Convergence of a higher-order vortex method for two-dimensional Euler equations

Chiu, C.; Nicolaides, R. A.

doi:10.1090/S0025-5718-1988-0935078-2

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.

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