An implicit enthalpy scheme for one-phase Stefan problems. (English) Zbl 0725.65128
The one-dimensional, one-phase Stefan problem is analyzed in terms of a compact finite difference solution. It is shown, that the moving interface can be determined within 3-4 iterations per time step for the implicit formulation chosen. The paper is interesting in the sense that is suggests additional studies to clarify numerical irregularities observed for the case, that the front moves relative to a fixed grid.
Reviewer: E.Krause (Aachen)
MSC:
| 65Z05 | Applications to the sciences |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 80A22 | Stefan problems, phase changes, etc. |
| 35Q72 | Other PDE from mechanics (MSC2000) |
| 35R35 | Free boundary problems for PDEs |
| 35K05 | Heat equation |
Keywords:
compact schemes; diffusion equation; ADI techniques; implicit enthalpy scheme; Stefan problem; compact finite difference solutionReferences:
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