Enhanced algorithms for implementing the spectral discretization of the vorticity‐velocity‐pressure formulation of Stokes problem | Zendy

Ouertani Henda | Zendy; Alsaeed Duaa H. | Zendy; AlBaity Heyam | Zendy; Chorfi Nejmeddine | Zendy

Premium

Enhanced algorithms for implementing the spectral discretization of the vorticity‐velocity‐pressure formulation of Stokes problem

Author(s) -

Ouertani Henda,

Alsaeed Duaa H.,

AlBaity Heyam,

Chorfi Nejmeddine

Publication year - 2019

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.5759

Subject(s) - discretization , vorticity , mathematics , cube (algebra) , resolution (logic) , algorithm , boundary (topology) , mathematical analysis , vortex , geometry , computer science , mechanics , physics , artificial intelligence

In this paper, we deal with the numerical resolution of spectral discretization of the vorticity‐velocity‐pressure formulation of Stokes problem in a square or a cube provided with nonstandard boundary conditions, which involve the normal component of the velocity and the tangential components of the vorticity. Therefore, we propose two algorithms: the Uzawa algorithm and the global resolution. We implemented the two algorithms and compared their results. With global resolution, we obtained a very good accuracy with a small number of iteration.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research