High Order Extrapolation Techniques for WENO Finite-Difference Schemes Applied to NACA Airfoil Profiles
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915127840735232 |
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| author | Baeza, Antonio Mulet, Pep Zorío, David |
| author_facet | Baeza, Antonio Mulet, Pep Zorío, David |
| contents | Finite-difference WENO schemes are capable of approximating accurately and efficiently weak solutions of hyperbolic conservation laws. In this context high order numerical boundary conditions have been proven to increase significantly the resolution of the numerical solutions. In this paper a finite-difference WENO scheme is combined with a high order boundary extrapolation technique at ghost cells to solve problems involving NACA airfoil profiles. The results obtained are comparable with those obtained through other techniques involving unstructured meshes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | High Order Extrapolation Techniques for WENO Finite-Difference Schemes Applied to NACA Airfoil Profiles Baeza, Antonio Mulet, Pep Zorío, David Numerical Analysis Finite-difference WENO schemes are capable of approximating accurately and efficiently weak solutions of hyperbolic conservation laws. In this context high order numerical boundary conditions have been proven to increase significantly the resolution of the numerical solutions. In this paper a finite-difference WENO scheme is combined with a high order boundary extrapolation technique at ghost cells to solve problems involving NACA airfoil profiles. The results obtained are comparable with those obtained through other techniques involving unstructured meshes. |
| title | High Order Extrapolation Techniques for WENO Finite-Difference Schemes Applied to NACA Airfoil Profiles |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2501.17590 |