1. Stabilized Gauge Uzawa scheme for an incompressible micropolar fluid flow
- Author
-
Toufic El Arwadi, Sarah Slayi, and Séréna Dib
- Subjects
Numerical Analysis ,Applied Mathematics ,010103 numerical & computational mathematics ,Gauge (firearms) ,01 natural sciences ,Stability (probability) ,Physics::Fluid Dynamics ,010101 applied mathematics ,Computational Mathematics ,Scheme (mathematics) ,Convergence (routing) ,Compressibility ,Fluid dynamics ,Applied mathematics ,A priori and a posteriori ,0101 mathematics ,Mathematics - Abstract
In this paper, a second order Gauge Uzawa scheme for the governing equations of an incompressible micropolar fluid flow is introduced and analyzed. The derivation of this scheme is obtained using the second order backward difference approximation. Later, the unconditional stability of the GUM scheme for the micropolar equations will be shown. Then, an a priori error estimate is established to prove the convergence. Finally, we present some numerical simulations that confirm the theoretical results.
- Published
- 2021