Convergence of the Vortex Filament Method
- 1 October 1986
- journal article
- research article
- Published by JSTOR in Mathematics of Computation
- Vol. 47 (176) , 387-398
- https://doi.org/10.2307/2008162
Abstract
Fully discrete convergence estimates have previously been given for the three-dimensional vortex method proposed by Beale and Majda. It is shown in this paper that vortex filament methods of the kind used in practice converge, provided smooth vortex structures consisting of closed filaments are appropriately discretized, and the stretching of the discrete filaments is computed sufficiently accurately. The error estimates obtained are those of the previous theory.This publication has 6 references indexed in Scilit:
- On Vortex MethodsSIAM Journal on Numerical Analysis, 1985
- Particle Methods for the One-Dimensional Vlasov–Poisson EquationsSIAM Journal on Numerical Analysis, 1984
- Vortex Methods. I: Convergence in Three DimensionsMathematics of Computation, 1982
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- Estimates of intermittency, spectra, and blow-up in developed turbulenceCommunications on Pure and Applied Mathematics, 1981
- Convergence of Vortex Methods for Euler’s Equations. IISIAM Journal on Numerical Analysis, 1979