AN APPLICATION OF FINITE ELEMENT METHOD FOR A MOVING BOUNDARY PROBLEM
Küçük Resim Yok
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Vinca Inst Nuclear Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Stefan problems called as moving boundary problems are defined by the heat equation on the domain 0 < x < s(t). In these problems, the position of moving boundary s(t) is determined as part of the solution. As a result, they are non-linear problems and thus have limited analytical solutions. In this study, we are going to consider a Stefan problem described as solidification problem. After using variable space grid method and boundary immobilization method, collocation finite element method is applied to the model problem. The numerical solutions obtained for the position of moving boundary are compared with the exact ones and the other numerical solutions existing in the literature. The newly obtained numerical results are more accurate than the others for the time step Delta t = 0.0005, it is also seen from the tables, the numerical solutions converge to exact solutions for the larger element numbers.
Açıklama
Anahtar Kelimeler
variable space grid method, boundary immobilization method, collocation finite element method, cubic B-spline basis functions
Kaynak
Thermal Science
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
22
