Vortex methods. ii: Higher order accuracy in two and three dimensions
Publication
, Journal Article
Beale, JT; Majda, A
Published in: Mathematics of Computation
January 1, 1982
In an earlier paper the authors introduced a new version of the vortex method for three-dimensional, incompressible flows and proved that it converges to arbitrarily high order accuracy, provided we assume the consistency of a discrete approximation to the Biot-Savart Law. We prove this consistency statement here, and also derive substantially sharper results for two-dimensional flows. A complete, simplified proof of convergence in two dimensions is included. © 1982 American Mathematical Society.
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Published In
Mathematics of Computation
DOI
ISSN
0025-5718
Publication Date
January 1, 1982
Volume
39
Issue
159
Start / End Page
29 / 52
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
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Beale, J. T., & Majda, A. (1982). Vortex methods. ii: Higher order accuracy in two and three dimensions. Mathematics of Computation, 39(159), 29–52. https://doi.org/10.1090/S0025-5718-1982-0658213-7
Beale, J. T., and A. Majda. “Vortex methods. ii: Higher order accuracy in two and three dimensions.” Mathematics of Computation 39, no. 159 (January 1, 1982): 29–52. https://doi.org/10.1090/S0025-5718-1982-0658213-7.
Beale JT, Majda A. Vortex methods. ii: Higher order accuracy in two and three dimensions. Mathematics of Computation. 1982 Jan 1;39(159):29–52.
Beale, J. T., and A. Majda. “Vortex methods. ii: Higher order accuracy in two and three dimensions.” Mathematics of Computation, vol. 39, no. 159, Jan. 1982, pp. 29–52. Scopus, doi:10.1090/S0025-5718-1982-0658213-7.
Beale JT, Majda A. Vortex methods. ii: Higher order accuracy in two and three dimensions. Mathematics of Computation. 1982 Jan 1;39(159):29–52.
Published In
Mathematics of Computation
DOI
ISSN
0025-5718
Publication Date
January 1, 1982
Volume
39
Issue
159
Start / End Page
29 / 52
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics