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Density field reconstruction from time-series schlieren images via extended phase-consistent dynamic mode decomposition

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Abstract

The extended phase-consistent dynamic mode decomposition (DMD) method, which reconstructs density fields from density gradient fields in multiple directions, was developed and applied to schlieren images in the low-density wind tunnel tests. Schlieren images were acquired in the Re = 3000, 10,000, and M = 0.15, 0.50 flows around a triangular airfoil, and the density gradient fields were calculated from the calibration of the optical system. The proposed density field reconstruction method adopts the extended phase-consistent DMD principle for the estimation of the DMD modes of the density field. The density field was reconstructed with good accuracy in a numerical simulation for comparison, and the density fluctuation region caused by vortex shedding around a triangular airfoil was visualized by the experimental data.

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The data and materials of the present are available from the corresponding author on reasonable request.

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Funding

This work was supported by the Japan Society for the Promotion of Science, KAKENHI Grants JP19H00800, JP21K14071, JP22H00516, and Japan Science and Technology Agency, FOREST Grant Number, JPMJFR202C. T. Nagata was supported by Japan Science and Technology Agency, CREST Grant Number JPMJCR1763.

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  1. Department of Aerospace Engineering, Graduate School of Engineering, Tohoku University, 6-6-01 Aramaki-Aza-Aoba, Aoba-ku, Sendai, 980-8579, Japan

    Tsuyoshi Shigeta, Takayuki Nagata & Taku Nonomura

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  1. Tsuyoshi Shigeta
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  2. Takayuki Nagata
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by TS. The first draft of the manuscript was written by TS, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Tsuyoshi Shigeta.

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Shigeta, T., Nagata, T. & Nonomura, T. Density field reconstruction from time-series schlieren images via extended phase-consistent dynamic mode decomposition. Exp Fluids 64, 130 (2023). https://doi.org/10.1007/s00348-023-03668-x

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