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 Num. Meth. Prog., 2014, Volume 15, Issue 4, Pages 621–630 (Mi vmp278)

A contour-advective semi-Lagrangian numerical algorithm for the problem of interaction between a vortex and an isolated topographic feature on a $\beta$-plane

A. A. Baranova, M. S. Permyakovb

a Far Eastern Federal University, Vladivostok
b V. I. Il'ichev Pacific Oceanological Institute, Far Eastern Branch of RAS, Vladivostok

Abstract: 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, contour dynamics, contour advection, topography, $\beta$-plane, potential vorticity.

Full text: PDF file (1559 kB)
UDC: 519.6; 532.5; 551.465

Citation: 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”, Num. Meth. Prog., 15:4 (2014), 621–630

Citation in format AMSBIB
\Bibitem{BarPer14} \by A.~A.~Baranov, M.~S.~Permyakov \paper A contour-advective semi-Lagrangian numerical algorithm for the problem of interaction between a vortex and an isolated topographic feature on a $\beta$-plane \jour Num. Meth. Prog. \yr 2014 \vol 15 \issue 4 \pages 621--630 \mathnet{http://mi.mathnet.ru/vmp278}