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Mathematics of Computation

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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
MathSciNet review: 906179
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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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Article copyright: © Copyright 1987 American Mathematical Society