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| Main Author: | |
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| Format: | Preprint |
| Published: |
2001
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0109109 |
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| _version_ | 1866912655313207296 |
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| author | Fairag, Faisal |
| author_facet | Fairag, Faisal |
| contents | We consider two-level finite element discretization methods for the stream function formulation of the Navier-Stokes equations. The two-level method consists of solving a small nonlinear system on the coarse mesh, then solving a linear system on the fine mesh. The basic result states that the errors between the coarse and fine meshes are related superlinearly. This paper demonstrates that the two-level method can be implemented to approximate efficiently solutions to the Navier-Stokes equations. Two fluid flow calculations are considered to test problems which have a known solution and the driven cavity problem. Stream function contours are displayed showing the main features of the flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0109109 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Numerical Computations of Viscous, Incompressible Flow Problems Using a Two-Level Finite Element Method Fairag, Faisal Numerical Analysis 65N35; 76M30; 76D05 We consider two-level finite element discretization methods for the stream function formulation of the Navier-Stokes equations. The two-level method consists of solving a small nonlinear system on the coarse mesh, then solving a linear system on the fine mesh. The basic result states that the errors between the coarse and fine meshes are related superlinearly. This paper demonstrates that the two-level method can be implemented to approximate efficiently solutions to the Navier-Stokes equations. Two fluid flow calculations are considered to test problems which have a known solution and the driven cavity problem. Stream function contours are displayed showing the main features of the flow. |
| title | Numerical Computations of Viscous, Incompressible Flow Problems Using a Two-Level Finite Element Method |
| topic | Numerical Analysis 65N35; 76M30; 76D05 |
| url | https://arxiv.org/abs/math/0109109 |