Moving grid scheme for multiple moving boundaries

Computer Methods in Applied Mechanics and Engineering

Volumn 167, Issue 3-4, 1998, Pages 345-353

  Gupta, S C ^a   Laitinen, E ^b   Valtteri, T ^b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b UNIVERSITY OF OULU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FREEZING; MATHEMATICAL MODELS; PROBLEM SOLVING;

MOVING GRID SCHEME; MULTIPLE MOVING BOUNDARIES;

SOLIDIFICATION;

EID: 0032319397     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00149-2     Document Type: Article

References (11)

1. [1] M.N. Özisik and J.C. Uzzel, Jr., Exact solutions for freezing in cylindrical symmetry with extended freezing temperature range, ASME J. Heat Trans. 101 (1979) 331-334.
2. [2] S.C. Gupta, Numerical and analytical solutions of one dimensional freezing of dilute binary alloys with coupled Heat and Mass Transfer, Int. J. Heat Mass Trans. 33 (1990) 593-602.
3. [3] J. Crank, Free and Moving Boundary Problems (Clarendon Press, Oxford, 1984).
4. [4] R.M. Furzeland, A comparative study of numerical methods for moving boundary problems, J. Inst. Math. Applic. 26 (1980) 411-429.
5. [5] M. Zerroukat and C. R. Chatwin, A finite difference algorithm for multiple moving boundary problems using real and virtual grid, J. Comput. Phys. 112 (1994) 298-308.
6. [6] D.R. Athey, A finite difference scheme for melting problems, J. Inst. Math. Applic. 13 (1974) 353-366.
7. [7] S.C. Gupta, Moving boundaries due to distributed sources in a slab, Appl. Sci. Res. 54 (1995) 137-160.
8. [8] H. Van Vlack, Elements of Material Science, 2nd edition (Addison Wesley Publishing Co. Reading MA. 1967) 234-269.
9. [9] A. Bossavit, A. Damlamian and M. Fremond, eds., Free Boundary Problems: Applications and Theory, Vol 3 (Pitman, 1985) 157-165.
10. [10] C. Caginalp, An analysis of a phase field model of a free boundary, Archive Rat. Mech. Anal. 92 (1986) 205-245.
11. [11] W.D. Murray and F. Landis, Numerical and machine solutions of transient heat conduction problems involving melting or freezing. Part I Method of analysis and sample solutions, ASME J. Heat Trans. 81 (1959) 106-112.