Affiliation:
1. Department of Mathematics, College of Science, King Saud University , P.O. Box 2455 , Riyadh 11451 , Saudi Arabia
Abstract
Abstract
In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure. We use the backward Euler scheme for time discretization and the spectral method for space discretization. We present a complete numerical analysis linked to this variational formulation, which leads us to a priori error estimate.
Reference32 articles.
1. M. Abdelwahed and N. Chorfi, Spectral discretization of the time-dependent vorticity velocity pressure formulation of the Stokes problem, Math. Meth. Appl. Sci. 43 (2020), 1–18.
2. M. Abdelwahed and N. Chorfi, Spectral discretization of the time-dependent vorticity velocity pressure formulation of the Navier-Stokes equations, Bound. Value Probl. 152 (2020), 1–15.
3. M. Amara, D. Capatina, and D. Trujillo, A 3d numerical scheme for the vorticity-velocity-pressure formulation of the Navier-Stokes problem, Intern Report L.M.A., Université de Pau.
4. M. Amara, D. Capatina-Papaghiuc, E. Chacon-Vera, and D. Trujillo, Vorticity-velocity-pressure formulation for Navier-Stokes equations, Comput. Vis. Sci. 6 (2004), 47–52.
5. M. Amara, D. Capatina, and D. Trujillo, Stabilized finite element method for the Navier-Stokes equations, with physical boundary cinditios, Math. Comp. 76 (2007), no. 259, 1195–1217.
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献