4.7 Article

The pitfalls of investigating rotational flows with the Euler equations

Related references

Note: Only part of the references are listed.
Article Mechanics

The decay of Hill's vortex in a rotating flow

Matthew N. Crowe et al.

Summary: This study models the decay of Hill's vortex in a weakly rotating flow, deriving analytic results for the modification of the vortex structure by rotational effects and the generated wave field. Predictions for the decay of vortex speed and radius are made using an asymptotic approach, and results are compared against numerical simulations of the full axisymmetric Navier-Stokes equations.

JOURNAL OF FLUID MECHANICS (2021)

Article Mechanics

Linear stability of inviscid vortex rings to axisymmetric perturbations

Bartosz Protas

JOURNAL OF FLUID MECHANICS (2019)

Article Mathematics, Applied

Asymptotic analysis of the attractors in two-dimensional Kolmogorov flow

W. R. Smith et al.

EUROPEAN JOURNAL OF APPLIED MATHEMATICS (2018)

Article Mechanics

Linear stability of Hill's vortex to axisymmetric perturbations

Bartosz Protas et al.

JOURNAL OF FLUID MECHANICS (2016)

Article Mathematics, Applied

TRAVELING WAVES IN TWO-DIMENSIONAL PLANE POISEUILLE FLOW

Warren R. Smith et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2015)

Article Mechanics

Viscous selection of an elliptical dipole

Ziv Kizner et al.

JOURNAL OF FLUID MECHANICS (2010)

Article Mathematics, Applied

Modulation equations and Reynolds averaging for finite-amplitude non-linear waves in an incompressible fluid

Warren R. Smith

IMA JOURNAL OF APPLIED MATHEMATICS (2007)

Article Mechanics

Axisymmetric inviscid interaction of a bubble and a vortex ring

FJ Higuera

PHYSICS OF FLUIDS (2004)

Article Mechanics

Dynamics of ring vortices impinging on planar shock waves

S Pirozzoli

PHYSICS OF FLUIDS (2004)