This paper presents least square higher order data reconstruction schemes for unstructured grid to enhance the accuracy and robustness of CFD simulations for practical problems. The schemes consist of five novel approaches to more accurately reconstruct 1) the cell-centered data to cell faces, 2) gradient calculation, 3) skew terms for diffusion, 4) skew terms for conjugate wall, and 5) skewness correction for pressure-velocity-density coupling equation. These schemes have demonstrated effectiveness on some critical cases and many problems, and strong potential to improve the accuracy and robustness of CFD computations.
Least Square Data Reconstruction Approach for Unstructured Grid
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Zhang, S, & Jain, K. "Least Square Data Reconstruction Approach for Unstructured Grid." Proceedings of the ASME/JSME 2007 5th Joint Fluids Engineering Conference. Volume 1: Symposia, Parts A and B. San Diego, California, USA. July 30–August 2, 2007. pp. 39-46. ASME. https://doi.org/10.1115/FEDSM2007-37120
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