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Volume 18, Issue 3
Convergence of Vortex Methods for 3-D Euler Equations

Jia-Fu Lin

J. Comp. Math., 18 (2000), pp. 239-250.

Published online: 2000-06

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  • Abstract

In this paper we apply an approach introduced in [6] [7], where continuous norms and high order estimates and extension are used, to study the convergence of vortex methods for the 3-D Euler equations in bounded domains as the initial vorticity $w_0$ and the curl of the body force $f$ are non-compactly supported functions. Convergence results are proved.

  • Keywords

Euler equations, Vortex methods, Convergence, Initial-boundary value problem.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-239, author = {Lin , Jia-Fu}, title = {Convergence of Vortex Methods for 3-D Euler Equations}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {3}, pages = {239--250}, abstract = {

In this paper we apply an approach introduced in [6] [7], where continuous norms and high order estimates and extension are used, to study the convergence of vortex methods for the 3-D Euler equations in bounded domains as the initial vorticity $w_0$ and the curl of the body force $f$ are non-compactly supported functions. Convergence results are proved.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9038.html} }
TY - JOUR T1 - Convergence of Vortex Methods for 3-D Euler Equations AU - Lin , Jia-Fu JO - Journal of Computational Mathematics VL - 3 SP - 239 EP - 250 PY - 2000 DA - 2000/06 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9038.html KW - Euler equations, Vortex methods, Convergence, Initial-boundary value problem. AB -

In this paper we apply an approach introduced in [6] [7], where continuous norms and high order estimates and extension are used, to study the convergence of vortex methods for the 3-D Euler equations in bounded domains as the initial vorticity $w_0$ and the curl of the body force $f$ are non-compactly supported functions. Convergence results are proved.

Lin , Jia-Fu. (2000). Convergence of Vortex Methods for 3-D Euler Equations. Journal of Computational Mathematics. 18 (3). 239-250. doi:
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