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- Title
Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions.
- Authors
Bousbiat, C.; Daikh, Y.; Maarouf, S.; Yakoubi, D.
- Abstract
This paper deals with the analysis of a new augmented formulation in terms of vorticity, velocity and pressure for the Stokes equations with variable viscosity and mixed boundary conditions. The well-posedness of the continuous problem holds under assumptions on the viscosity. When the domain is a parallelepiped, the spectral discretization is proposed using the Galerkin method with numerical integration. Then, we prove the well-posedness of the obtained discrete problem under the same type of conditions on the viscosity. A priori error estimates is then derived for the three unknowns. Finally, numerical experiments are presented that confirm the interest of the discretization.
- Subjects
VISCOSITY; STOKES equations; NUMERICAL integration; GALERKIN methods; STOKES flow; VORTEX motion
- Publication
Calcolo, 2023, Vol 60, Issue 3, p1
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-023-00530-8