Mohamed Abdelwahed, Nejmeddine Chorfi, Maatoug Hassine
Abstract:
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.
Submitted October 29, 2016. Published January 19, 2017.
Math Subject Classifications: 35D30, 76D03, 65N30.
Key Words: Stream function; vorticity; stabilized method,
high performance computing.
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Mohamed Abdelwahed Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: mabdelwahed@ksu.edu.sa |
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Nejmeddine Chorfi Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: nchorfi@ksu.edu.sa |
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Maatoug Hassine Department of Mathematics, College of Sciences Monastir University, Tunisia email: maatoug_hassine@yahoo.fr |
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