Resurrecting Core Spreading Vortex Methods: A New Scheme that is Both Deterministic and Convergent

@article{Rossi1996ResurrectingCS,
  title={Resurrecting Core Spreading Vortex Methods: A New Scheme that is Both Deterministic and Convergent},
  author={Louis F. Rossi},
  journal={SIAM J. Scientific Computing},
  year={1996},
  volume={17},
  pages={370-397}
}
A basic core spreading vortex scheme is inconsistent but can be corrected with a splitting algorithm, yielding a deterministic and efficient grid-free method for viscous flows. The splitting algorithm controls the consistency error by maintaining small vortex core sizes. Routine analysis will show that the core spreading method coupled to this splitting process is convergent in $L^p$ spaces. Analysis of the linearized residual operator establishes the uniform convergence of this method when the… CONTINUE READING

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