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Abstract We prove consistency, stability and convergence of the point vortex approximation to the 2‐D incompressible Euler equations with smooth solutions. We first show that the discretization error is second‐order accurate. Then we show that the method is stable in l p norm. Consequently the method converges in l p norm for all time. The convergence is also illustrated by a numerical experiment.
Goodman et al. (Sun,) studied this question.
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