Data di Pubblicazione:
2002
Citazione:
Stability of flat interfaces during semidiscrete solidification / A. Veeser. - In: MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE. - ISSN 0764-583X. - 36:4(2002), pp. 573-595.
Abstract:
The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs--Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained stability properties differ from those with respect to the quasi-static model for certain parameter values and relatively coarse meshes. Moreover, consequences on discretization issues are discussed.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
(Mullins-Sekerka) stability analysis; Dendritic growth; Morphological instabilities; Moving finite elements; Phase transitions; Secondary sidebranching; Spatial semidiscretization; Stefan condition; Surface tension
Elenco autori:
A. Veeser
Link alla scheda completa: