Mathematical and computational aspects of solidification of pure substances.
Beneš, M. (2001)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Beneš, M. (2001)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Claudio Verdi (1998)
Bollettino dell'Unione Matematica Italiana
Similarity:
Nel presente articolo si illustrano alcuni dei principali metodi numerici per l'approssimazione di modelli matematici legati ai fenomeni di transizione di fase. Per semplificare e contenere l'esposizione ci siamo limitati a discutere con un certo dettaglio i metodi più recenti, presentandoli nel caso di problemi modello, quali il classico problema di Stefan e l'evoluzione di superficie per curvatura media, solo accennando alle applicazioni e modelli più generali.
Beneš, M., Mikula, K. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Bruno Sportisse, Jaouad Boutahar, Edouard Debry, Denis Quélo, Karine Sartelet (2002)
RACSAM
Similarity:
In this article we discuss some issues related to Air Pollution modelling (as viewed by the authors): subgrid parametrization, multiphase modelling, reduction of high dimensional models and data assimilation. Numerical applications are given with POLAIR, a 3D numerical platform devoted to modelling of atmospheric trace species.
Pavel Krejčí, Jürgen Sprekels (1998)
Applications of Mathematics
Similarity:
Phase-field systems as mathematical models for phase transitions have drawn a considerable attention in recent years. However, while they are suitable for capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occurring during phase transition processes. To overcome this shortcoming of existing phase-field theories, the authors have recently proposed a new approach to phase-field models which is based on the mathematical...
Olaf Klein (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
In this paper, a phase field system of Penrose–Fife type with non–conserved order parameter is considered. A class of time–discrete schemes for an initial–boundary value problem for this phase–field system is presented. In three space dimensions, convergence is proved and an error estimate linear with respect to the time–step size is derived.
Erik von Schwerin, Anders Szepessy (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
The dynamics of dendritic growth of a crystal in an undercooled melt is determined by macroscopic diffusion-convection of heat and by capillary forces acting on the nanometer scale of the solid-liquid interface width. Its modelling is useful for instance in processing techniques based on casting. The phase-field method is widely used to study evolution of such microstructural phase transformations on a continuum level; it couples the energy equation to a phenomenological Allen-Cahn/Ginzburg-Landau equation...