Preferred equilibrium solutions of the barotropic vorticity equation
نویسندگان
چکیده
منابع مشابه
Lie symmetries and exact solutions of barotropic vorticity equation
The Lie group method is used in order to investigate various issues related to symmetries and exact solutions of the barotropic vorticity equation. This is done in a similar but more systematic and complete way as given by Huang and Lou [Phys. Lett. A. 320 (2004) 428–437]. The Lie symmetries of the barotropic vorticity equations on the f and β-planes as well as on the sphere in rotating and res...
متن کاملSymmetry Analysis of Barotropic Potential Vorticity Equation
Recently F. Huang [Commun. Theor. Phys. 42 (2004) 903] and X. Tang and P.K. Shukla [Commun. Theor. Phys. 49 (2008) 229] investigated symmetry properties of the barotropic potential vorticity equation without forcing and dissipation on the beta-plane. This equation is governed by two dimensionless parameters, F and β, representing the ratio of the characteristic length scale to the Rossby radius...
متن کاملExact solutions of a energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere
The equilibrium statistical mechanics of the energy-enstrophy theory for the barotropic vorticity equation is solved exactly in the sense that a explicitly non-Gaussian configurational integral is calculated in closed form. A family of lattice vortex gas models for the barotropic vorticity equation (BVE) is derived and shown to have a well-defined nonextensive continuum limit as the coarse-grai...
متن کاملAsymptotic Behavior and Stability of Solutions to Barotropic Vorticity Equation on a Sphere
Orthogonal projectors on the subspace Hn of homogeneous spherical polynomials of degree n and on the subspace PN of spherical polynomials of degree n ≤ N are defined for functions on the unit sphere S, and their derivatives Λs of real degree s are introduced by using the multiplier operators. A family of Hilbert spaces Hs of generalized functions having fractional derivatives of real degree s o...
متن کاملError Estimation of Pseudospectral Method for Solving the Barotropic Vorticity Equation
The barotropic vorticity equation model is very important in the research of meteorological science and applied mathematics. Many scientists pay attention to the research of numerical methods of this equation. The early works were mainly concerned with finite difference methods [2, 4, 8, 9, 13]. The spectral method has a convergence rate of ”infinite” order, i.e., the error decays faster than a...
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: Theoretical and Applied Climatology
سال: 2020
ISSN: 0177-798X,1434-4483
DOI: 10.1007/s00704-020-03232-1