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A new desingularization for vortex methods


Author: Thomas Y. Hou
Journal: Math. Comp. 58 (1992), 103-117
MSC: Primary 76M25; Secondary 65M12, 76C05
MathSciNet review: 1106971
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Abstract: A new desingularization is introduced for the vortex method. The idea is to subtract off the most singular part in the discrete approximation to the velocity integral and replace it by the velocity of a vortex patch of constant vorticity, which can be evaluated explicitly. Stability and convergence of the method are obtained in the maximum norm. Preliminary numerical results are presented.


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DOI: https://doi.org/10.1090/S0025-5718-1992-1106971-6
Keywords: Vortex method, desingularization, large time accuracy
Article copyright: © Copyright 1992 American Mathematical Society