An approximate-solution-based numerical scheme for stefan problem with time-dependent boundary conditions

Numerical Heat Transfer, Part B: Fundamentals

Volumn 33, Issue 3, 1998, Pages 269-285

  Rizwan Uddin, R ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; BOUNDARY CONDITIONS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; TEMPERATURE DISTRIBUTION; THERMAL GRADIENTS;

MOVING BOUNDARY; STEFAN PROBLEM;

HEAT TRANSFER;

EID: 0032041265     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407799808915033     Document Type: Article

References (15)

1. L. S. Yao and J. Prusa, Melting and Freezing, Adu. Heat Transfer, vol. 19, pp. 1-95, 1989.
2. J. R. Ockendon and W. R. Hodgkins (eds.), Moving Boundary Problems in Heat Flow and Diffusion, Clarendon Press, Oxford, 1975.
3. A. A. Samarskii, P. N. Vabishchevich, O. P. Iliev, and A. G. Churbanov, Numerical Simulation of Convection/Diffusion Phase Change ProblemsA Review, Int. J. Heat Mass Transfer, vol. 36, no. 17, pp. 4095-4106, 1993.
4. J. Crank and R. S. Gupta, A Method of Solving Moving Boundary Problems in Heat Flow Using Cubic Splines or Polynomials, J. Int. Math. AppL, vol. 97, pp. 296-304, 1972.
5. R. S. Gupta, Moving Grid Method without Interpolations, Comput. Meth. Appl. Mech. Eng., vol. 4, pp. 143-152, 1974.
6. R. S. Gupta and D. Kumar, A Modified Variable Time Step Method for the OneDimensional Stefan Problem, Comput. Meth. Appl. Mech. Eng., vol. 23, pp. 101-108, 1980.
7. R. S. Gupta and D. Kumar, Variable Time Step Methods for One-Dimensional Stefan Problem with Mixed Boundary Condition, Int. J. Heat Mass Transfer, vol. 24, pp. 251-259, 1981.
8. G. Marshall, A Front Tracking Method for One-Dimensional Moving Boundary Problems, SIAM J. Sei. Slat. Comput., vol. 7, no. 1, pp. 252-263, 1986.
9. R. M. Furzeland, A Comparative Study of Numerical Methods for Moving Boundary Problems, J. Inst. Math. AppL, vol. 26, pp. 411-429, 1980.
10. J. Menning and M. N Özijik, Coupled Integral Equation Approach for Solving Melting or Solidification, Int. J. Heat Mass Transfer, vol. 28, no. 8, pp. 1481-1485, 1985.
11. Y. Y. Azmy and J. J. Doming, A Nodal Integral Approach to the Numerical Solution of Partial Differential Equations, in Advances in Reactor Computations, vol. 2, pp. 893-909, American Nuclear Society, LaGrange Park, IL, 1983.
12. J. P. Hennart, A General Family of Nodal Schemes, SIAM J. Sci. Stat. Comput., vol. 7, no. 1, pp. 264-287, 1986.
13. R. Rizwan-uddin, An Improved Coarse-Mesh Nodal Integral Method for Partial Differential Equations, Numer. Meth. Partial Differential Equations, vol. 13, pp. 113-145, 1997.
14. R. Rizwan-uddin, A Nodal Integral Method for Moving Boundary Phase Change Problem, Proc. Int. Symp. on Computational Heat Transfer, Turkey, May 1997 in press.
15. W. H. Press, S. A. Teukolsky, W. T. Wetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, Cambridge, 1992