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Numerical methods and programming, 2014, Volume 15, Issue 4, Pages 621–630
(Mi vmp278)
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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.
Received: 15.09.2014
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
Linking options:
https://www.mathnet.ru/eng/vmp278 https://www.mathnet.ru/eng/vmp/v15/i4/p621
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