Numerical Calculation of Three-Dimensional Interfacial Potential Flows Using the Point Vortex Method

@article{Haroldsen1998NumericalCO,
  title={Numerical Calculation of Three-Dimensional Interfacial Potential Flows Using the Point Vortex Method},
  author={David J. Haroldsen and Daniel I. Meiron},
  journal={SIAM J. Scientific Computing},
  year={1998},
  volume={20},
  pages={648-683}
}
An application of the point vortex method to the singular Biot–Savart integrals used in water wave calculations is presented. The error for this approximation is shown to be a series in odd powers of h. A method for calculating the coefficients in the series is presented. 
Highly Cited
This paper has 18 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 11 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 13 references

Vortex Dynamics

P. G. Saffman
Cambridge University Press, New York • 1992
View 4 Excerpts
Highly Influenced

Convergence of the point vortex method for the 3-D Euler equations

T. Y. Hou, J. Lowengrub
Comm. Pure Appl. Math., 43 • 1990
View 15 Excerpts
Highly Influenced

Convergence of the point vortex method for the 2-D Euler equations

J. Goodman, T. Y. Hou, J. Lowengrub
Comm. Pure Appl. Math., 43 • 1990
View 8 Excerpts
Highly Influenced

Boundary integral methods for axisymmetric and three-dimensional Rayleigh-Taylor instability problems

G. R. Baker, D. I. Meiron, S. A. Orszag
Phys. D, 12D • 1984
View 5 Excerpts
Highly Influenced

Generalized vortex methods for free-surface flow problems

G. R. Baker, D. I. Meiron, S. A. Orszag
J. Fluid Mech., 123 • 1982
View 4 Excerpts
Highly Influenced

An extension of the Euler-Maclaurin summation formula to functions with a branch singularity

I. Navot
J. Math. Phys., 40 • 1961
View 4 Excerpts
Highly Influenced

A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method

M. J. Shelley
J. Fluid Mech., 244 • 1992
View 6 Excerpts
Highly Influenced

Convergence of a point vortex method for vortex sheets

T. Y. Hou, J. Lowengrub, R. Krasny
SIAM J. Numer. Anal., 28 • 1991
View 2 Excerpts

Similar Papers

Loading similar papers…