Exact solutions for rotating vortex arrays with finite-area cores
From MaRDI portal
Publication:4797134
DOI10.1017/S0022112002001817zbMath1019.76011MaRDI QIDQ4797134
Publication date: 2002
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
contour dynamicslinear stabilityexact solutionstwo-dimensional Euler equationsuniform vorticityfinite-area patchrotating vortical equilibriasatellite line vorticesvortex patch equilibria
Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Hydrodynamic stability (76E99)
Related Items
Multipole Vortex Patch Equilibria for Active Scalar Equations, Spontaneous generation of vortex crystals from forced two-dimensional homogeneous turbulence, An analytical study of the self-induced inviscid dynamics of two-dimensional uniform vortices, Initial stages of the interaction between uniform and pointwise vortices in an inviscid fluid, Analytical solutions for annular multipolar vortex equilibria on a sphere, Shape calculus for vortex patch equilibria and its application to lattice configurations, Computation of Hele-Shaw free boundary problems near obstacles, Exact solutions for submerged von Kármán point vortex streets cotravelling with a wave on a linear shear current, Exact coherent structures in fully developed two-dimensional turbulence, Point vortex dynamics: A classical mathematics playground, Rotating multipoles on the f- and γ-planes, An efficient and general numerical method to compute steady uniform vortices, Three-dimensional quasi-geostrophic vortex equilibria with -fold symmetry, Polygonal N-vortex arrays: A Stuart model, Point vortices with a rational necklace: New exact stationary solutions of the two-dimensional Euler equation, Growing vortex patches, Dipole and multipole flows with point vortices and vortex sheets, Analytical solutions for distributed multipolar vortex equilibria on a sphere, Family of propagating vortex-wave equilibria for the two-dimensional Euler equations, On rotating doubly connected vortices, A new translating quasigeostrophic V-state, Vortex trapping on a surface with an indentation and corrugations, Vortex structures with complex points singularities in two-dimensional Euler equations. New exact solutions, Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation, Velocity induced by a plane uniform vortex having the Schwarz function of its boundary with two simple poles, Three-dimensional quasi-geostrophic staggered vortex arrays, Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations, The centroid-deformation decomposition for buoyant vortex patch motion, Steady interaction of a vortex street with a shear flow