Comparative Analysis of Obstacle Approximation Strategies for the Steady Incompressible Navier-Stokes Equations
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913186066726912 |
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| author | Krzyżanowski, Piotr Malikova, Sadokat Mucha, Piotr B. Piasecki, Tomasz |
| author_facet | Krzyżanowski, Piotr Malikova, Sadokat Mucha, Piotr B. Piasecki, Tomasz |
| contents | This paper aims to compare and evaluate various obstacle approximation techniques employed in the context of the steady incompressible Navier-Stokes equations. Specifically, we investigate the effectiveness of a standard volume penalization approximation and an approximation method utilizing high viscosity inside the obstacle region, as well as their composition. Analytical results concerning the convergence rate of these approaches are provided, and extensive numerical experiments are conducted to validate their performance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02356 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comparative Analysis of Obstacle Approximation Strategies for the Steady Incompressible Navier-Stokes Equations Krzyżanowski, Piotr Malikova, Sadokat Mucha, Piotr B. Piasecki, Tomasz Analysis of PDEs 35Q30, 76D05 This paper aims to compare and evaluate various obstacle approximation techniques employed in the context of the steady incompressible Navier-Stokes equations. Specifically, we investigate the effectiveness of a standard volume penalization approximation and an approximation method utilizing high viscosity inside the obstacle region, as well as their composition. Analytical results concerning the convergence rate of these approaches are provided, and extensive numerical experiments are conducted to validate their performance. |
| title | Comparative Analysis of Obstacle Approximation Strategies for the Steady Incompressible Navier-Stokes Equations |
| topic | Analysis of PDEs 35Q30, 76D05 |
| url | https://arxiv.org/abs/2401.02356 |