Numerical solution of Stefan problem with time-dependent boundary conditions by variable space grid method

Thermal Science

卷:13

Caldwell James¹  Savović Svetislav² 

[1] Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, People's Republic of China;

[2] Department of Mathematics, Kowloon, City University of Hong Kong, Hong Kong, People's Republic of China + Faculty of Science, Kragujevac;

关键词: Stefan problem;    variable space grid method;    finite differences;   

DOI  :  10.2298/TSCI0904165S

来源: DOAJ

【 摘 要 】

The variable space grid method based on finite differences is applied to the one-dimensional Stefan problem with time-dependent boundary conditions describing the solidification/melting process. The temperature distribution, the position of the moving boundary and its velocity are evaluated in terms of finite differences. It is found that the computational results obtained by the variable space grid method exhibit good agreement with the exact solution. Also the present results for temperature distribution are found to be more accurate compared to those obtained previously by the variable time step method.

【 授权许可】

Unknown