A stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations

dc.contributor.authorAbdelwahed, Mohamed
dc.contributor.authorChorfi, Nejmeddine
dc.contributor.authorHassine, Maatoug
dc.date.accessioned2022-03-21T16:06:17Z
dc.date.available2022-03-21T16:06:17Z
dc.date.issued2017-01-19
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAbdelwahed, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15529
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectStream function
dc.subjectVorticity
dc.subjectStabilized method
dc.subjectHigh performance computing
dc.titleA stabilized finite element method for Stream function vorticity formulation of Navier-Stokes equations
dc.typeArticle

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