Abstract
A linear trial function CVBEM model of a steady-state, two-dimensional freezing front is extended to the Hermite cubic polynomial trial function. The utility of this extension is demonstrated by the reduction in effort needed (over the linear trial function model) to develop an approximate boundary for error analysis, due to the derivative terms being included in the Hermite model. The modeling approach can be used not only for simple field problems, but also for the calibration of more sophisticated soil-water phase change models based on the more popular finite element and finite difference techniques.
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