Kevlahan, N. K.-R.; Farge, M. Vorticity filaments in two-dimensional turbulence: Creation, stability and effect. (English) Zbl 0910.76026 J. Fluid Mech. 346, 49-76 (1997). The formation, persistence, and effect of vorticity filaments are examined using a high resolution direct numerical simulation (DNS) of the merging of two positive Gaussian vortices pushed together by a weaker negative vortex. The authors come to the conclusion that the coherent vortex stabilizes the filaments. An asymptotic analysis and DNS for weak external strain show that a circular filament at a distance \(R\) from the vortex center always reduces the deformation of a Lamb’s (Gaussian) vortex in the region \(r\leq R\). The results are useful for the modeling of coherent and incoherent parts of two-dimensional flows. Reviewer: A.V.Gemintern (Haifa) Cited in 27 Documents MSC: 76F10 Shear flows and turbulence 76D99 Incompressible viscous fluids Keywords:Lamb’s vortex; high resolution direct numerical simulation; merging of two positive Gaussian vortices; negative vortex; asymptotic analysis PDFBibTeX XMLCite \textit{N. K. R. Kevlahan} and \textit{M. Farge}, J. Fluid Mech. 346, 49--76 (1997; Zbl 0910.76026) Full Text: DOI