Support Size Adjustment Algorithm for Reproducing Kernel Particle Method with Semi-Lagrangian Formulation

Abstract:

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As one of meshfree methods, reproducing kernel particle method (RKPM) is usually associated with semi-Lagrangian formulation for large deformation problem to avoid the failure of one-to-one mapping from current configuration to reference configuration. However, numerical crack may happen for large deformation problem working with semi-Lagrangian formulation, if we keep the support size of reproducing kernel shape function as constant. This paper proposed an algorithm to adjust the support size at every step and some numerical results are presented to demonstrate the improvement by the proposed algorithm. Meanwhile, this algorithm is very easy to implement for coding, which does not add much computational cost.

Info:

Periodical:

Advanced Materials Research (Volumes 368-373)

Edited by:

Qing Yang, Li Hua Zhu, Jing Jing He, Zeng Feng Yan and Rui Ren

Pages:

1660-1666

DOI:

10.4028/www.scientific.net/AMR.368-373.1660

Citation:

H. Z. Luo et al., "Support Size Adjustment Algorithm for Reproducing Kernel Particle Method with Semi-Lagrangian Formulation", Advanced Materials Research, Vols. 368-373, pp. 1660-1666, 2012

Online since:

October 2011

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Price:

$35.00

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