Geodesic
Analysis of accuracy and computational efficiency of the contour advection method for the barotropic vorticity equation
Numerical methods and programming, Tome 15 (2014) no. 2, pp. 337-350

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The accuracy and computational efficiency of contour advection schemes for the simulation of two-dimensional inviscid incompressible flows are analyzed. Their comparison with the contour dynamics method is performed. The results obtained show that the semi-Lagrangian contour advection algorithm is very efficient when the relation of the domain size to the characteristic length of the flow is small or when the vorticity field is approximated by a large number of contours. This approach allows one to achieve a higher accuracy with an increase in computational cost.
Keywords: geophysical hydrodynamics, computational hydrodynamics
Mots-clés : contour dynamics, contour advection. 
@article{VMP_2014_15_2_a12,
     author = {A. A. Baranov and M. S. Permyakov},
     title = {Analysis of accuracy and computational efficiency of the contour advection method for the barotropic vorticity equation},
     journal = {Numerical methods and programming},
     pages = {337--350},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_2_a12/}
}
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A. A. Baranov; M. S. Permyakov. Analysis of accuracy and computational efficiency of the contour advection method for the barotropic vorticity equation. Numerical methods and programming, Tome 15 (2014) no. 2, pp. 337-350. http://geodesic.mathdoc.fr/item/VMP_2014_15_2_a12/