Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
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 spect...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-05-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2022-0253 |
| _version_ | 1811185898640900096 |
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| author | Abdelwahed Mohamed Chorfi Nejmeddine |
| author_facet | Abdelwahed Mohamed Chorfi Nejmeddine |
| author_sort | Abdelwahed Mohamed |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T13:37:09Z |
| format | Article |
| id | doaj.art-029ee64160f5432bae7ab3974aafd34f |
| institution | Directory Open Access Journal |
| issn | 2191-950X |
| language | English |
| last_indexed | 2024-04-11T13:37:09Z |
| publishDate | 2022-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-029ee64160f5432bae7ab3974aafd34f2022-12-22T04:21:24ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2022-05-011111447146510.1515/anona-2022-0253Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditionsAbdelwahed Mohamed0Chorfi Nejmeddine1Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn 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.https://doi.org/10.1515/anona-2022-0253time-dependent navier-stokes problemmixed boundary conditionsimplicit euler schemespectral method35q3065m70 |
| spellingShingle | Abdelwahed Mohamed Chorfi Nejmeddine Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions Advances in Nonlinear Analysis time-dependent navier-stokes problem mixed boundary conditions implicit euler scheme spectral method 35q30 65m70 |
| title | Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions |
| title_full | Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions |
| title_fullStr | Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions |
| title_full_unstemmed | Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions |
| title_short | Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions |
| title_sort | spectral discretization of the time dependent navier stokes problem with mixed boundary conditions |
| topic | time-dependent navier-stokes problem mixed boundary conditions implicit euler scheme spectral method 35q30 65m70 |
| url | https://doi.org/10.1515/anona-2022-0253 |
| work_keys_str_mv | AT abdelwahedmohamed spectraldiscretizationofthetimedependentnavierstokesproblemwithmixedboundaryconditions AT chorfinejmeddine spectraldiscretizationofthetimedependentnavierstokesproblemwithmixedboundaryconditions |