The main goal of this work is to provide a new tool to reconstruct three-dimensional data from a few two-dimensional planes. To this purpose, spatio-temporal higher order dynamic mode decomposition (HODMD) is applied to a group of vertical and horizontal planes, located at different positions in space. Firstly, the method extracts the relevant frequencies and wavenumbers related to the field analyzed, providing two-dimensional HODMD expansions. Secondly, a system of equations is constructed in the vertical planes using the previous information. Solving this equation system, it is possible to expand the two-dimensional HODMD solutions to recover a three-dimensional HODMD expansion, representing the complete three-dimensional flow field. This method has been successfully tested to reconstruct a three-dimensional toy problem with great precision (error smaller than 10 - 10 ). The method could be potentially used in the analysis of turbulent flows (numerical and experimental data), extracting relevant three-dimensional information from the two-dimensional data with reduced computational cost (soft computing).
CITATION STYLE
Pérez, J. M., Clainche, S. L., & Vega, J. M. (2020). Generating Three-Dimensional Fields from Two-Dimensional Soft Computing Strategies. In Advances in Intelligent Systems and Computing (Vol. 950, pp. 587–595). Springer Verlag. https://doi.org/10.1007/978-3-030-20055-8_56
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