Enriched Reproducing Kernel Particle Approximation for Simulating Problems Involving Moving Interfaces: Application to Solidification Problems

Jean Trunzler (1) , P. Joyot (1) , Francisco Chinesta (2) , Patrick Reuter (1)

1 ESTIA INSTITUTE OF TECHNOLOGY
2 LMSP - Laboratoire de Mécanique des Systèmes et des Procédés

This paper presents a new method to simulate problems with moving interfaces. We use a meshless method where the approximation functions can reproduce discontinuities in the field derivatives. The position of the discontinuity is defined independent of the nodes that define the approximation. We apply our method to the propagation of a melting boundary.

Mots clés: ERKPM; Stefan problem; Numerical simulation; Meshless methods; Collocation techniques

Domaines: Génie des procédés; Matière Condensée [cond-mat]

Jean Trunzler, P. Joyot, Francisco Chinesta, Patrick Reuter. Enriched Reproducing Kernel Particle Approximation for Simulating Problems Involving Moving Interfaces: Application to Solidification Problems. 8th ESAFORM Conference on Material Forming (ESAFORM 2005), Apr 2005, Cluj-Napoca, Romania. pp.97-100. ⟨hal-00020869⟩