Fast implicit finite-difference method for the analysis of phase change problems

VR Voller - Numerical Heat Transfer, 1990 - Taylor & Francis
Numerical Heat Transfer, 1990Taylor & Francis
This paper develops a rapid implicit solution technique for the enthalpy formulation of
conduction controlled phase change problems. Initially, three existing implicit enthalpy
schemes are introduced. A new enthalpy solution scheme, requiring no under-or over-
relaxation, is then developed. The previous three schemes and the new scheme are tested
on a range of problems in one and two dimensions. A comparison of CPU times shows that
the new scheme is between 1.5 and 10 times faster than the previous schemes.
This paper develops a rapid implicit solution technique for the enthalpy formulation of conduction controlled phase change problems. Initially, three existing implicit enthalpy schemes are introduced. A new enthalpy solution scheme, requiring no under- or over-relaxation, is then developed. The previous three schemes and the new scheme are tested on a range of problems in one and two dimensions. A comparison of CPU times shows that the new scheme is between 1.5 and 10 times faster than the previous schemes.
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