Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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