A Simple Boundary Condition Regularization Strategy for Image Velocimetry Based Pressure Field Reconstruction
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911778867249152 |
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| author | Pryce, Connor Li, Lanyu Whitehead, Jared P. Pan, Zhao |
| author_facet | Pryce, Connor Li, Lanyu Whitehead, Jared P. Pan, Zhao |
| contents | We propose a simple boundary condition regularization strategy to reduce error propagation in pressure field reconstruction from corrupted image velocimetry data. The core idea is to replace the canonical Neumann boundary conditions with Dirichlet ones obtained by integrating the tangential part of the pressure gradient along the boundaries. Rigorous analysis and numerical experiments justify the effectiveness of this regularization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Simple Boundary Condition Regularization Strategy for Image Velocimetry Based Pressure Field Reconstruction Pryce, Connor Li, Lanyu Whitehead, Jared P. Pan, Zhao Fluid Dynamics We propose a simple boundary condition regularization strategy to reduce error propagation in pressure field reconstruction from corrupted image velocimetry data. The core idea is to replace the canonical Neumann boundary conditions with Dirichlet ones obtained by integrating the tangential part of the pressure gradient along the boundaries. Rigorous analysis and numerical experiments justify the effectiveness of this regularization. |
| title | A Simple Boundary Condition Regularization Strategy for Image Velocimetry Based Pressure Field Reconstruction |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2402.11165 |