Open Access

ABSTRACT

Geometry related treatments for three-dimensional meshless method

Ming-Hsiao Lee^1,2, Wen-Hwa Chen^1,3

1 Dep. of Power Mech. Engng., National Tsing Hua University, Hsinchu, Taiwan, ROC
2 National Center for High-performance Computing, National Applied Research Laboratories,Taiwan, ROC
3 National Applied Research Laboratories, Taiwan, ROC

The International Conference on Computational & Experimental Engineering and Sciences 2010, 14(4), 115-124. https://doi.org/10.3970/icces.2010.014.115

Abstract

The meshless method has a distinct advantage that it needs only nodes without an element mesh which usually induces time-consuming work and inaccuracy when the elements are distorted during the analysis process. However, the element mesh provides the geometric information for numerical simulation without the need to judge if the nodes or integration points are inside the analysis domain as in the meshless method, such as the boundary of the analysis domain which is defined by the element's edges or faces and that the integration points are intrinsically inside the elements. Because the analysis model with only nodes in the meshless method lacks these types of geometry related information, some extra complicated treatments are usually required during the numerical simulation, especially, in the cases with three-dimensional irregular analysis domain. Therefore, two types of boundary and domain schemes, say, triangulated surface boundary scheme and constructive solid geometry scheme, are employed in this work. Several demonstrative cases prove the effectiveness of the proposed schemes.

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Keywords

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