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

Date

2017-01-19

Authors

Abdelwahed, Mohamed
Chorfi, Nejmeddine
Hassine, Maatoug

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Stream function, Vorticity, Stabilized method, High performance computing

Citation

Abdelwahed, 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.

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Attribution 4.0 International

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