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Accuracy of a deterministic particle method for Navier-Stokes equations

✍ Scribed by J. P. Choquin; B. Lucquin-Desreux

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
816 KB
Volume
8
Category
Article
ISSN
0271-2091

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✦ Synopsis

The accuracy of a deterministic particle method in approximating the solution of the Navier-Stokes equations is investigated. The convective part is solved using a classical vortex method for inviscid fluids, and an iterative procedure is added to improve the interpolation of the vorticity function. In our examples the vorticity is radially symmetric. For a regular initial data, a discrete quadratic error on the velocity and the vorticity is considered. Otherwise, for a singular initial data, the exact and computed angular moments of the vorticity are compared.

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