Convergence of vortex methods for Euler’s equations
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 by Ole Hald and Vincenza Mauceri del Prete PDF
 Math. Comp. 32 (1978), 791809 Request permission
Abstract:
A numerical method for approximating the flow of a two dimensional incompressible, inviscid fluid is examined. It is proved that for a short time interval Chorin’s vortex method converges superlinearly toward the solution of Euler’s equations, which govern the flow. The length of the time interval depends upon the smoothness of the flow and of the particular cutoff. The theory is supported by numerical experiments. These suggest that the vortex method may even be a second order method.References

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Additional Information
 © Copyright 1978 American Mathematical Society
 Journal: Math. Comp. 32 (1978), 791809
 MSC: Primary 76C05; Secondary 65N99
 DOI: https://doi.org/10.1090/S00255718197804920391
 MathSciNet review: 492039