Solution of Stephan"s problem by the potential method in a model of formation of the fibrous composites under a technology of directed solution. І

  

I. M. Frantsevich Institute for Problems of Materials Science of the NAS of Ukraine, Krzhizhanovsky str., 3, Kyiv, 03142, Ukraine
Mathematical Models and Computing Experiment in Material Science - Kiev: Frantsevich Institute for Problems of Materials Science NASU, 2012, #14
http://www.materials.kiev.ua/article/601

Abstract

To describe the process of directed solidification, a model of formation of fibrous composites in a form of Stephan"s problem with appropriate initial and boundary conditions has been suggested. To resolve the problem a method of potentials is applied. The algorithm of numerical solution of the obtained equations with elevation of a degree of accuracy for each calculated function is built. The results of calculations for definite systems will be presented in the next paper.


DIRECTED SOLUTION, METHOD OF POTENTIALS, STEPHAN"S PROBLEM, СOMPOSITE