@inproceedings{ba403a0223904572a6239fa8d5e8721a,
title = "Numerical modeling of casting solidification using generalized finite difference method",
abstract = "The system casting-mould is considered. The thermal processes proceeding in a casting subdomain are described using the one domain approach. The model of solidification process is supplemented by the energy equation concerning the mould sub-domain, the continuity conditions given on the contact surface between casting and mould, boundary conditions on the outer surface of the system and the initial ones. To solve the problem the generalized variant of finite difference method (GFDM) is used. Temporary and local values of temperature can be found at the optional set of collocation points from the domain considered. This essential advantage of GFDM allows to locate and thicken nodes at the regions for which the temperature gradients and cooling (heating) rates are considerable. In the final part of the paper, the example of numerical simulation is shown.",
keywords = "Casting solidification, Generalized finite difference method, Numerical simulation",
author = "Bohdan Mochnacki and Ewa Majchrzak",
year = "2010",
doi = "10.4028/www.scientific.net/MSF.638-642.2676",
language = "English",
isbn = "0878492941",
series = "Materials Science Forum",
publisher = "Trans Tech Publications Ltd.",
pages = "2676--2681",
editor = "Tara Chandra and Tara Chandra and Tara Chandra and N. Wanderka and N. Wanderka and N. Wanderka and Walter Reimers and Walter Reimers and Walter Reimers and M. Ionescu and M. Ionescu and M. Ionescu",
booktitle = "THERMEC 2009",
address = "Switzerland",
note = "6th International Conference on Processing and Manufacturing of Advanced Materials - THERMEC'2009 ; Conference date: 25-08-2009 Through 29-08-2009",
}