Convergence of a vortex in cell method for the two-dimensional Euler equations-Reference-Cited by-同舟云学术

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

Published:1987 Issue:180 Volume:49 Page:407-425
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Cottet G.-H.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1987-49-180/S0025-5718-1987-0906179-9/S0025-5718-1987-0906179-9.pdf

Reference11 articles.

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3. G. H. Cottet, Thèse de 3ème cycle, Université Paris VI, 1982.

4. G. H. Cottet, "A new approach for the analysis of vortex methods in two and three dimensions," Ann. Inst. H. Poincarè. (Submitted.)

5. On particle-in-cell methods for the Vlasov-Poisson equations;Cottet, G.-H.;Transport Theory Statist. Phys.,1986

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