A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations
We the solvability of the two-dimensional stream function-vorticity formulation of the Navier-Stokes equations. We use the time discretization and the method of characteristics order one for solving a quasi-Stokes system that we discretize by a piecewise continuous finite element method. A stabi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2017-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/24/abstr.html |
| _version_ | 1828412223947538432 |
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| author | Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine |
| author_facet | Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine |
| author_sort | Mohamed Abdelwahed |
| collection | DOAJ |
| description | We the solvability of the two-dimensional stream function-vorticity formulation
of the Navier-Stokes equations. We use the time discretization and the
method of characteristics order one for solving a quasi-Stokes system
that we discretize by a piecewise continuous finite element method.
A stabilization technique is used to overcome the loss of optimal error
estimate. Finally a parallel numerical algorithm is presented and tested. |
| first_indexed | 2024-12-10T12:45:11Z |
| format | Article |
| id | doaj.art-18b82151e3e14e5a8ad57dc174d07f1c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T12:45:11Z |
| publishDate | 2017-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-18b82151e3e14e5a8ad57dc174d07f1c2022-12-22T01:48:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-01-01201724,110A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equationsMohamed Abdelwahed0Nejmeddine Chorfi1Maatoug Hassine2 King Saud Univ., Riyadh, Saudi Arabia King Saud Univ., Riyadh, Saudi Arabia Monastir Univ., Tunisia We the solvability of the two-dimensional stream function-vorticity formulation of the Navier-Stokes equations. We use the time discretization and the method of characteristics order one for solving a quasi-Stokes system that we discretize by a piecewise continuous finite element method. A stabilization technique is used to overcome the loss of optimal error estimate. Finally a parallel numerical algorithm is presented and tested.http://ejde.math.txstate.edu/Volumes/2017/24/abstr.htmlStream functionvorticitystabilized method, high performance computing |
| spellingShingle | Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations Electronic Journal of Differential Equations Stream function vorticity stabilized method, high performance computing |
| title | A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations |
| title_full | A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations |
| title_fullStr | A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations |
| title_full_unstemmed | A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations |
| title_short | A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations |
| title_sort | stabilized finite element method for stream function vorticity formulation of navier stokes equations |
| topic | Stream function vorticity stabilized method, high performance computing |
| url | http://ejde.math.txstate.edu/Volumes/2017/24/abstr.html |
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