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Accuracy of a deterministic particle method for Navier‐Stokes equations
Author(s) -
Choquin J. P.,
LucquinDesreux B.
Publication year - 1988
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650081105
Subject(s) - vorticity , inviscid flow , mathematics , vortex , interpolation (computer graphics) , mathematical analysis , stream function , navier–stokes equations , euler equations , quadratic equation , burgers vortex , vorticity equation , classical mechanics , physics , mechanics , geometry , motion (physics) , compressibility
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.