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Volume 17, Issue 4
Correction Methods for Steady Incompressible Flows

Jian Li

J. Comp. Math., 17 (1999), pp. 419-424.

Published online: 1999-08

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  • Abstract

Correction methods for the steady semi-periodic motion of incompressible fluid are investigated. The idea is similar to the influence matrix to solve the lack of vorticity boundary conditions. For any given boundary condition of the vorticity, the coupled vorticity-stream function formulation is solved. Then solve the governing equations with the correction boundary conditions to improve the solution. These equations are numerically solved by Fourier series truncation and finite difference method. The two numerical techniques are employed to treat the non-linear terms. The first method for small Reynolds number $R=0-50$ has the same results as that in M. Anwar and S.C.R. Dennis' report. The second one for $R>50$ obtains the reliable results.

  • Keywords

Incompressible flow, vorticity, stream function, numerical solution.

  • AMS Subject Headings

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-419, author = {Jian Li}, title = {Correction Methods for Steady Incompressible Flows}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {4}, pages = {419--424}, abstract = {

Correction methods for the steady semi-periodic motion of incompressible fluid are investigated. The idea is similar to the influence matrix to solve the lack of vorticity boundary conditions. For any given boundary condition of the vorticity, the coupled vorticity-stream function formulation is solved. Then solve the governing equations with the correction boundary conditions to improve the solution. These equations are numerically solved by Fourier series truncation and finite difference method. The two numerical techniques are employed to treat the non-linear terms. The first method for small Reynolds number $R=0-50$ has the same results as that in M. Anwar and S.C.R. Dennis' report. The second one for $R>50$ obtains the reliable results.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9112.html} }
TY - JOUR T1 - Correction Methods for Steady Incompressible Flows AU - Jian Li JO - Journal of Computational Mathematics VL - 4 SP - 419 EP - 424 PY - 1999 DA - 1999/08 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9112.html KW - Incompressible flow, vorticity, stream function, numerical solution. AB -

Correction methods for the steady semi-periodic motion of incompressible fluid are investigated. The idea is similar to the influence matrix to solve the lack of vorticity boundary conditions. For any given boundary condition of the vorticity, the coupled vorticity-stream function formulation is solved. Then solve the governing equations with the correction boundary conditions to improve the solution. These equations are numerically solved by Fourier series truncation and finite difference method. The two numerical techniques are employed to treat the non-linear terms. The first method for small Reynolds number $R=0-50$ has the same results as that in M. Anwar and S.C.R. Dennis' report. The second one for $R>50$ obtains the reliable results.

Jian Li. (1999). Correction Methods for Steady Incompressible Flows. Journal of Computational Mathematics. 17 (4). 419-424. doi:
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