Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 50, 2006 - Issue 2
276
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Using Event Location in Finite-Difference Methods for Phase-Change Problems

&
Pages 143-155 | Received 15 Jul 2005, Accepted 27 Oct 2005, Published online: 24 Feb 2007

REFERENCES

  • I. Kovacevic , A. Poredos , and B. Sarler , Solving the Stefan Problem with the Radial Basis Function Collocation Method , Numer. Heat Transfer B , vol. 44 , pp. 575 – 599 , 2003 . [CSA]
  • S. K. Wong and A. Walton , Numerical Solution of Single-Phase Stefan Problem Using a Fictitious Material , Numer. Heat Transfer B , vol. 35 , pp. 211 – 223 , 1999 . [CSA] [CROSSREF]
  • M. W. Yao and A. Chait , An Alternative Formulation of the Apparent Heat-Capacity Method for Phase-Change Problems, Numer. Heat Transfer B , vol. 24, pp. 279–300, 1993. [CSA]
  • S. R. Runnels and G. F. Carey , Finite Element Simulation of Phase Change Using Capacitance Methods , Numer. Heat Transfer B , vol. 19 , pp. 13 – 30 , 1991 . [CSA]
  • D. M. Christopher , Comparison of Interface-Following Techniques for Numerical Analysis of Phase-Change Problems , Numer. Heat Transfer B , vol. 39 , pp. 189 – 206 , 2001 . [CSA] [CROSSREF]
  • R. Griffith and B. Nasserharif , Comparison of One-Dimensional Interface-Following and Enthalpy Methods for the Numerical Solution of Phase Change , Numer. Heat Transfer B , vol. 18 , pp. 169 – 178 , 1990 . [CSA]
  • Q. T. Pham , Comparison of General-Purpose Finite-Element Methods for the Stefan Problem , Numer. Heat Transfer B , vol. 27 , pp. 417 – 435 , 1995 . [CSA]
  • V. R. Voller , Fast Implicit Finite-Difference Method for the Analysis of Phase Change Problems , Numer. Heat Transfer B , vol. 17 , pp. 155 – 169 , 1990 . [CSA]
  • M. Zerroukat and C. R. Chatwin , Computational Moving Boundary Problems , chap. 2 , Research Studies Press , Taunton , Somerset , England , 1994 .
  • M. Zerroukat and C. R. Chatwin , An Explicit Unconditionally Stable Variable Time-Step Method for One-Dimensional Stefan Problems , Int. J. Numer. Meth. Eng. , vol. 35 , pp. 1503 – 1520 , 1992 . [CSA] [CROSSREF]
  • C. K. Chun and S. O. Park , A Fixed-Grid Finite-Difference Method for Phase-Change Problems , Numer. Heat Transfer B , vol. 38 , pp. 59 – 73 , 2000 . [CSA] [CROSSREF]
  • MATLAB , MATLAB 7 , MathWorks , Natick , MA , 2004 .
  • J. Crank , Free and Moving Boundary Problems , Oxford University Press , Oxford , England , 1984 .
  • P. Barton , Modeling, Simulation, and Sensitivity Analysis of Hybrid Systems: Mathematical Foundations, Numerical Solutions, and Software Implementations , Proc. IEEE Int. Symp. on Computer Aided Control System Design , Anchorage , AK , 2000 , pp. 117 – 122 .
  • L. F. Shampine , I. Gladwell , and S. Thompson , Solving ODEs with MATLAB , Cambridge University Press , New York , 2003 .
  • L. F. Shampine and S. Thompson , Event Location for Ordinary Differential Equations , Comput. Math. Appl. , vol. 39 , pp. 43 – 54 , 2000 . [CSA]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.