Artificial Boundary Conditions for "Vortex in Cell" Method

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Volume 21, Issue 1

Lijuan Ding, Haiyan Jiang & Zhenhuan Teng

J. Comp. Math., 21 (2003), pp. 5-14

Published online: 2003-02

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Abstract

This paper mainly designs artificial boundary conditions for "vortex in cell" method in solving two-dimensional incompressible inviscid fluid under two conditions: one is with periodical initial value in one direction and the other with compact supported initial value. To mimic the vortex motion, Euler equation is transformed into vorticity-stream function and the technique of vortex in cell is applied incorporating with the artificial boundary conditions.

Keywords

Incompressible inviscid flow Vortex in cell method Artificial boundary condition

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@Article{JCM-21-5, author = {}, title = {Artificial Boundary Conditions for "Vortex in Cell" Method}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {1}, pages = {5--14}, abstract = { This paper mainly designs artificial boundary conditions for "vortex in cell" method in solving two-dimensional incompressible inviscid fluid under two conditions: one is with periodical initial value in one direction and the other with compact supported initial value. To mimic the vortex motion, Euler equation is transformed into vorticity-stream function and the technique of vortex in cell is applied incorporating with the artificial boundary conditions. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8871.html} }

TY - JOUR T1 - Artificial Boundary Conditions for "Vortex in Cell" Method JO - Journal of Computational Mathematics VL - 1 SP - 5 EP - 14 PY - 2003 DA - 2003/02 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8871.html KW - Incompressible inviscid flow KW - Vortex in cell method KW - Artificial boundary condition AB - This paper mainly designs artificial boundary conditions for "vortex in cell" method in solving two-dimensional incompressible inviscid fluid under two conditions: one is with periodical initial value in one direction and the other with compact supported initial value. To mimic the vortex motion, Euler equation is transformed into vorticity-stream function and the technique of vortex in cell is applied incorporating with the artificial boundary conditions.

Lijuan Ding, Haiyan Jiang & Zhenhuan Teng . (1970). Artificial Boundary Conditions for "Vortex in Cell" Method. Journal of Computational Mathematics. 21 (1). 5-14. doi:

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