We study a weakly stratified Kolmogorov flow under the effect of a small linear drag. We perform a linear stability analysis of the basic state. We construct the finite dimensional dynamical system deriving from the truncated Fourier mode approximation. Using the Reynolds number as bifurcation parameter we build the corresponding diagram up to Re=100. We observe the coexistence of three coherent structures.
Ponetti, G., Sammartino, M., Sciacca, V. (2014). Formation of Coherent Structures in Kolmogorov Flow with Stratification and Drag. ACTA APPLICANDAE MATHEMATICAE, 132, 483-492 [10.1007/s10440-014-9927-7].
Formation of Coherent Structures in Kolmogorov Flow with Stratification and Drag
SAMMARTINO, Marco Maria Luigi;SCIACCA, Vincenzo
2014-01-01
Abstract
We study a weakly stratified Kolmogorov flow under the effect of a small linear drag. We perform a linear stability analysis of the basic state. We construct the finite dimensional dynamical system deriving from the truncated Fourier mode approximation. Using the Reynolds number as bifurcation parameter we build the corresponding diagram up to Re=100. We observe the coexistence of three coherent structures.
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