Open Access

ARTICLE

An Orphan-cell-free Overset Method Based on Meshless MLS Approximation for Coupled Analysis of Overlapping Finite Element Substructures

Dong Ju Woo¹, Jin Oh Yang¹, Beom-Soo Kim¹, Seungsoo Lee¹, Jin Yeon Cho²

1 Department of Aerospace Engineering, INHA University, Korea
2 Corresponding Author, Associate Professor, Department of Aerospace Engineering, INHA University, 253 Yonghyun-Dong, Nam-Gu, Incheon, 402-751, Korea, E-mail: cjy@inha.ac.kr

Computer Modeling in Engineering & Sciences 2008, 30(3), 149-162. https://doi.org/10.3970/cmes.2008.030.149

Abstract

A new orphan-cell-free overset method is proposed to carry out the coupled analysis of overlapping finite element substructures. In the proposed overset method, the meshless MLS (Moving Least Squares) approximation is used to obtain the boundary data for the overlapped interface, whereas the Lagrange interpolation scheme has been commonly used in the conventional overset methods. The meshless character of MLS approximation makes it possible to overcome the problem of orphan-cell, which is often encountered in the conventional overset methods. Further, a new connectivity matrix solution procedure is developed to reduce the computational time in the coupled analysis as a part of the new overset method.
To justify the validity of the proposed method, the patch tests and the convergence tests are carried out for various overlapping models. The efficiency of the connectivity matrix solution procedure over the conventional iterative solving procedure is investigated, and the flexibility of the present overset method in dealing with the overlapping substructures is examined through the several overlapping models, including the case with the orphan-cell.

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Keywords

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