHOD FOR RESOLVING FLUID-DYNAMIC CLUSTERS OF ZEROS AND EXTREMA
Stanislav V. Miroshnikov (U.S.A.)
Abstract:
Development of the bisection method for finding localized zeros to a multiscale n-section method for resolving fluid-dynamic clusters of zeros and extrema is presented. The method is tested by the Kolmogorov-kind cascades of velocity and shear of the Couette flow produced by multi-mode transitional perturbations, which are modelled by finite-amplitude harmonics of the shear source. The multiscale n-section subdivision successfully resolves clusters of coherent structures of velocity and shear in the forced viscous sublayers, in the free viscous sublayer, and in the multiscale core of the Couette flow for the Reynolds number in the range
Keywords and phrases:
zeros and extrema, multiscale clusters,
n
-section method, symbolic programming, the transitional Couette flow, Kolmogorov-kind cascades, coherent structures, exposed perturbations.
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