"A contour-advective semi-Lagrangian numerical algorithm for the problem of interaction between a vortex and an isolated topographic feature on a β-plane"
Baranov A.A. and Permyakov M.S.

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 β-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, β-plane, potential vorticity.

  • Baranov A.A. – Far Eastern Federal University, School of Natural Sciences; ulitsa Sukhanova 8, Vladivostok, 690950, Russia; Graduate Student, e-mail: armath123@gmail.com
  • Permyakov M.S. – Far Eastern Federal University, School of Natural Sciences; ulitsa Sukhanova 8, Vladivostok, 690950, Russia; Dr. Sci., Professor, Head of Laboratory, e-mail: permyakov@poi.dvo.ru