Convergence of a higher-order vortex method for two-dimensional Euler equations
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- by C. Chiu and R. A. Nicolaides PDF
- Math. Comp. 51 (1988), 507-534 Request permission
Abstract:
There has been considerable interest recently in the convergence properties of point vortex methods. In this paper, we define a vortex method using vortex multipoles and obtain error estimates for it. In the case of a nonuniform mesh, the rate of convergence of the dipolar algorithm is shown to be of higher order of accuracy than obtained with the simple vortex methods.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Math. Comp. 51 (1988), 507-534
- MSC: Primary 65N30; Secondary 76-08, 76C05
- DOI: https://doi.org/10.1090/S0025-5718-1988-0935078-2
- MathSciNet review: 935078