Efficient numerical simulation of a one-dimensional electrothermal deicer pad

In this paper, a new approach to calculate the transient thermal behavior of an iced electrothermal deicer pad is developed. The method of splines is used to obtain the temperature distribution within the layered pad. Splines are used in order to create a tridiagonal system of equations that can be directly solved by Gauss elimination. The Stefan problem is solved using the enthalpy method along with a recent implicit technique. Only one to three iterations were needed to locate the melt front during any time step. Computational times were shown to be greatly reduced over those of an existing one-dimensional procedure without any reduction in accuracy; the current technique was more than 10 times faster.

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