Abstract
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.
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Datasets and codes are available from the corresponding author, Z.P. upon reasonable request.
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Acknowledgements
We thank the discussion with Drs. Fernando Zigunov and Grady Wright. This work is partially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) Discovery Grant (RGPIN-2020-04486) and the Undergraduate Research Assistantship (URA) program, University of Waterloo. J.P.W. was partially supported by NSF grant DMS-2206762.
Funding
This research is partially supported by the NSERC Discovery Grant (RGPIN-2020-04486), Undergraduate Research Assistantship (URA) program of University of Waterloo, and NSF grant DMS-2206762.
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Z.P. conceived the research. Z.P., J.W., and C.P. developed the theory. C.P., L.L., and Z.P. generated the data and carried out the validation tests. C.P. and Z.P. analyzed the data and wrote the manuscript.
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Pryce, C., Li, L., Whitehead, J.P. et al. A simple boundary condition regularization strategy for image velocimetry-based pressure field reconstruction. Exp Fluids 65, 82 (2024). https://doi.org/10.1007/s00348-024-03821-0
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DOI: https://doi.org/10.1007/s00348-024-03821-0