Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 937-948
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The computations in a vortex method for three-dimensional fluid dynamics simulation are accelerated by applying mosaic-skeleton approximations of matrices in the velocity computations. A modified vortex segment method is proposed in which mosaic-skeleton matrix approximations are effectively used to solve the problem of a vorticity field developing in an unbounded three-dimensional domain and in separated flow problems. Examples of the numerical solution of model fluid dynamic problems, such as the motion of a pair of vortex rings, the flow past a hemisphere, and the flow past an octahedral cylinder, are given that illustrate the capability of accelerating the computations while preserving the qualitative and quantitative description of the flow.
@article{ZVMMF_2010_50_5_a11,
author = {A. A. Aparinov and A. V. Setukha},
title = {Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {937--948},
publisher = {mathdoc},
volume = {50},
number = {5},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a11/}
}
TY - JOUR AU - A. A. Aparinov AU - A. V. Setukha TI - Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 937 EP - 948 VL - 50 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a11/ LA - ru ID - ZVMMF_2010_50_5_a11 ER -
%0 Journal Article %A A. A. Aparinov %A A. V. Setukha %T Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 937-948 %V 50 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a11/ %G ru %F ZVMMF_2010_50_5_a11
A. A. Aparinov; A. V. Setukha. Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 937-948. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a11/