Convergence of a vortex in cell method for the two-dimensional Euler equations

Author:
G.-H. Cottet

Journal:
Math. Comp. **49** (1987), 407-425

MSC:
Primary 65P05; Secondary 35Q10, 76-08, 76N15

DOI:
https://doi.org/10.1090/S0025-5718-1987-0906179-9

MathSciNet review:
906179

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Abstract | References | Similar Articles | Additional Information

Abstract: We describe a Vortex In Cell method in which the assignment function used to compute vorticity values at the grid points from particles is twice differentiable, while the velocity need only be continuous. We prove an error estimate for the velocity in terms of the meshsize, the interparticle distance and the size of the computational domain.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1987-0906179-9

Article copyright:
© Copyright 1987
American Mathematical Society