Geodesic
A contour-advective semi-Lagrangian numerical algorithm for the problem of interaction between a vortex and an isolated topographic feature on a $\beta$-plane
Numerical methods and programming, Tome 15 (2014) no. 4, pp. 621-630.

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The main stages of a contour-advective semi-Lagrangian algorithm for the simulation of inviscid incompressible flows with variable depth on the rotating Earth are considered. The numerical results for the case when a vortex encounters an axisymmetric topographic feature on a $\beta$-plane are discussed. The accuracy of the method for different values of the its parameters is numerically estimated. The contour-advective method is compared with the finite-difference method. It is shown that the contour-advective semi-Lagrangian algorithm is very efficient to represent a fine-scale structures of potential vorticity fields.
Keywords: geophysical fluid dynamics, topography, $\beta$-plane, potential vorticity.
Mots-clés : contour dynamics, contour advection 
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     author = {A. A. Baranov and M. S. Permyakov},
     title = {A contour-advective {semi-Lagrangian} numerical algorithm for the problem of interaction between a vortex and an isolated topographic feature on a $\beta$-plane},
     journal = {Numerical methods and programming},
     pages = {621--630},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a7/}
}
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A. A. Baranov; M. S. Permyakov. A contour-advective semi-Lagrangian numerical algorithm for the problem of interaction between a vortex and an isolated topographic feature on a $\beta$-plane. Numerical methods and programming, Tome 15 (2014) no. 4, pp. 621-630. http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a7/