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Article information
1999 , Volume 4, ¹ 1, p.88-99
Ovcharova A.S.
Numerical solution of stationary Stephan problem in a domain with a free boundary
The numerical algorithm for plain problem of heat and mass transfer based on the combination of two methods is presented in this paper. In order to determine the phase boundary between a liquid and a solid, the standard approach with "smoothing" of coefficients is used. Computation of the flow in the time-dependent domain is based on the method of fictive domains. In order to find the position of the liquid free surface, a new method, which takes into account the peculiarities of the boundary conditions on the free surface, has been developed. The results of calculations of some sample problems are presented.
[full text] Classificator Msc2000:- *35Q35 Other equations arising in fluid mechanics
- 35R35 Free boundary problems for PDE
- 76D17 Viscous vortex flows
- 76M20 Finite difference methods
- 80A20 Heat and mass transfer, heat flow
- 80A22 Stefan problems, phase changes, etc.
Keywords: Stephan problem, phase transition, stationary flow, viscous incompressible fluid, free boundary, Boussinesq equations, stream function, vortex, fictitious domain method
Author(s):
Ovcharova Alla Sergeevna
Position: Senior Research Scientist
Address: 630090, Russia, Novosibirsk
Phone Office: (383) 333 17 82
E-mail: ovcharova@hydro.nsc.ru
Bibliography link:
Ovcharova A.S. Numerical solution of stationary Stephan problem in a domain with a free boundary // Computational technologies. 1999. V. 4. ¹ 1. P. 88-99
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