Lyapunov–Schmidt reduction algorithm for three-dimensional discrete vortices
نویسندگان
چکیده
منابع مشابه
Stationary vortices in three - dimensional
An existence theorem for localised stationary vortex solutions in an external shear ow is proved for three-dimensional quasigeostrophic ow in an unbounded domain. The external ow is a linear shear ow whose strength varies linearly with height. The ow conserves an in nite family of Casimir integrals. Flows that have the same value of all Casimir integrals are called isovortical ows, and the pote...
متن کاملThree-dimensional stability of Burgers vortices
Burgers vortices are explicit stationary solutions of the Navier-Stokes equations which are often used to describe the vortex tubes observed in numerical simulations of threedimensional turbulence. In this model, the velocity field is a two-dimensional perturbation of a linear straining flow with axial symmetry. The only free parameter is the Reynolds number Re = Γ/ν, where Γ is the total circu...
متن کاملThree-Dimensional Vortices in Stratified Protoplanetary Disks
We present the results of high-resolution, three-dimensional (3D) hydrodynamic simulations of the dynamics and formation of coherent, long-lived vortices in stably-stratified protoplanetary disks. Tall, columnar vortices that extend vertically through many scale heights in the disk are unstable to small perturbations; such vortices cannot maintain vertical alignment over more than a couple scal...
متن کاملA new conforming mesh generator for three-dimensional discrete fracture networks
Nowadays, numerical modelings play a key role in analyzing hydraulic problems in fractured rock media. The discrete fracture network model is one of the most used numerical models to simulate the geometrical structure of a rock-mass. In such media, discontinuities are considered as discrete paths for fluid flow through the rock-mass while its matrix is assumed impermeable. There are two main pa...
متن کاملThree-dimensional solitary waves and vortices in a discrete nonlinear Schrödinger lattice.
In a benchmark dynamical-lattice model in three dimensions, the discrete nonlinear Schrödinger equation, we find discrete vortex solitons with various values of the topological charge S. Stability regions for the vortices with S=0,1,3 are investigated. The S=2 vortex is unstable and may spontaneously rearranging into a stable one with S=3. In a two-component extension of the model, we find a no...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2008
ISSN: 0167-2789
DOI: 10.1016/j.physd.2007.09.005