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={L. Rossi},
  journal={SIAM J. Sci. Comput.},
  year={1996},
  volume={17},
  pages={370-397}
}
  • L. Rossi
  • Published 1996
  • Mathematics, Computer Science
  • SIAM J. Sci. Comput.
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… Expand
92 Citations
A fast resurrected core-spreading vortex method with no-slip boundary conditions
  • 14
A Further Improvement on the Resurrected Core-Spreading Vortex Method
Investigation of vortical flows over oscillating body using fast Lagrangian vortex method
Theoretical and numerical results of a deterministic two-dimensional vortex method
  • 6
Vortex Method for computing high-Reynolds number flows: Increased accuracy with a fully mesh-less formulation.
  • 31
  • Highly Influenced
  • PDF
Two-Dimensional Fast Lagrangian Vortex Method for Simulating Flows around a Moving Boundary
  • Highly Influenced
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 12 REFERENCES
An Introduction to Fluid Dynamics
  • 10,208
  • PDF
The core spreading vortex method approximates the wrong equation
  • 99
  • Highly Influential
An Introduction To Probability Theory And Its Applications
  • 10,864
  • PDF
BEALE AND A. MAJDA, Vortex methods. II: Higher order accuracy in two and three dimensions
  • Math. Comp.,
  • 1982
HALO, Convergence of vortex methods for Euler’s
  • SIAM J. Numer. Anal.,
  • 1979
nou, New stability estimates for the 2-D vortex method, Comm
  • Pure Appl. Math.,
  • 1991
SETHIAN , On measuring the accuracy ofthe vortex method : Using a random method to model stable and unstableflow
  • 1987
...
1
2
...