@article{DING2026, 
author = {Xuejun DING and Fei LIAO and Yao JIN and Jinsheng CAI},
title = {A novel overset grid strategy and high-order inter-grid boundaries treatment with the cell-centered finite difference method},
year = {2026},
journal = {Chinese Journal of Aeronautics},
volume = {39},
number = {3},
keywords = {Cell-centered finite difference method, High-order, Optimized interpolation, Overset grid method},
url = {https://www.sciopen.com/article/10.1016/j.cja.2025.103806},
doi = {10.1016/j.cja.2025.103806},
abstract = {This paper presents an efficient and automated Overset Grid Assembly (OGA) method for the structured grid, and investigates high-order interpolation methods for inter-grid boundaries with the cell-centered finite difference method. Four enhancements are introduced: a hybrid hole-cutting approach integrates the efficiency of approximate hole-cutting and the accuracy and robustness of direct-cutting, effectively addressing challenges such as small gaps and thin cuts; an improved implicit hole boundary optimization method, incorporating quality comparison, can significantly reduce donor search workloads; an improved implicit interpolation cell cancellation algorithm minimizes overlap regions, particularly beneficial for high-order interpolation with large stencils; an algorithm for identifying and eliminating islands without using wall distances, effectively removes islands. The OGA results of a multi-element airfoil, a circular array of cylinders, multiple spheres, and a wing-pylon-store configuration indicate that the proposed method would be a suitable selection for multi-body problems, even in the presence of small gaps and thin geometries. Additionally, for high-order interpolation at inter-grid boundaries, this study presents an optimized interpolation method designed to minimize spectral property errors. Numerical results indicate that for periodic problems frequently crossing inter-grid boundaries, the optimized interpolation is more accurate than classical Lagrange interpolation and would be a suitable selection.}
}