Abdelwahed, MohamedChorfi, NejmeddineHassine, Maatoug2022-03-212022-03-212017-01-19Abdelwahed, M., Chorfi, N., & Hassine, M. (2017). A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations. <i>Electronic Journal of Differential Equations, 2017</i>(24), pp. 1-10.1072-6691https://hdl.handle.net/10877/15529We 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalStream functionVorticityStabilized methodHigh performance computingArticle