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Meshless Simulation of Hele-Shaw Flow

Bernal, Francisco; Kindelan, Manuel

Progress in Industrial Mathematics at ECMI 2006 , Mathematics in Industry, Springer Berlin Heidelberg, 12 (2008), 677-682

In a previous chapter [F. Bernal and M. Kindelan An RBF Meshless Method for Injection Molding Modelling, Lecture Notes in Computational Science and Engineering, Springer (2006)], a novel meshless approach was proposed for solving the Hele-Shaw flow which models plastic injection molding, in the case of a Newtonian fluid. Here, we have extended this idea to non-Newtonian Hele-Shaw flow via a Newton algorithm for the resulting nonlinear PDE.