6533b831fe1ef96bd1298ff9

RESEARCH PRODUCT

Formation of Coherent Structures in Kolmogorov Flow with Stratification and Drag

G. PonettiVincenzo SciaccaMarco Sammartino

subject

Partial differential equationApplied MathematicsDiagramMathematical analysisReynolds numberDynamical systemPhysics::Fluid DynamicsLinear stability analysisymbols.namesakeFourier transformBifurcation theoryDragsymbolsBifurcation theoryEquilibriaTruncated Navier-Stokes equationsSettore MAT/07 - Fisica MatematicaBifurcationMathematics

description

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.

yearjournalcountryeditionlanguage
2014-05-17
10.1007/s10440-014-9927-7http://hdl.handle.net/10447/96788