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作者:Chjan C. Lim
来源:[J].Physica A: Statistical Mechanics and its Applications(IF 1.676), 2001, Vol.290 (1), pp.131-158
摘要:Abstract(#br)The equilibrium statistical mechanics of the energy-enstrophy theory for the barotropic vorticity equation is solved exactly in the sense that a explicitly nonGaussian configurational integral is calculated in closed form. A family of lattice vortex gas models for t...
作者:Peili Wu , W. T. M. Verkley
来源:[J].Geophysical & Astrophysical Fluid Dynamics(IF 1.186), 1993, Vol.69 (1-4), pp.77-94
摘要:Finite-amplitude solutions are sought to the Barotropic Vorticity Equation (BVE) on a sphere in the presence of realistic zonal flows. The new solutions are characterized by multivalued (q, Ψ) relationships, and can be constructed analytically. The resulting zonal flows and...
作者:Jianping Xiao , Lei Wang , John P. Boyd
来源:[J].Journal of Computational Physics(IF 2.138), 2015, Vol.285, pp.208-225
摘要:Abstract(#br)Vortex blob methods approximate a flow as a sum of many small vortices of Gaussian shape, and adaptively move the vortex centers with the current. Gaussian radial basis functions (RBFs) do exactly the same. However, RBFs solve an exact interpolation problem — ex...
作者:Mina B. Abd-el-Malek , Amr M. Amin
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2018, Vol.75 (4), pp.1443-1461
摘要:Abstract(#br)In studying the problem of the nonlinear viscous barotropic non-divergent vorticity equation on f - and β - planes, the method of Lie group has been applied. The method reduces the number of independent variables by one, and consequently, for the case of three i...
作者:Philip A. Browne
来源:[J].Tellus: Series A, Dynamic Meteorology and Oceanography, 2016, Vol.68, pp.1-18
摘要:... Both methods are applied to the barotropic vorticity equation for different networks of observations. In all cases, it was found that the LETKF produced lower root mean–squared errors than the EWPF. The performance of the EWPF is shown to depend strongly on the form of n...
作者:Ratikanta Behera , Mani Mehra
来源:[J].Applied Mathematical Modelling(IF 1.706), 2013, Vol.37 (7), pp.5215-5226
摘要:Abstract(#br)In this paper, we present the multilevel adaptive wavelet collocation method for solving non-divergent barotropic vorticity equation over spherical geodesic grid. This method is based on multi-dimensional second generation wavelet over a spherical geodesic grid. The ...
作者:Fariba Bahrami , Hadi Taghvafard , Jonas Nycander ...
来源:[J].Communications in Nonlinear Science and Numerical Simulation(IF 2.773), 2013, Vol.18 (3), pp.541-546
摘要:... In this note, stability means nonlinear stability in the p-norm on the space of vorticity.
作者:Elsa Dos Santos Cardoso-Bihlo , Roman O. Popovych
来源:[J].Journal of Engineering Mathematics(IF 1.075), 2013, Vol.82 (1), pp.31-38
摘要:Abstract(#br)The complete point symmetry group of the barotropic vorticity equation on a rotating sphere is determined. The method we use relies on the invariance of megaideals of the maximal Lie invariance algebra of a system of differential equations under automorphisms generat...
作者:Philip A. Browne
来源:[J].Tellus A: Dynamic Meteorology and Oceanography, 2016, Vol.68 (1)
摘要:... Both methods are applied to the barotropic vorticity equation for different networks of observations. In all cases, it was found that the LETKF produced lower root mean–squared errors than the EWPF. The performance of the EWPF is shown to depend strongly on the form of n...

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