Meshless Simulation of Hele-Shaw Flow

Bernal Martínez, Francisco Manuel; Kindelan Segura, Manuel

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Meshless Simulation of Hele-Shaw Flow

Author(s): Bernal Martínez, Francisco Manuel; Kindelan Segura, Manuel

Publisher: Springer

Issued date: 2008-06-01

Citation: Progress in Industrial Mathematics at ECMI 2006. (Mathematics in Industry; 12). Springer-Verlag Berlin Heidelberg, 2008. Pp. 677-682.

ISBN: 978-3-540-71992-2 (online)
978-3-540-71991-5 (print)

DOI: https://doi.org/10.1007/978-3-540-71992-2_113

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Comunidad de Madrid
Ministerio de Educación, Cultura y Deporte (España)

Sponsor: This work has been supported by the Spanish MECD grants MAT2005-05730 and FIS2007-62673 and by Madrid Autonomous Region grant S-0505. F. Bernal acknowledges E. Kansa, G. Fasshauer, R. Beatson and L. Ling for their most useful comments.

Review: PeerReviewed

Serie/No.: Mathematics in Industry; 12

Project: Gobierno de España. MAT2005-05730-C02-01
Gobierno de España. FIS2007-62673
Comunidad de Madrid. S-0505/ENE/0229

Keywords: Radial basis function , Root mean square , Injection molding , Newton iteration , Collocation node

URI: http://hdl.handle.net/10016/32076

Rights: © Springer-Verlag Berlin Heidelberg 2008

Abstract:

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 [+]