Support Size Adjustment Algorithm for Reproducing Kernel Particle Method with Semi-Lagrangian Formulation
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.
Qing Yang, Li Hua Zhu, Jing Jing He, Zeng Feng Yan and Rui Ren
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