Unimodal patterns appearing in the two-dimensional Navier-Stokes flows under general forcing at large Reynolds numbers

DOI10.1016/j.euromechflu.2017.04.004zbMath1408.76139OpenAlexW2608004089MaRDI QIDQ1672200

Tomoyuki Miyaji, Sun-Chul Kim, Hisashi Okamoto

Publication date: 7 September 2018

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2017.04.004

zbMATH Keywords

bifurcationpattern formationtwo-dimensional Navier-Stokes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fundamentals of turbulence (76F02)

Related Items

Exact coherent structures in fully developed two-dimensional turbulence ⋮ Existence proof of unimodal solutions of the Proudman-Johnson equation via interval analysis ⋮ On the Stability of Two-Dimensional Flows Close to the Shear ⋮ Motion of three geostrophic Bessel vortices ⋮ Stationary flows with highly localized vorticity of the incompressible viscous fluid at large Reynolds numbers ⋮ Bimodal vortex solutions on a sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vortices of large scale appearing in the 2D stationary Navier-Stokes equations at large Reynolds numbers
• Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori
• An example of absence of turbulence for any Reynolds number
• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• Nearly singular two-dimensional Kolmogorov flows for large Reynolds numbers
• The generalized Proudman-Johnson equation and its singular perturbation problems
• Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes
• Two-Dimensional Turbulence
• Unimodal patterns appearing in the Kolmogorov flows at large Reynolds numbers
• Bifurcation structure of two-dimensional viscous zonal flows on a rotating sphere
• Long-time asymptotic states of forced two-dimensional barotropic incompressible flows on a rotating sphere
• The generalized Proudman-Johnson equation at large Reynolds numbers
• A two-dimensional vortex condensate at high Reynolds number
• Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow
• Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid
• Two-dimensional turbulence: a physicist approach