Title   name
KSIAM 2006 Annual Meeting
 
  Title
  Speaker   Ha, Youngsoo  
  Date 2006-11-24
  Host
  Place 건국대학교
  File  의 1 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다.
 
Abstract : Equations of the type ht + (h2 − h3)x = −ǫ3(h3hxxx)x arise in the context of thin films driventhe competing effects of a induced surface tension gradient and gravity. These films arise inthin coating flows and are of great technical and scientific interest. Recently, it has been discoveredthat the interfacial dynamics of these films includes the development of undercompressiveshocks. There is also a growing amount of theoretical work indicating that undercompressiveshocks are observed in other physical systems. Here we focus on the several numerical methodsto apply the model equation and the comparison and analysis of the numerical results. Since wedo not know the exact solution of the model equation we choose one of the schemes and havea approximate solution using very finer grids. In order to accurately compare the solutions weare using an one dimensional model problem.